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Search: id:A099167
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A099167 G.f.: (1+x^2)/((1-3x)(1-x-x^2)); a(n)=4a(n-1)-2a(n-2)-3a(n-3); a(n)=2*3^n-Fib(n+2); a(n)=sum{k=0..n, (L(k)-0^k)3^(n-k)}. +0
2
1, 4, 15, 49, 154, 473, 1437, 4340, 13067, 39277, 117954, 354061, 1062505, 3188036, 9564951, 28696217, 86090858, 258276145, 774834213, 2324511988, 6973551091, 20920677749, 62762072850, 188286282629, 564858951569, 1694577022468 (list; graph; listen)
OFFSET

0,2

COMMENT

A Lucas convolution.

CROSSREFS

Cf. A000032, A000045.

Adjacent sequences: A099164 A099165 A099166 this_sequence A099168 A099169 A099170

Sequence in context: A100506 A093967 A052201 this_sequence A056337 A053406 A143215

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Oct 01 2004

page 1

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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