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A258476
Number of partitions of n into two sorts of parts having exactly 6 parts of the second sort.
2
1, 8, 37, 129, 376, 966, 2258, 4901, 10024, 19509, 36438, 65653, 114753, 195144, 324164, 526911, 840581, 1317461, 2033445, 3092660, 4643571, 6885877, 10099775, 14655962, 21067353, 30002794, 42376093, 59364880, 82558632, 113985165, 156352359, 213082865
OFFSET
6,2
LINKS
MAPLE
b:= proc(n, i) option remember; series(`if`(n=0, 1,
`if`(i<1, 0, add(b(n-i*j, i-1)*add(x^t*
binomial(j, t), t=0..min(6, j)), j=0..n/i))), x, 7)
end:
a:= n-> coeff(b(n$2), x, 6):
seq(a(n), n=6..40);
CROSSREFS
Column k=6 of A256193.
Sequence in context: A296537 A052387 A001780 * A320754 A053296 A055799
KEYWORD
nonn
AUTHOR
Alois P. Heinz, May 31 2015
STATUS
approved