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A053111 Expansion of (-1 + 1/(1-8*x)^8)/(64*x); related to A053107. 1
1, 36, 960, 21120, 405504, 7028736, 112459776, 1686896640, 23991418880, 326283296768, 4271344975872, 54103703027712, 665891729571840, 7990700754862080, 93757555523715072, 1078211888522723328, 12177451917433110528, 135305021304812339200, 1481233917442156134400 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..400

Index entries for linear recurrences with constant coefficients, signature (64,-1792,28672,-286720,1835008,-7340032,16777216,-16777216).

FORMULA

a(n) = 8^(n-1)*binomial(n+8, 7).

G.f.: (-1 + (1-8*x)^(-8))/(x*8^2).

MATHEMATICA

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 *)

PROG

(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

CROSSREFS

Cf. A053107, A053110, A053112, A053113.

Sequence in context: A167250 A218177 A107398 * A260855 A130563 A240685

Adjacent sequences:  A053108 A053109 A053110 * A053112 A053113 A053114

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang

STATUS

approved

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Last modified May 16 16:06 EDT 2022. Contains 353706 sequences. (Running on oeis4.)