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A240015
Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 6.
2
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
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
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 30 2014
STATUS
approved