cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A364526 Number of compositions (ordered partitions) of n into parts not greater than sqrt(n).

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%I A364526 #28 Dec 22 2023 10:33:43
%S A364526 1,1,1,1,5,8,13,21,34,149,274,504,927,1705,3136,5768,20569,39648,
%T A364526 76424,147312,283953,547337,1055026,2033628,3919944,11749641,23099186,
%U A364526 45411804,89277256,175514464,345052351,678355061,1333610936,2621810068,5154342880,10133171296
%N A364526 Number of compositions (ordered partitions) of n into parts not greater than sqrt(n).
%H A364526 <a href="/index/Com#comp">Index entries for sequences related to compositions</a>
%F A364526 a(n) = [x^n] 1 / (1 - Sum_{1 <= j <= sqrt(n)} x^j).
%o A364526 (PARI) a(n)=my(s=sqrtint(n), x='x+O('x^(n+1))); polcoef(Pol(Ser(1/(1-sum(j=1,s,x^j)))),n);
%o A364526 vector(33,n,a(n-1)) \\ _Joerg Arndt_, Dec 22 2023
%Y A364526 Cf. A011782, A097356.
%K A364526 nonn
%O A364526 0,5
%A A364526 _Ilya Gutkovskiy_, Dec 22 2023