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Search: id:A083100
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| 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)
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OFFSET
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0,2
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COMMENT
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a(n)=a(n-1)+8*A015519(n). a(n)/A015519(n+1) converges to sqrt(8).
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FORMULA
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G.f.: (1+7x)/(1-2x-7x^2)
a(n)=(1/2)*[1-2*sqrt(2)]^n+sqrt(2)*[1+2*sqrt(2)]^n-[1-2*sqrt(2)]^n*sqrt(2)+(1/2)*[1+2 *sqrt(2)]^n, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 10 2008
a(n)=binomial transform of 1,8,8,64,64,512 [From Al Hakanson (hawkuu(AT)gmail.com), Aug 17 2009]
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MATHEMATICA
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CoefficientList[Series[(1 + 7 x)/(1 - 2 x - 7 x^2), {x, 0, 25}], x]
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CROSSREFS
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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.
Sequence in context: A147475 A146674 A083672 this_sequence A084058 A108570 A092769
Adjacent sequences: A083097 A083098 A083099 this_sequence A083101 A083102 A083103
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KEYWORD
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easy,nonn
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Apr 23 2003
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