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A240016
Number of partitions of n, where the difference between the number of odd parts and the number of even parts is 7.
2
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
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
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 30 2014
STATUS
approved