cp's OEIS Frontend

A240019 Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 10.

%I A240019 #7 Mar 30 2014 20:12:51
%S A240019 1,0,1,1,2,2,4,4,7,8,12,14,21,24,34,41,55,66,88,105,137,165,209,253,
%T A240019 318,383,474,573,701,844,1027,1231,1487,1780,2134,2547,3041,3614,4294,
%U A240019 5092,6022,7117,8389,9882,11607,13638,15963,18702,21834,25504,29694,34600
%N A240019 Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 10.
%C A240019 With offset 20 number of partitions of n, where the difference between the number of odd parts and the number of even parts is -10.
%H A240019 Alois P. Heinz, <a href="/A240019/b240019.txt">Table of n, a(n) for n = 10..1000</a>
%e A240019 a(17) = 4: [6,1,1,1,1,1,1,1,1,1,1,1], [5,2,1,1,1,1,1,1,1,1,1,1], [4,3,1,1,1,1,1,1,1,1,1,1], [3,3,2,1,1,1,1,1,1,1,1,1].
%p A240019 b:= proc(n, i, t) option remember; `if`(abs(t)>n, 0,
%p A240019       `if`(n=0, 1, `if`(i<1, 0, b(n, i-1, t)+
%p A240019       `if`(i>n, 0, b(n-i, i, t+(2*irem(i, 2)-1))))))
%p A240019     end:
%p A240019 a:= n-> b(n$2, -10):
%p A240019 seq(a(n), n=10..80);
%Y A240019 Column k=10 of A240009.
%K A240019 nonn
%O A240019 10,5
%A A240019 _Alois P. Heinz_, Mar 30 2014