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1, 7, 34, 146, 599, 2417, 9696, 38820, 155325, 621355, 2485486, 9942022, 39768179, 159072821, 636291404, 2545165752, 10180663161, 40722652815, 162890611450, 651562446010
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,2
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REFERENCES
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A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
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LINKS
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FORMULA
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a(n) = ((2^(2n+7)) - (9*(n^2) + 51n + 74))/54.
a(n) = 4a(n-1) + C(n+2,2); a(0)=1.
a(n) = Sum_{k=0..n, binomial(n+3, k+3)3^k}. - Paul Barry, Aug 20 2004
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MATHEMATICA
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CoefficientList[Series[1/((1-x)^3*(1-4*x)), {x, 0, 25}], x] (* Vincenzo Librandi, Apr 28 2012 *)
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PROG
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(Magma) [((2^(2*n+7))-(9*(n^2)+51*n+74))/54: n in [0..25]]; // Vincenzo Librandi, Apr 28 2012
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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