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A077821
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Expansion of (1-x)^(-1)/(1-3*x-3*x^2-3*x^3).
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0
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1, 4, 16, 64, 253, 1000, 3952, 15616, 61705, 243820, 963424, 3806848, 15042277, 59437648, 234860320, 928020736, 3666956113, 14489511508, 57253465072, 226229798080, 893918323981, 3532204761400, 13957058650384, 55149545207296, 217916425857241, 861069089144764
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..25.
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FORMULA
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a(0)=1, a(1)=4, a(2)=16, a(3)=64, a(n)=4*a(n-1)-3*a(n-4) [From Harvey P. Dale, May 10 2011]
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MATHEMATICA
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LinearRecurrence[{4, 0, 0, -3}, {1, 4, 16, 64}, 40] (* or *) CoefficientList[ Series[(1-x)^(-1)/(1-3x-3x^2-3x^3), {x, 0, 40}], x] (* From Harvey P. Dale, May 10 2011 *)
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CROSSREFS
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Sequence in context: A006811 A188714 A005755 * A215877 A206450 A000302
Adjacent sequences: A077818 A077819 A077820 * A077822 A077823 A077824
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Nov 17 2002
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STATUS
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approved
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