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A243082
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Number of compositions of n into parts with multiplicity not larger than 4.
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4
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1, 1, 2, 4, 8, 15, 31, 57, 114, 213, 410, 766, 1437, 2659, 4888, 9130, 16406, 29477, 54084, 96353, 170015, 303356, 536877, 932679, 1637383, 2831910, 4919306, 8395627, 14550779, 24673403, 41942730, 70587716, 120128827, 201556909, 336844168, 558644630, 932732821
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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 11111.
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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, 4))))
end:
a:= n-> b(n$2, 0):
seq(a(n), n=0..50);
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CROSSREFS
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Column k=4 of A243081.
Sequence in context: A052325 A302774 A300520 * A092603 A298533 A259805
Adjacent sequences: A243079 A243080 A243081 * A243083 A243084 A243085
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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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