A167750 Row sums of triangle A167749.

1, 1, 2, 4, 9, 20, 45, 102, 231, 524, 1189, 2699, 6127, 13910, 31581, 71702, 162796, 369622, 839216, 1905419, 4326211, 9822571, 22301948, 50636130, 114968339, 261033373, 592671205, 1345648489, 3055268857, 6936928864, 15750162908

Offset

0,3

Comments

Hankel transform is A167752.

Links

Table of n, a(n) for n=0..30.

Formula

G.f.: 1/(1-x/(1-x/(1-x^2/(1-x^3/(1-x^4/(1-...)))))) (continued fraction);

G.f.: 1/(1-x*f(x)), f(x) the g.f. of A005169.

Example

G.f. = 1 + x + 2*x^2 + 4*x^3 + 9*x^4 + 20*x^5 + 45*x^6 + 102*x^7 + ...

Crossrefs

Sequence in context: A080135 A227978 A206741 * A343756 A329276 A308435

Adjacent sequences: A167747 A167748 A167749 * A167751 A167752 A167753

Keyword

easy,nonn

Author

Paul Barry, Nov 10 2009

Status

approved