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A243126
Number of compositions of n in which the maximal multiplicity of parts equals 9.
2
1, 0, 10, 10, 65, 120, 395, 890, 2320, 5401, 12857, 29435, 66955, 149455, 330042, 719882, 1554760, 3326365, 7009606, 14772370, 30835912, 63443345, 130298990, 266321547, 538824877, 1082905293, 2168501310, 4319287751, 8538816117, 16795672263, 32926171923
OFFSET
9,3
LINKS
FORMULA
a(n) = A243087(n) - A243086(n) = A243081(n,9) - A243081(n,8).
MAPLE
b:= proc(n, i, p, k) option remember; `if`(n=0, p!, `if`(i<1, 0,
add(b(n-i*j, i-1, p+j, k)/j!, j=0..min(n/i, k))))
end:
a:= n-> b(n$2, 0, 9) -b(n$2, 0, 8):
seq(a(n), n=9..50);
CROSSREFS
Column k=9 of A242447.
Sequence in context: A056483 A056473 A241869 * A377189 A269921 A219797
KEYWORD
nonn
AUTHOR
Alois P. Heinz, May 29 2014
STATUS
approved