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A049654
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a(n) = (F(8*n+1) - 1)/3 where F=A000045 (the Fibonacci sequence).
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1
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0, 11, 532, 25008, 1174859, 55193380, 2592914016, 121811765387, 5722560059188, 268838511016464, 12629687457714635, 593326472001571396, 27873714496616140992, 1309471254868957055243, 61517275264344365455444
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: -x*(11+4*x) / ( (x-1)*(x^2-47*x+1) ).
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MATHEMATICA
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LinearRecurrence[{48, -48, 1}, {0, 11, 532}, 50] (* or *) Table[( Fibonacci[8*n+1]-1)/3, {n, 0, 30}] (* G. C. Greubel, Dec 02 2017 *)
CoefficientList[Series[-x(11+4x)/((x-1)(x^2-47*x+1)), {x, 0, 14}], x] (* Stefano Spezia, Feb 18 2024 *)
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PROG
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(PARI) for(n=0, 30, print1((fibonacci(8*n+1) - 1)/3, ", ")) \\ G. C. Greubel, Dec 02 2017
(Magma) [(Fibonacci(8*n+1) - 1)/3: n in [0..30]]; // G. C. Greubel, Dec 02 2017
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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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