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A016207 Expansion of 1/((1-x)*(1-2*x)*(1-12*x)). 1
1, 15, 187, 2259, 27139, 325731, 3908899, 46907043, 562885027, 6754621347, 81055458211, 972665502627, 11671986039715, 140063832492963, 1680765989948323, 20169191879445411, 242030302553476003 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
a(n) = (72*12^n-22*2^n+5)/55. - Bruno Berselli, Feb 09 2011
a(n) = 12*a(n-1)+2^(n+1)-1, n>0. - Vincenzo Librandi, Feb 09 2011
MAPLE
A016207 := proc(n) (6*12^(n+1)-11*2^(n+1)+5)/55 ; end proc:
seq(A016207(n), n=0..20) ; # R. J. Mathar, Feb 09 2011
MATHEMATICA
A016207[n_] := (72*12^n - 22*2^n + 5)/55; Array[A016207, 20, 0] (* or *)
LinearRecurrence[{15, -38, 24}, {1, 15, 187}, 20] (* Paolo Xausa, Feb 08 2024 *)
PROG
(PARI) Vec(1/((1-x)*(1-2*x)*(1-12*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012
CROSSREFS
Sequence in context: A366662 A240796 A206514 * A286347 A016147 A145601
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified March 28 08:22 EDT 2024. Contains 371236 sequences. (Running on oeis4.)