cp's OEIS Frontend

A240017 Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 8.

%I A240017 #5 Mar 30 2014 18:23:27
%S A240017 1,0,1,1,2,2,4,4,7,8,12,14,21,24,34,41,55,66,87,105,135,165,206,252,
%T A240017 313,380,466,567,688,833,1006,1212,1454,1748,2083,2495,2963,3532,4177,
%U A240017 4965,5848,6924,8134,9593,11236,13212,15429,18082,21070,24613,28611,33332
%N A240017 Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 8.
%C A240017 With offset 16 number of partitions of n, where the difference between the number of odd parts and the number of even parts is -8.
%H A240017 Alois P. Heinz, <a href="/A240017/b240017.txt">Table of n, a(n) for n = 8..1000</a>
%p A240017 b:= proc(n, i, t) option remember; `if`(abs(t)>n, 0,
%p A240017       `if`(n=0, 1, `if`(i<1, 0, b(n, i-1, t)+
%p A240017       `if`(i>n, 0, b(n-i, i, t+(2*irem(i, 2)-1))))))
%p A240017     end:
%p A240017 a:= n-> b(n$2, -8):
%p A240017 seq(a(n), n=8..80);
%Y A240017 Column k=8 of A240009.
%K A240017 nonn
%O A240017 8,5
%A A240017 _Alois P. Heinz_, Mar 30 2014