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A241699 Number of Carlitz compositions of n with exactly nine descents. 2
55, 491, 2689, 11608, 42795, 140589, 422681, 1183166, 3121247, 7830626, 18812643, 43515886, 97340687, 211323653, 446587109, 921008294, 1857606992, 3670974168, 7119426996, 13569286673, 25448188412, 47013582854, 85641353036, 153964392218, 273387455379 (list; graph; refs; listen; history; text; internal format)
OFFSET

27,1

COMMENTS

No two adjacent parts of a Carlitz composition are equal.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 27..1000

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, 10), polynom))

    end:

a:= n-> coeff(b(n, 0), x, 9):

seq(a(n), n=27..55);

CROSSREFS

Column k=9 of A241701.

Sequence in context: A166839 A166827 A266035 * A262103 A138053 A183320

Adjacent sequences:  A241696 A241697 A241698 * A241700 A241701 A241702

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Apr 27 2014

STATUS

approved

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Last modified July 6 14:10 EDT 2022. Contains 355110 sequences. (Running on oeis4.)