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.

A027194 Number of partitions of n into an even number of parts, the least being 2; also, a(n+2) = number of partitions of n into an odd number of parts, each >=2.

This page as a plain text file.
%I A027194 #11 May 15 2023 11:14:01
%S A027194 0,0,0,1,1,1,1,2,2,3,4,6,7,10,12,17,21,27,33,44,53,68,83,105,127,159,
%T A027194 192,239,288,353,424,519,620,752,898,1083,1288,1545,1831,2188,2587,
%U A027194 3074,3624,4294,5046,5954,6982,8210,9601,11255,13129
%N A027194 Number of partitions of n into an even number of parts, the least being 2; also, a(n+2) = number of partitions of n into an odd number of parts, each >=2.
%F A027194 a(n+2) + A027188(n+2) = A002865(n). - _R. J. Mathar_, Jun 16 2018
%F A027194 G.f.: x^4 * Sum_{k>=0} x^(4*k)/Product_{j=1..2*k+1} (1-x^j). - _Seiichi Manyama_, May 15 2023
%K A027194 nonn
%O A027194 1,8
%A A027194 _Clark Kimberling_