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Notamathematician
  • Member for 3 years, 7 months
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comment
Copy and repeat or copy and sum integer coefficients
I continue to work on it, but there is no result yet.
asked
Copy and repeat or copy and sum integer coefficients
revised
Generalized identity with Stirling numbers of the second kind and falling factorials
added 357 characters in body; edited tags
revised
Generalized identity with Stirling numbers of the second kind and falling factorials
deleted 4 characters in body
asked
Generalized identity with Stirling numbers of the second kind and falling factorials
comment
Closed form for $\sum\limits_{k=0}^{n} [\operatorname{wt}(k) = m]$ where $\operatorname{wt}(n)$ is the binary weight of $n$
Thank you for brilliant answer! Could you also look at my new question?
accepted
Closed form for $\sum\limits_{k=0}^{n} [\operatorname{wt}(k) = m]$ where $\operatorname{wt}(n)$ is the binary weight of $n$
revised
Closed form for $\sum\limits_{k=0}^{n} [\operatorname{wt}(k) = m]$ where $\operatorname{wt}(n)$ is the binary weight of $n$
edited body; edited title
revised
Closed form for $\sum\limits_{k=0}^{n} [\operatorname{wt}(k) = m]$ where $\operatorname{wt}(n)$ is the binary weight of $n$
added 1 character in body
comment
Permutation of the natural numbers from operation related to binary expansion of $n$
Hello Peter! Could you please look at my new question about partial summation related to binary weight?
asked
Closed form for $\sum\limits_{k=0}^{n} [\operatorname{wt}(k) = m]$ where $\operatorname{wt}(n)$ is the binary weight of $n$
accepted
Partial sums of binomial coefficients and related family of polynomials
comment
Partial sums of binomial coefficients and related family of polynomials
I guess it should be $$b(n) = 4nb(n-1) + n!2^n\binom{n-1-\frac{1}{2}}{n}.$$
comment
Partial sums of binomial coefficients and related family of polynomials
Thank you for answer! First part is ok, but what about the second?
revised
Partial sums of binomial coefficients and related family of polynomials
added 2 characters in body
asked
Partial sums of binomial coefficients and related family of polynomials
comment
Step back step forward algorithm for A108442
There is no typo. To check it, see the program on PARI/GP.
asked
Step back step forward algorithm for A108442
revised
Efficient algorithm for A217061
deleted 48 characters in body
revised
Algorithm for $\frac{1}{1-x} = \sum\limits_{n=0}^{\infty}a(n)x^n\prod\limits_{k=1}^{n}\frac{1-kx}{1+kx}$
deleted 49 characters in body
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