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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; internal format)
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OFFSET
| 0,2
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REFERENCES
| A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
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FORMULA
| a(n)={(2^(2n+7))-[9*(n^2)+51n+74]}/54.
a(n)=sum{k=0..n, binomial(n+3, k+3)3^k} - Paul Barry (pbarry(AT)wit.ie), Aug 20 2004
G.f.: 1/((1-x)^3*(1-4*x)). [Colin Barker, Jan 12 2012]
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EXAMPLE
| a(n)=4a(n-1)+C(n+2,2); a(0)=1.
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CROSSREFS
| Cf. A014825, A002450, A000302.
Sequence in context: A005023 A094891 A192803 * A080960 A099242 A032206
Adjacent sequences: A052158 A052159 A052160 * A052162 A052163 A052164
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KEYWORD
| easy,nonn
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AUTHOR
| Barry E. Williams, Jan 25 2000
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