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A016298
Expansion of 1/((1-2x)(1-5x)(1-9x)).
0
1, 16, 183, 1850, 17681, 164316, 1504843, 13673710, 123714261, 1116683216, 10066424303, 90679197570, 816519676441, 7350711587716, 66166576804563, 595550053849430, 5360204797752221, 48243114745437816
OFFSET
0,2
FORMULA
From Vincenzo Librandi, Mar 16 2011: (Start)
a(n) = 16*a(n-1) - 73*a(n-2) + 90*a(n-3), n >= 3.
a(n) = 14*a(n-1) - 45*a(n-2) + 2^n, n >= 2. (End)
a(n) = 2^(n+2)/21 + 9^(n+2)/28 - 5^(n+2)/12. - R. J. Mathar, Mar 18 2011
MATHEMATICA
CoefficientList[Series[1/((1-2x)(1-5x)(1-9x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{16, -73, 90}, {1, 16, 183}, 30] (* Harvey P. Dale, Jul 06 2014 *)
CROSSREFS
Sequence in context: A279282 A231135 A230992 * A288720 A125428 A203391
KEYWORD
nonn
STATUS
approved