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Search: id:A106517
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| A106517 |
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Convolution of Fib(n-1) and 3^n. |
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+0
3
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| 1, 3, 10, 31, 95, 288, 869, 2615, 7858, 23595, 70819, 212512, 637625, 1913019, 5739290, 17218247, 51655351, 154967040, 464902717, 1394710735, 4184136386, 12552415923, 37657258715, 112971793856, 338915410225, 1016746277043
(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) = A101220(2,3,n+1). - Ross La Haye (rlahaye(AT)new.rr.com), Jul 25 2005
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FORMULA
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G.f.: (1-x)/((1-x-x^2)(1-3x)); a(n)=sum{k=0..n, Fib(n-k-1)3^k}.
a(n) = A101220(3,3,n+1) - A101220(3,3,n). - Ross La Haye (rlahaye(AT)new.rr.com), May 31 2006
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CROSSREFS
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Diagonal sums of number triangle A106516.
Sequence in context: A004663 A136853 A033121 this_sequence A055217 A097472 A068094
Adjacent sequences: A106514 A106515 A106516 this_sequence A106518 A106519 A106520
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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), May 05 2005
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