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A165203
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Expansion of (1+x)*c(x)^3/(1-x*c(x)^3), c(x) the g.f. of A000108.
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1
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1, 5, 20, 81, 332, 1372, 5702, 23793, 99576, 417664, 1754866, 7383204, 31096466, 131084954, 552969854, 2334012425, 9856336324, 41639407776, 175971686398, 743888534968, 3145439344550, 13302946909338, 56272308538682
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Hankel transform is A165204.
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FORMULA
| G.f.: (1+x)*((1-x)*sqrt(1-4*x)+5*x-1)/(2*(1-4*x-x^2)).
a(n) = (A165201(n)-0^n)+A165201(n+1).
Conjecture: (n+1)*(5n-31)*a(n) +(5n^2+74n+62)*a(n-1) +(-285n^2+1072n-757)*a(n-2) +(695n^2-3674n+4206)*a(n-3) +2*(45n-74)(2n-7)*a(n-4)=0. - R. J. Mathar, Dec 11 2011
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CROSSREFS
| Sequence in context: A003947 A033131 A022021 * A030520 A183933 A056884
Adjacent sequences: A165200 A165201 A165202 * A165204 A165205 A165206
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Sep 07 2009
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