cp's OEIS Frontend

A240018 Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 9.

%I A240018 #5 Mar 30 2014 19:11:41
%S A240018 1,0,1,1,2,2,4,4,7,8,12,14,21,24,34,41,55,66,88,105,136,165,208,253,
%T A240018 316,382,471,571,696,840,1019,1224,1474,1768,2114,2527,3010,3582,4247,
%U A240018 5042,5951,7040,8285,9766,11454,13465,15742,18448,21516,25136,29241,34073
%N A240018 Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 9.
%C A240018 With offset 18 number of partitions of n, where the difference between the number of odd parts and the number of even parts is -9.
%H A240018 Alois P. Heinz, <a href="/A240018/b240018.txt">Table of n, a(n) for n = 9..1000</a>
%p A240018 b:= proc(n, i, t) option remember; `if`(abs(t)>n, 0,
%p A240018       `if`(n=0, 1, `if`(i<1, 0, b(n, i-1, t)+
%p A240018       `if`(i>n, 0, b(n-i, i, t+(2*irem(i, 2)-1))))))
%p A240018     end:
%p A240018 a:= n-> b(n$2, -9):
%p A240018 seq(a(n), n=9..80);
%Y A240018 Column k=9 of A240009.
%K A240018 nonn
%O A240018 9,5
%A A240018 _Alois P. Heinz_, Mar 30 2014