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A083100 a(n)=2a(n-1)+7a(n-2). +0
15
1, 9, 25, 113, 401, 1593, 5993, 23137, 88225, 338409, 1294393, 4957649, 18976049, 72655641, 278143625, 1064876737, 4076758849, 15607654857, 59752621657, 228758827313, 875786006225, 3352883803641, 12836269650857, 49142725927201 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n)=a(n-1)+8*A015519(n). a(n)/A015519(n+1) converges to sqrt(8).

FORMULA

G.f.: (1+7x)/(1-2x-7x^2)

MATHEMATICA

CoefficientList[Series[(1 + 7 x)/(1 - 2 x - 7 x^2), {x, 0, 25}], x]

CROSSREFS

Essentially a duplicate of A084058.

The following sequences (and others) belong to the same family: A001333, A000129, A026150, A002605, A046717, A015518, A084057, A063727, A002533, A002532, A083098, A083099, A083100, A015519.

Adjacent sequences: A083097 A083098 A083099 this_sequence A083101 A083102 A083103

Sequence in context: A075067 A075064 A083672 this_sequence A084058 A108570 A092769

KEYWORD

easy,nonn

AUTHOR

Mario Catalani (mario.catalani(AT)unito.it), Apr 23 2003

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Last modified May 22 15:55 EDT 2008. Contains 140006 sequences.


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