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

1, 0, 1, 1, 2, 2, 4, 4, 7, 8, 12, 14, 21, 24, 34, 41, 54, 66, 86, 105, 133, 164, 203, 250, 308, 376, 458, 560, 675, 821, 986, 1192, 1423, 1716, 2037, 2445, 2894, 3455, 4076, 4849, 5700, 6752, 7921, 9342, 10930, 12850, 14994, 17566, 20456, 23884, 27752, 32311

Offset

7,5

Comments

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.

Links

Alois P. Heinz, Table of n, a(n) for n = 7..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, -7):
seq(a(n), n=7..80);

Crossrefs

Column k=7 of A240009.

Sequence in context: A035955 A240015 A035962 * A035970 A240017 A035979

Adjacent sequences: A240013 A240014 A240015 * A240017 A240018 A240019

Keyword

nonn

Author

Alois P. Heinz, Mar 30 2014

Status

approved