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A028574
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Expansion of 1/((1-16*x)^2*(1 - 14*x + 56*x^2 - 64*x^3)).
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2
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1, 46, 1356, 32856, 714672, 14543712, 283133632, 5342645632, 98527058688, 1785505986048, 31916125744128, 564249389488128, 9885635491508224, 171893957900591104, 2969895694579974144, 51031902826852614144, 872728343238158254080
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OFFSET
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0,2
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COMMENTS
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The original o.g.f. was transferred to sequence A308436.
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 0..820
Index entries for linear recurrences with constant coefficients, signature (46,-760,5440,-16384,16384).
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FORMULA
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From G. C. Greubel, May 28 2019: (Start)
a(n) = 2^n*(3 - 49*2^(n+1) + 147*2^(2*n+3) + (21*n -10)*2^(3*n+6))/441.
E.g.f.: (3 - 98*exp(2*x) + 1176*exp(6*x) + 128*(-5 + 168*x)*exp(14*x) )*exp(2*x)/441. (End)
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MATHEMATICA
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CoefficientList[Series[1/((1-16*x)^2*(1-14*x+56*x^2-64*x^3)), {x, 0, 20}], x] (* G. C. Greubel, May 28 2019 *)
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PROG
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(PARI) my(x='x+O('x^20)); Vec(1/((1-16*x)^2*(1-14*x+56*x^2-64*x^3))) \\ G. C. Greubel, May 28 2019
(Magma) R<x>:=PowerSeriesRing(Integers(), 20); Coefficients(R!( 1/((1-16*x)^2*(1-14*x+56*x^2-64*x^3)) )); // G. C. Greubel, May 28 2019
(Sage) (1/((1-16*x)^2*(1-14*x+56*x^2-64*x^3))).series(x, 20).coefficients(x, sparse=False) # G. C. Greubel, May 28 2019
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CROSSREFS
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Cf. A308436.
Sequence in context: A188412 A066403 A286788 * A302767 A078195 A103725
Adjacent sequences: A028571 A028572 A028573 * A028575 A028576 A028577
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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Original name and explicit formula of Yahia Kahloune moved to A308436.
G.f. corrected by Georg Fischer, May 27 2019
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STATUS
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approved
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