User Notamathematician

2 votes

1 answer

172 views

Permutation and its binary analog

asked Apr 3, 2023 at 10:03

2 votes

0 answers

76 views

Uniqueness of the permutation

asked Apr 14, 2023 at 9:25

2 votes

0 answers

70 views

Integer coefficients such that $T(n,k)=R(n,k)-R(n,k-1)$

asked Apr 22, 2023 at 9:37

2 votes

0 answers

105 views

Sequences that sum up to the many sequences in the OEIS

asked Apr 26, 2023 at 8:03

2 votes

0 answers

61 views

Odious twin locations related to the sequence based on $d(n) = n-d(d(n-1))-d(d(n-2))$

asked May 21, 2022 at 10:54

2 votes

0 answers

117 views

Closed form for coefficients related to excedance set of permutation

asked Nov 22, 2022 at 10:39

2 votes

0 answers

71 views

Closed form for the number of permutations with a given excedance set

asked Dec 22, 2022 at 7:55

2 votes

0 answers

115 views

Closed form for the sum of the integer coefficients

asked Dec 29, 2022 at 9:10

2 votes

0 answers

157 views

Closed form for the A347205

asked Dec 30, 2022 at 9:17

1 vote

0 answers

100 views

Subsequence such that $c(a(n))=2^n$

asked Jan 11, 2023 at 17:46

1 vote

0 answers

194 views

Closed form for partial sums of A103318

asked May 30, 2022 at 13:38

1 vote

0 answers

69 views

Recurrences (based on Fibonacci numbers) for the first differences of numbers filtred by equality of binary functions

asked Jul 31, 2022 at 11:11

1 vote

0 answers

100 views

Conjecture on numbers $k$ having only one partition into parts with same binary weight as a binary weight of $k$

asked Sep 22, 2022 at 6:56

1 vote

0 answers

67 views

Recurrence for permutation of A007306 (denominators of Farey tree fractions)

asked Oct 10, 2022 at 14:03

1 vote

1 answer

110 views

Number of steps required to get one ball in each box for $n=2^k$

asked Oct 18, 2022 at 12:00

1 vote

0 answers

38 views

Sequences that sum up to $\frac{m^{n+1}}{n+1}\binom{2n}{n}{}_2F_1(1,n+\frac{1}{2}; n+2; -4m(m-1))$

asked May 17, 2023 at 11:39

1 vote

0 answers

94 views

Application of the series reversion

asked May 27, 2023 at 18:31

1 vote

0 answers

134 views

Recurrence for the A284005

asked Apr 18, 2023 at 9:05

1 vote

0 answers

57 views

Recurrence for the number of permutations with a given excedance set

asked Apr 20, 2023 at 8:08

1 vote

0 answers

109 views

Existence of binary permutations with a given property

asked Apr 5, 2023 at 3:12

1 vote

0 answers

81 views

Infiniteness of the pairs of sequences with a given conditions

asked Mar 29, 2023 at 10:26

1 vote

1 answer

114 views

Coefficients of number of the same terms which are arising from iterations based on binary expansion of $n$

asked Mar 4, 2023 at 11:57

1 vote

0 answers

85 views

Permutation to get Stolarsky representation from lazy Fibonacci (dual Zeckendorf) representation

asked Mar 13, 2023 at 13:23

1 vote

1 answer

114 views

Numbers $m$ for which coefficients of the polynomial $p(m,x)$ are relatively prime

asked Apr 7, 2022 at 19:30

1 vote

1 answer

90 views

Stern-Brocot tree and subtree

asked Mar 14, 2022 at 7:54

1 vote

0 answers

46 views

Permutation of nonnegative integers applied to the numbers $n$ whose binary expansion does not begin with $11$

asked Jan 19, 2022 at 13:13

1 vote

0 answers

156 views

Open tours by a biased rook (proof verification)

asked Nov 20, 2021 at 15:09

1 vote

0 answers

57 views

Inverse modulo $2$ binomial transform of generalised A284005

asked Nov 23, 2021 at 11:13

1 vote

0 answers

58 views

Subsequences related with square table

asked Nov 13, 2021 at 16:35

1 vote

1 answer

295 views

Formula from the recurrence relation

asked Oct 17, 2021 at 18:08

Stack Exchange Network

185 Questions

Permutation and its binary analog

Uniqueness of the permutation

Integer coefficients such that $T(n,k)=R(n,k)-R(n,k-1)$

Sequences that sum up to the many sequences in the OEIS

Odious twin locations related to the sequence based on $d(n) = n-d(d(n-1))-d(d(n-2))$

Closed form for coefficients related to excedance set of permutation

Closed form for the number of permutations with a given excedance set

Closed form for the sum of the integer coefficients

Closed form for the A347205

Subsequence such that $c(a(n))=2^n$

Closed form for partial sums of A103318

Recurrences (based on Fibonacci numbers) for the first differences of numbers filtred by equality of binary functions

Conjecture on numbers $k$ having only one partition into parts with same binary weight as a binary weight of $k$

Recurrence for permutation of A007306 (denominators of Farey tree fractions)

Number of steps required to get one ball in each box for $n=2^k$

Sequences that sum up to $\frac{m^{n+1}}{n+1}\binom{2n}{n}{}_2F_1(1,n+\frac{1}{2}; n+2; -4m(m-1))$

Application of the series reversion

Recurrence for the A284005

Recurrence for the number of permutations with a given excedance set

Existence of binary permutations with a given property

Infiniteness of the pairs of sequences with a given conditions

Coefficients of number of the same terms which are arising from iterations based on binary expansion of $n$

Permutation to get Stolarsky representation from lazy Fibonacci (dual Zeckendorf) representation

Numbers $m$ for which coefficients of the polynomial $p(m,x)$ are relatively prime

Stern-Brocot tree and subtree

Permutation of nonnegative integers applied to the numbers $n$ whose binary expansion does not begin with $11$

Open tours by a biased rook (proof verification)

Inverse modulo $2$ binomial transform of generalised A284005

Subsequences related with square table

Formula from the recurrence relation