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Search: id:A083101
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| 1, 12, 34, 188, 716, 3312, 13784, 60688, 259216, 1125312, 4842784, 20938688, 90305216, 389997312, 1683046784, 7266066688, 31362601216, 135385869312, 584397750784, 2522654194688, 10889285897216, 47005113741312
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OFFSET
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0,2
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COMMENT
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a(n+1)=a(n)+11*A083102(n). a(n)/A083102(n) converges to sqrt(11).
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FORMULA
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G.f.: (1+10x)/(1-2x-10x^2)
a(n)=(1/2)*[1+sqrt(11)]^n-(1/2)*sqrt(11)*[1-sqrt(11)]^n+(1/2)*[1-sqrt(11)]^n+(1/2)*[1 +sqrt(11)]^n*sqrt(11), with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Jun 10 2008
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MATHEMATICA
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CoefficientList[Series[(1+10x)/(1-2x-10x^2), {x, 0, 25}], x]
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CROSSREFS
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Sequence in context: A009760 A078194 A034510 this_sequence A133294 A082240 A088596
Adjacent sequences: A083098 A083099 A083100 this_sequence A083102 A083103 A083104
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KEYWORD
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easy,nonn,new
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AUTHOR
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Mario Catalani (mario.catalani(AT)unito.it), Apr 22 2003
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