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A241695
Number of Carlitz compositions of n with exactly five descents.
2
8, 43, 159, 497, 1365, 3412, 7959, 17529, 36820, 74341, 145037, 274632, 506546, 912668, 1610174, 2787338, 4742439, 7942378, 13109810, 21351242, 34344574, 54611144, 85907033, 133783286, 206382165, 315561476, 478474684, 719778651, 1074701635, 1593288000
OFFSET
15,1
COMMENTS
No two adjacent parts of a Carlitz composition are equal.
LINKS
MAPLE
b:= proc(n, i) option remember; `if`(n=0, 1,
convert(series(add(`if`(i=j, 0, b(n-j, j)*
`if`(j<i, x, 1)), j=1..n), x, 6), polynom))
end:
a:= n-> coeff(b(n, 0), x, 5):
seq(a(n), n=15..50);
CROSSREFS
Column k=5 of A241701.
Sequence in context: A052666 A065789 A025064 * A224037 A245136 A362904
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Apr 27 2014
STATUS
approved