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A099928 Row sums of Pellonomial triangle A099927. 2
1, 2, 4, 12, 56, 408, 4608, 80784, 2201536, 93224736, 6134017792, 627029574336, 99602689462784, 24580813373119872, 9426621978735869952, 5616371724370667073792, 5199854362208758062125056, 7479400854548558531507839488, 16717751433807850998823619411968 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..70

S. Falcon, On The Generating Functions of the Powers of the K-Fibonacci Numbers, Scholars Journal of Engineering and Technology (SJET), 2014; 2 (4C):669-675.

MAPLE

p:= proc(n) p(n):= `if`(n<2, n, 2*p(n-1)+p(n-2)) end:

f:= proc(n) f(n):= `if`(n=0, 1, p(n)*f(n-1)) end:

a:= n-> add(f(n)/(f(k)*f(n-k)), k=0..n):

seq(a(n), n=0..20);  # Alois P. Heinz, Aug 15 2013

CROSSREFS

Sequence in context: A227037 A158569 A020106 * A000568 A177921 A301481

Adjacent sequences:  A099925 A099926 A099927 * A099929 A099930 A099931

KEYWORD

nonn

AUTHOR

Ralf Stephan, Nov 03 2004

STATUS

approved

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Last modified April 18 10:38 EDT 2019. Contains 322209 sequences. (Running on oeis4.)