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A028213

Expansion of 1/((1-6x)(1-8x)(1-10x)(1-11x)).

1, 35, 773, 13783, 216909, 3146703, 43129381, 567128471, 7227535997, 89900761951, 1097000610069, 13181200344039, 156403487677165, 1836701044549679, 21383695384607237, 247159815109688887

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OFFSET

0,2

LINKS

Table of n, a(n) for n=0..15.

Index entries for linear recurrences with constant coefficients, signature (35,-452,2548,-5280).

FORMULA

From Vincenzo Librandi, Mar 14 2011: (Start)

a(n) = 21*a(n-1) - 110*a(n-2) + 2^n*(4^(n+1) - 3^(n+1)), n >= 2.

a(n) = 35*a(n-1) - 452*a(n-2) + 2548*a(n-3) - 5280*a(n-4), n >= 4. (End)

a(n) = 11^(n+3)/15 + 2*8^(n+2)/3 - 125*10^n - 27*6^n/5. - R. J. Mathar, Mar 15 2011

MATHEMATICA

CoefficientList[Series[1/((1-6x)(1-8x)(1-10x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{35, -452, 2548, -5280}, {1, 35, 773, 13783}, 30] (* Harvey P. Dale, Aug 06 2013 *)

CROSSREFS

Sequence in context: A387314 A028220 A334909 * A028212 A028196 A028208

Adjacent sequences: A028210 A028211 A028212 * A028214 A028215 A028216

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

URL: https://oeis.org/A028213

⇱ A028213 - OEIS