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Search: id:A116415
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| 1, 5, 22, 95, 409, 1760, 7573, 32585, 140206, 603275, 2595757, 11168960, 48057529, 206780765, 889731238, 3828313895, 16472375761, 70876937120, 304967558317, 1312206980225, 5646132226174, 24294040190195, 104531804272453
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OFFSET
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0,2
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COMMENT
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Row sums of A116414.
Binomial transform of the sequence A006190 - Sergio Falcon (sfalcon(AT)dma.ulpgc.es), Nov 23 2007
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REFERENCES
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Sergio Falcon and Angel Plaza: "On k-Fibonacci sequences and polynomials and their derivatives". doi:10.1016/j.chaos.2007.03.2007
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FORMULA
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G.f.: 1/(1-5x+3x^2) a(n)=sum{k=0..n, sum{j=0..n, C(n-j,k)C(k+j,j)3^j}}.
a(n)=(1/sqrt(13))*(((5+sqrt(13))/2)^n-((5-sqrt(13))/2)^n) - Sergio Falcon (sfalcon(AT)dma.ulpgc.es), Nov 23 2007
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CROSSREFS
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Cf. A001906, A007070, A084326.
Sequence in context: A053154 A141222 A127360 this_sequence A026861 A026888 A083586
Adjacent sequences: A116412 A116413 A116414 this_sequence A116416 A116417 A116418
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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), Feb 13 2006
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