cp's OEIS Frontend

A240016 Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 7.

%I A240016 #6 Mar 30 2014 18:00:12
%S A240016 1,0,1,1,2,2,4,4,7,8,12,14,21,24,34,41,54,66,86,105,133,164,203,250,
%T A240016 308,376,458,560,675,821,986,1192,1423,1716,2037,2445,2894,3455,4076,
%U A240016 4849,5700,6752,7921,9342,10930,12850,14994,17566,20456,23884,27752,32311
%N A240016 Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 7.
%C A240016 With offset 14 number of partitions of n, where the difference between the number of odd parts and the number of even parts is -7.
%H A240016 Alois P. Heinz, <a href="/A240016/b240016.txt">Table of n, a(n) for n = 7..1000</a>
%p A240016 b:= proc(n, i, t) option remember; `if`(abs(t)>n, 0,
%p A240016       `if`(n=0, 1, `if`(i<1, 0, b(n, i-1, t)+
%p A240016       `if`(i>n, 0, b(n-i, i, t+(2*irem(i, 2)-1))))))
%p A240016     end:
%p A240016 a:= n-> b(n$2, -7):
%p A240016 seq(a(n), n=7..80);
%Y A240016 Column k=7 of A240009.
%K A240016 nonn
%O A240016 7,5
%A A240016 _Alois P. Heinz_, Mar 30 2014