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.

A218379 Number of partitions of n into pentagonal parts.

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%I A218379 #27 Dec 09 2017 20:27:26
%S A218379 1,1,1,1,1,2,2,2,2,2,3,3,4,4,4,5,5,6,6,6,7,7,9,9,10,11,11,13,13,14,15,
%T A218379 15,17,17,19,21,22,24,24,26,28,29,31,31,34,36,38,41,42,45,47,50,53,54,
%U A218379 57,59,63,67,69,73,76,80,84,87,91,94,99,103,107,112,118,124
%N A218379 Number of partitions of n into pentagonal parts.
%H A218379 Seiichi Manyama, <a href="/A218379/b218379.txt">Table of n, a(n) for n = 0..10000</a> (terms 1..100 from Antonio Roldán)
%e A218379 A(15)=5 because 15 = 12+1+1+1 = 5+5+5 = 5+5+1+1+1+1+1 = 5+1+1+1+1+1+1+1+1+1+1 = 1+1+1+1+1+1+1+1+1+1+1+1+1+1+1 with 12, 5, 1 pentagonal numbers.
%o A218379 (PARI) {for (n=1, 100,p=truncate((1+sqrt(24*n+1))/6);m=polcoeff(prod(k=1,p,q=(3*k-1)*k/2;sum(h=0,truncate(n/q+1),x^(h*q))),n);write("B218379.txt",n," ",m))}
%Y A218379 Cf. A000326, A095699.
%K A218379 nonn
%O A218379 0,6
%A A218379 _Antonio Roldán_, Oct 27 2012
%E A218379 a(0) = 1 prepended by _Seiichi Manyama_, Dec 09 2017