A099166 - OEIS

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A099166

G.f.: (1+x^2)/((1-2x)(1-x-x^2)); a(n)=3a(n-1)-a(n-2)-2a(n-3); a(n)=5*2^n-L(n+3); a(n)=sum{k=0..n, (L(k)-0^k)2^(n-k)}.

0

1, 3, 9, 22, 51, 113, 244, 517, 1081, 2238, 4599, 9397, 19116, 38753, 78349, 158062, 318331, 640233, 1286244, 2581837, 5178801, 10382078, 20803759, 41671597, 83446876, 167061513, 334394469, 669228142, 1339166931, 2679483713

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

A Lucas convolution.

LINKS

Table of n, a(n) for n=0..29.

Index entries for linear recurrences with constant coefficients, signature (3,-1,-2).

CROSSREFS

Cf. A000032, A099167.

Sequence in context: A227454 A000716 A001628 * A222083 A305612 A202882

Adjacent sequences: A099163 A099164 A099165 * A099167 A099168 A099169

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Oct 01 2004

STATUS

approved