A110125 Row sums of a scaled Legendre triangle.

1, 1, 1, 9, 43, 213, 1507, 12537, 114325, 1144221, 12512373, 148351881, 1892798733, 25816700309, 374406371121, 5748436717505, 93098093268755, 1585364420710205, 28305454044441843, 528500175862180033, 10295596472841577779

Offset

0,4

Comments

Row sums of A110124.

Links

Robert Israel, Table of n, a(n) for n = 0..478

Formula

a(n)=sum{k=0..n, 2^(n-k)*LegendreP(n-k, k)}.

Maple

f := n -> add(2^(n-k)*orthopoly[P](n-k, k), k=0..n):
map(f, [$0..30]); # Robert Israel, Jun 17 2019

Prog

(PARI) a(n)=sum(k=0, n, pollegendre(n-k, k)<<(n-k)) \\ Charles R Greathouse IV, Mar 19 2017

Crossrefs

Sequence in context: A330088 A281773 A220676 * A221751 A275793 A223647

Adjacent sequences: A110122 A110123 A110124 * A110126 A110127 A110128

Keyword

easy,nonn

Author

Paul Barry, Jul 13 2005

Status

approved