login
A028215
Expansion of 1/((1-6x)(1-8x)(1-11x)(1-12x)).
0
1, 37, 867, 16457, 276563, 4296369, 63218779, 894460009, 12289771395, 165102658721, 2179224895211, 28361892985881, 364934200067347, 4651876568586193, 58839203762144763, 739393306409353673
OFFSET
0,2
FORMULA
a(n) = 23*a(n-1) - 132*a(n-2) + 2^n*(4^(n+1) - 3^(n+1)), n >= 2. - Vincenzo Librandi, Mar 14 2011
a(n) = 6*12^(n+1) + 8^(n+2)/3 - 11^(n+3)/15 - 3*6^(n+1)/5. - R. J. Mathar, Mar 14 2011
MATHEMATICA
CoefficientList[Series[1/((1-6x)(1-8x)(1-11x)(1-12x)), {x, 0, 20}], x] (* or *) LinearRecurrence[{37, -502, 2952, -6336}, {1, 37, 867, 16457}, 20] (* Harvey P. Dale, Jul 23 2021 *)
CROSSREFS
Sequence in context: A028225 A028223 A028217 * A028198 A028164 A159090
KEYWORD
nonn
STATUS
approved