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Results tagged with integer-sequences
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user 11260
For questions about sequences of integers. References are often made to the online resource oeis.org.
20
votes
Accepted
Kindda-Perfect number: Is there a sequence of numbers which are equal to the sum of its prop...
Such an abundant number with abundance 1 is called a quasiperfect number (which is a more professional way to say "kindda-perfect"). None have been found, according to Wikipedia. This 1982 article say …
- 188k
16
votes
Series and sequences in physical systems & closed form expressions
The Casimir effect is a manifestation of
$$1+2^3+3^3+\cdots=-\frac{1}{120}.$$
The vacuum energy $E$ in the space between two metal plates, separated by a distance $a$ equals
$$E = \frac{ \hbar c \ …
10
votes
Closed form expression for a recursion relation with binomial coefficients
The $T_n$'s are equal to the product of $C$ and the Fubini numbers: number of ordered partitions of $n$, also known as ordered Bell numbers. The generating function is $(2-e^x)^{-1}$ and the large-$n$ …
- 188k
4
votes
Accepted
What is the motivation and purpose of the Floretion group?
A rather comprehensive collection of information on floretions, specifically in the context of Oeis, is Sequences related to floretions.
In essence, most of the "floretion" sequences come from an ite …
- 188k
0
votes
Accepted
Mapping naturals to pairs of naturals and viceversa
$$a_n=\{Y_n,X_n\}$$
where $X_n$ is sequence A319572 and $Y_n$ is sequence A319573 in the OEIS database. These are the coordinates of the stripe enumeration of $N \times N$ where $N = \{0, 1, 2, \ldot …
- 188k