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A241700
Number of Carlitz compositions of n with exactly ten descents.
2
89, 874, 5176, 23882, 93525, 324959, 1029660, 3029025, 8377958, 21992465, 55185174, 133116640, 310082552, 700123670, 1536990597, 3289297465, 6877652389, 14077255217, 28252887221, 55681517610, 107900601488, 205825555915, 386884938126, 717249234951
OFFSET
30,1
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, 11), polynom))
end:
a:= n-> coeff(b(n, 0), x, 10):
seq(a(n), n=30..55);
CROSSREFS
Column k=10 of A241701.
Sequence in context: A239719 A290314 A103548 * A097155 A197348 A289852
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Apr 27 2014
STATUS
approved