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A028213
Expansion of 1/((1-6x)(1-8x)(1-10x)(1-11x)).
0
1, 35, 773, 13783, 216909, 3146703, 43129381, 567128471, 7227535997, 89900761951, 1097000610069, 13181200344039, 156403487677165, 1836701044549679, 21383695384607237, 247159815109688887
OFFSET
0,2
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: A240928 A028220 A334909 * A028212 A028196 A028208
KEYWORD
nonn
STATUS
approved