A241700 Number of Carlitz compositions of n with exactly ten descents.

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

Alois P. Heinz, Table of n, a(n) for n = 30..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, 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

Adjacent sequences: A241697 A241698 A241699 * A241701 A241702 A241703

Keyword

nonn

Author

Alois P. Heinz, Apr 27 2014

Status

approved