

A099213


a(n) = a(n1)+a(n2)+3a(n3), with a(0)=a(1)=a(2)=1.


3



1, 1, 1, 5, 9, 17, 41, 85, 177, 385, 817, 1733, 3705, 7889, 16793, 35797, 76257, 162433, 346081, 737285, 1570665, 3346193, 7128713, 15186901, 32354193, 68927233, 146842129, 312831941, 666455769, 1419814097, 3024765689, 6443947093
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OFFSET

0,4


COMMENTS

Binomial transform is A099214. Binomial transform of A099212.


LINKS

Table of n, a(n) for n=0..31.


FORMULA

G.f.: (1x^2)/(1xx^23x^2).


PROG

(Sage) from sage.combinat.sloane_functions import recur_gen3; it = recur_gen3(1, 1, 1, 1, 1, 3); [next(it) for i in range(32)] # Zerinvary Lajos, Jun 25 2008


CROSSREFS

cf. A099212, A099214.
Sequence in context: A147401 A062536 A324718 * A146067 A336139 A295627
Adjacent sequences: A099210 A099211 A099212 * A099214 A099215 A099216


KEYWORD

easy,nonn


AUTHOR

Paul Barry, Oct 06 2004


STATUS

approved



