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A080250
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Expansion of 1/((1-x)(1-4x)(1-10x)(1-20x)).
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1
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1, 35, 871, 19215, 402591, 8236095, 166570111, 3349906175, 67183250431, 1345516627455, 26928850135551, 538762184167935, 10777095520297471, 215560428864815615, 4311393762242888191, 86229727095755178495
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Column in number triangle A080249.
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FORMULA
| G.f. 1/((1-x)*(1-4*x)*(1-10*x)*(1-20*x))
a(n)=(1350*20^n-950*10^n+114*4^n-1)/513
a(0)=1, a(1)=35, a(2)=871, a(3)=19215, a(n) = 35*a(n-1) -354*a(n-2) +1120*a(n-3) -800*a(n-4) [From Harvey P. Dale, Apr 25 2011]
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MATHEMATICA
| CoefficientList[Series[1/((1-x)(1-4x)(1-10x)(1-20x)), {x, 0, 20}], x] (* or *) Table[(1350*20^n-950*10^n+114*4^n-1)/513, {n, 0, 20}] (* or *) LinearRecurrence[{35, -354, 1120, -800}, {1, 35, 871, 19215}, 21] (* From Harvey P. Dale, Apr 25 2011 *)
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CROSSREFS
| Cf. A080249, A016225, A000292.
Sequence in context: A001724 A062194 A004372 * A014934 A115473 A002453
Adjacent sequences: A080247 A080248 A080249 * A080251 A080252 A080253
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Feb 17 2003
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EXTENSIONS
| Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 08 2006
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