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Search: id:A093967
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| 0, 1, 4, 15, 48, 145, 420, 1183, 3264, 8865, 23780, 63151, 166320, 434993, 1130948, 2925375, 7533312, 19323713, 49395780, 125877071, 319888560, 810893265, 2050891876, 5176349663, 13040153280, 32793453025, 82337215012, 206424991215
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Binomial transform of A093968.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,1000
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FORMULA
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G.f.: x(1+x^2)/(1-2x-x^2)^2; a(n)=n((1+sqrt(2))^n-(1-sqrt(2))^n)/(2sqrt(2)); a(n)=n*A000129(n).
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MAPLE
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seq(fibonacci(n, 2)*n, n=0..27); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 05 2008
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PROGRAM
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(PARI) { default(realprecision, 800); s=sqrt(2); for (n=0, 1000, a=n*round(((1+s)^n-(1-s)^n)/(2*s)); write("b093967.txt", n, " ", a); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jun 17 2009]
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CROSSREFS
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Cf. A006645, A093835, A023607.
Sequence in context: A152116 A111038 A100506 this_sequence A052201 A099167 A056337
Adjacent sequences: A093964 A093965 A093966 this_sequence A093968 A093969 A093970
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Apr 21 2004
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