A241698 Number of Carlitz compositions of n with exactly eight descents.

34, 273, 1374, 5523, 19085, 59043, 167822, 445485, 1117320, 2671007, 6126303, 13552203, 29036088, 60461206, 122706950, 243312768, 472343731, 899329583, 1681962056, 3094108766, 5605224314, 10010276920, 17640174861, 30699341690, 52802429497, 89820432080

Offset

24,1

Comments

No two adjacent parts of a Carlitz composition are equal.

Links

Alois P. Heinz, Table of n, a(n) for n = 24..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, 9), polynom))
    end:
a:= n-> coeff(b(n, 0), x, 8):
seq(a(n), n=24..50);

Crossrefs

Column k=8 of A241701.

Sequence in context: A371403 A081219 A254700 * A159776 A295917 A219927

Adjacent sequences: A241695 A241696 A241697 * A241699 A241700 A241701

Keyword

nonn

Author

Alois P. Heinz, Apr 27 2014

Status

approved