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A053111
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Expansion of (-1 + 1/(1-8*x)^8)/(64*x); related to A053107.
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1
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1, 36, 960, 21120, 405504, 7028736, 112459776, 1686896640, 23991418880, 326283296768, 4271344975872, 54103703027712, 665891729571840, 7990700754862080, 93757555523715072, 1078211888522723328, 12177451917433110528, 135305021304812339200, 1481233917442156134400
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = 8^(n-1)*binomial(n+8, 7).
G.f.: (-1 + (1-8*x)^(-8))/(x*8^2).
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MATHEMATICA
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Table[8^(n - 1)*Binomial[n + 8, 7], {n, 0, 30}] (* G. C. Greubel, Aug 16 2018 *)
CoefficientList[Series[(-1+1/(1-8x)^8)/(64x), {x, 0, 20}], x] (* Harvey P. Dale, Jun 20 2021 *)
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PROG
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(PARI) vector(30, n, n--; 8^(n-1)*binomial(n+8, 7)) \\ G. C. Greubel, Aug 16 2018
(Magma) [8^(n-1)*Binomial(n+8, 7): n in [0..30]]; // G. C. Greubel, Aug 16 2018
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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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