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A241697 Number of Carlitz compositions of n with exactly seven descents. 2
21, 150, 688, 2561, 8253, 23930, 64030, 160539, 381379, 865676, 1889308, 3984311, 8151834, 16234161, 31554397, 59999259, 111824744, 204629354, 368190175, 652238928, 1138836325, 1961870558, 3337496363, 5611246209, 9330350788, 15353900381, 25019429935 (list; graph; refs; listen; history; text; internal format)
OFFSET

21,1

COMMENTS

No two adjacent parts of a Carlitz composition are equal.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 21..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, 8), polynom))

    end:

a:= n-> coeff(b(n, 0), x, 7):

seq(a(n), n=21..50);

CROSSREFS

Column k=7 of A241701.

Sequence in context: A253459 A041850 A239123 * A239569 A219599 A221694

Adjacent sequences:  A241694 A241695 A241696 * A241698 A241699 A241700

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Apr 27 2014

STATUS

approved

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Last modified November 21 01:33 EST 2019. Contains 329349 sequences. (Running on oeis4.)