A171388 Expansion of the first column of triangle T_(2,x), T_(x,y) defined in A039599; T_(2,0)= A126075, T_(2,1)= A038622, T_(2,2)= A039598, T_(2,3)= A124733, T_(2,4)= A124575.

1, 2, 0, 5, 0, 0, 12, 1, 0, 0, 30, 4, 1, 0, 0, 74, 17, 4, 1, 0, 0, 185, 56, 21, 4, 1, 0, 0, 460, 185, 74, 26, 4, 1, 0, 0

Offset

0,2

Links

Table of n, a(n) for n=0..35.

Formula

Sum_{k=0..n} T(n,k)*x^k = A054341(n), A005773(n+1), A000108(n+1), A007317(n), A033543(n) for x = 0, 1, 2, 3, 4 respectively.

Example

Triangle begins:
   1;
   2,  0;
   5,  0, 0;
  12,  1, 0, 0;
  30,  4, 1, 0, 0;
  74, 17, 4, 1, 0, 0;
  ...

Crossrefs

Cf. A000108, A171368, A171380.

Sequence in context: A352563 A145962 A066442 * A086134 A071090 A105221

Adjacent sequences: A171385 A171386 A171387 * A171389 A171390 A171391

Keyword

nonn,tabl,more

Author

Philippe Deléham, Dec 07 2009

Status

approved