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A243086
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Number of compositions of n into parts with multiplicity not larger than 8.
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4
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1, 1, 2, 4, 8, 16, 32, 64, 128, 255, 511, 1013, 2026, 4007, 7969, 15728, 31081, 61127, 120063, 234991, 458813, 892999, 1733063, 3352924, 6466805, 12432745, 23825009, 45552282, 86701276, 164516870, 311753791, 587855120, 1104493663, 2072926133, 3874661542
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OFFSET
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0,3
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COMMENTS
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Number of compositions of n avoiding the pattern {1}^9.
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LINKS
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Alois P. Heinz, Table of n, a(n) for n = 0..1000
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MAPLE
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b:= proc(n, i, p) option remember; `if`(n=0, p!, `if`(i<1, 0,
add(b(n-i*j, i-1, p+j)/j!, j=0..min(n/i, 8))))
end:
a:= n-> b(n$2, 0):
seq(a(n), n=0..50);
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CROSSREFS
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Column k=8 of A243081.
Sequence in context: A194631 A251746 A251760 * A087079 A252757 A230579
Adjacent sequences: A243083 A243084 A243085 * A243087 A243088 A243089
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KEYWORD
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nonn
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AUTHOR
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Alois P. Heinz, May 29 2014
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STATUS
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approved
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