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A110125 Row sums of a scaled Legendre triangle. 2
1, 1, 1, 9, 43, 213, 1507, 12537, 114325, 1144221, 12512373, 148351881, 1892798733, 25816700309, 374406371121, 5748436717505, 93098093268755, 1585364420710205, 28305454044441843, 528500175862180033, 10295596472841577779 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 15 00:26 EDT 2020. Contains 336484 sequences. (Running on oeis4.)