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A144900 Expansion of x/((1-x-x^3)*(1-x)^6). 3
0, 1, 7, 28, 85, 218, 498, 1045, 2055, 3840, 6887, 11945, 20153, 33228, 53741, 85522, 134254, 208344, 320200, 488103, 738951, 1112281, 1666164, 2485845, 3696406, 5481325, 8109676, 11975993, 17658694, 26005706, 38259955, 56243281, 82625979, 121321831, 178067054 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (7, -21, 36, -41, 36, -27, 16, -6, 1).

FORMULA

G.f.: x/((1-x-x^3)*(1-x)^6).

MAPLE

a:= n-> (Matrix(9, (i, j)-> if i=j-1 then 1 elif j=1 then [7, -21, 36, -41, 36, -27, 16, -6, 1][i] else 0 fi)^n)[1, 2]: seq(a(n), n=0..40);

MATHEMATICA

CoefficientList[Series[x / ((1 - x - x^3) (1 - x)^6), {x, 0, 40}], x] (* Vincenzo Librandi, Jun 06 2013 *)

LinearRecurrence[{7, -21, 36, -41, 36, -27, 16, -6, 1}, {0, 1, 7, 28, 85, 218, 498, 1045, 2055}, 40] (* Harvey P. Dale, Mar 02 2016 *)

CROSSREFS

7th column of A144903.

Sequence in context: A145456 A145135 A221141 * A054469 A156928 A117473

Adjacent sequences:  A144897 A144898 A144899 * A144901 A144902 A144903

KEYWORD

nonn,easy

AUTHOR

Alois P. Heinz, Sep 24 2008

STATUS

approved

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Last modified June 22 14:22 EDT 2021. Contains 345380 sequences. (Running on oeis4.)