A130167 Another version of triangle in A127743.

1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 6, 5, 3, 1, 0, 22, 16, 9, 4, 1, 0, 92, 60, 31, 14, 5, 1, 0, 426, 252, 120, 52, 20, 6, 1, 0, 2146, 1160, 510, 209, 80, 27, 7, 1, 0, 11624, 5776, 2348, 904, 335, 116, 35, 8, 1, 0, 67146, 30832, 11610, 4184, 1481, 507, 161, 44, 9, 1

Offset

0,8

Comments

Triangle T(n,k), 0 <= k <= n, read by rows given by [0,1,1,2,1,3,1,4,1,5,1,6,1,...] DELTA [1,0,0,0,0,0,0,...] where DELTA is the operator defined in A084938.

Modulo 2, this sequence gives A106344. - Philippe Deléham, Dec 18 2008

A154380*A130595 as infinite lower triangular matrices. - Philippe Deléham, Jan 13 2009

Links

Table of n, a(n) for n=0..65.

Formula

Sum_{k=0..n} T(n,k) = A000110(n).

Example

Triangle begins:
  1;
  0,  1;
  0,  1,  1;
  0,  2,  2,  1;
  0,  6,  5,  3,  1;
  0, 22, 16,  9,  4,  1;
  0, 92, 60, 31, 14,  5,  1; ...

Crossrefs

Cf. A074664.

Sequence in context: A110314 A370890 A152882 * A084938 A135898 A131182

Adjacent sequences: A130164 A130165 A130166 * A130168 A130169 A130170

Keyword

nonn,tabl

Author

Philippe Deléham, Aug 03 2007

Status

approved