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

1, 0, 1, 1, 2, 2, 4, 4, 7, 8, 12, 14, 21, 24, 34, 41, 55, 66, 88, 105, 136, 165, 208, 253, 316, 382, 471, 571, 696, 840, 1019, 1224, 1474, 1768, 2114, 2527, 3010, 3582, 4247, 5042, 5951, 7040, 8285, 9766, 11454, 13465, 15742, 18448, 21516, 25136, 29241, 34073

Offset

9,5

Comments

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.

Links

Alois P. Heinz, Table of n, a(n) for n = 9..1000

Maple

b:= proc(n, i, t) option remember; `if`(abs(t)>n, 0,
      `if`(n=0, 1, `if`(i<1, 0, b(n, i-1, t)+
      `if`(i>n, 0, b(n-i, i, t+(2*irem(i, 2)-1))))))
    end:
a:= n-> b(n$2, -9):
seq(a(n), n=9..80);

Crossrefs

Column k=9 of A240009.

Sequence in context: A035970 A240017 A035979 * A035989 A240019 A036000

Adjacent sequences: A240015 A240016 A240017 * A240019 A240020 A240021

Keyword

nonn

Author

Alois P. Heinz, Mar 30 2014

Status

approved