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A016293
Expansion of 1/((1-2x)(1-4x)(1-11x)).
1
1, 17, 215, 2485, 27831, 308157, 3397855, 37409045, 411630311, 4528457197, 49815125295, 547974764805, 6027755963191, 66305449804637, 729360484705535, 8022967479211765, 88252650861198471, 970779193832790477, 10678571269599386575, 117464284515348541925
OFFSET
0,2
FORMULA
Contribution from Vincenzo Librandi, Mar 15 2011: (Start)
a(n) = 17*a(n-1) - 74*a(n-2) + 88*a(n-3), n>=3.
a(n) = 15*a(n-1) - 44*a(n-2) + 2^n, a(0)=1, a(1)=17. (End)
a(n) = (2/9)*2^n-(8/7)*(4)^n+(121/63)*11^n. - Antonio Alberto Olivares, May 12, 2012
MATHEMATICA
CoefficientList[Series[1/((1-2x)(1-4x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{17, -74, 88}, {1, 17, 215}, 30] (* Harvey P. Dale, Apr 26 2015 *)
CROSSREFS
Sequence in context: A021054 A016246 A009441 * A139733 A016185 A125452
KEYWORD
nonn
AUTHOR
STATUS
approved