A171380 Expansion of the first column of triangle T_(1,x), T(x,y) defined in A039599; T_(1,0)= A061554, T_(1,1)= A064189, T_(1,2)= A039599, T_(1,3)= A110877, T_(1,4)= A124576.

1, 1, 0, 2, 0, 0, 3, 1, 0, 0, 6, 2, 1, 0, 0, 10, 8, 2, 1, 0, 0, 20, 16, 12, 2, 1, 0, 0, 35, 47, 25, 17, 2, 1, 0, 0, 70, 94, 97, 36, 23, 2, 1, 0, 0, 126, 244, 204, 179, 49, 30, 2, 1, 0, 0

Offset

0,4

Comments

Diagonal sums: A089324.

Equal to A092107*B^(-1) = A092107*A130595 as lower triangular arrays. - Philippe Deléham, Dec 10 2009

Links

Table of n, a(n) for n=0..54.

Formula

Sum_{k=0..n} T(n,k)*x^k = A001405(n), A001006(n), A000108(n), A033321(n) for x = 0, 1, 2, 3 respectively.

Example

Triangle begins:
   1;
   1, 0;
   2, 0, 0;
   3, 1, 0, 0;
   6, 2, 1, 0, 0;
  10, 8, 2, 1, 0, 0;
  ...

Crossrefs

Cf. A000108, A001006, A001405, A033321, A089324.

Sequence in context: A238343 A238128 A238121 * A323592 A170980 A330369

Adjacent sequences: A171377 A171378 A171379 * A171381 A171382 A171383

Keyword

nonn,tabl

Author

Philippe Deléham, Dec 07 2009

Status

approved