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.

A296371 Number of integer partitions of n using Jacobsthal numbers.

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%I A296371 #9 Dec 27 2017 18:41:46
%S A296371 1,1,1,2,2,3,4,4,5,6,7,9,10,11,13,15,17,19,21,23,26,30,33,36,40,44,49,
%T A296371 54,58,63,69,75,82,89,95,103,112,120,129,138,147,158,170,182,194,207,
%U A296371 221,236,252,267,283,301,319,339,360,380,402,426,450,475,501,527
%N A296371 Number of integer partitions of n using Jacobsthal numbers.
%H A296371 Alois P. Heinz, <a href="/A296371/b296371.txt">Table of n, a(n) for n = 0..10000</a>
%e A296371 The a(10) = 7 partitions are (1111111111), (31111111), (331111), (3331), (511111), (5311), (55).
%t A296371 nn=6;
%t A296371 jac[n_]:=(2^n-(-1)^n)/3;
%t A296371 Table[SeriesCoefficient[Product[1/(1-x^jac[i]),{i,2,nn}],{x,0,n}],{n,jac[nn]}]
%Y A296371 Cf. A000041, A001045, A003158, A018819, A050377, A197911.
%K A296371 nonn
%O A296371 0,4
%A A296371 _Gus Wiseman_, Dec 11 2017