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A084851
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Binomial transform of binomial(n+2,2).
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3
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1, 4, 13, 38, 104, 272, 688, 1696, 4096, 9728, 22784, 52736, 120832, 274432, 618496, 1384448, 3080192, 6815744, 15007744, 32899072, 71827456, 156237824, 338690048, 731906048, 1577058304, 3388997632, 7264534528, 15535702016, 33151778816
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| First differences give A058396.
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FORMULA
| G.f.: (1 - x)^2/(1 - 2x)^3; a(n)=(n^2+7n+8)2^(n - 3); a(n)=sum{k=0..n, C(n, k)C(k+2, 2) }.
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MATHEMATICA
| CoefficientList[ Series[(1 - x)^2/(1 - 2x)^3, {x, 0, 28}], x] (from Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 28 2005)
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CROSSREFS
| Cf. A049611.
Sequence in context: A089092 A181527 A049611 * A094706 A056014 A159036
Adjacent sequences: A084848 A084849 A084850 * A084852 A084853 A084854
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jun 09 2003
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