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A014336
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Three-fold exponential convolution of Fibonacci numbers with themselves.
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2
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0, 0, 0, 6, 36, 210, 1080, 5460, 26964, 132294, 645480, 3142590, 15277680, 74222616, 360445176, 1750067430, 8496115740, 41243946330, 200209950504, 971859585804, 4717557894060, 22899644483430, 111157568501760
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OFFSET
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0,4
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LINKS
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FORMULA
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(1/5)(3^n*Fibonacci(n) - 3*Fibonacci(2n)). - Ralf Stephan, May 14 2004
G.f.: -6*x^3 / ( (x^2-3*x+1)*(9*x^2+3*x-1) ).
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MAPLE
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with(combinat):A014336:=proc(n)return (1/5)*(3^n*fibonacci(n)-3*fibonacci(2*n)):end:
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PROG
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(Magma) [(1/5)*(3^n*Fibonacci(n) - 3*Fibonacci(2*n)): n in [0..30]]; // Vincenzo Librandi, Apr 18 2011
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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