A240015 Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 6.

1, 0, 1, 1, 2, 2, 4, 4, 7, 8, 12, 14, 21, 24, 33, 41, 53, 66, 84, 104, 130, 162, 198, 246, 300, 369, 445, 548, 655, 801, 956, 1160, 1378, 1666, 1970, 2368, 2796, 3340, 3933, 4679, 5494, 6505, 7626, 8987, 10511, 12346, 14404, 16856, 19631, 22893, 26606, 30939

Offset

6,5

Comments

With offset 12 number of partitions of n, where the difference between the number of odd parts and the number of even parts is -6.

Links

Alois P. Heinz, Table of n, a(n) for n = 6..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, -6):
seq(a(n), n=6..80);

Crossrefs

Column k=6 of A240009.

Sequence in context: A266780 A266781 A035955 * A035962 A240016 A035970

Adjacent sequences: A240012 A240013 A240014 * A240016 A240017 A240018

Keyword

nonn

Author

Alois P. Heinz, Mar 30 2014

Status

approved