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A016166
Expansion of 1/((1-5*x)*(1-12*x)).
2
1, 17, 229, 2873, 35101, 424337, 5107669, 61370153, 736832461, 8843942657, 106137077509, 1273693758233, 15284569239421, 183416051576177, 2200998722429749, 26412015186735113, 316944334828711981, 3803332780883996897, 45639997185305228389, 547679985297149068793
OFFSET
0,2
LINKS
Daniele A. Gewurz and Francesca Merola, Sequences realized as Parker vectors of oligomorphic permutation groups, J. Integer Seqs., Vol. 6, 2003.
FORMULA
G.f.: 1/((1-5*x)*(1-12*x)).
a(n) = (12^(n+1) - 5^(n+1))/7. - Bruno Berselli, Feb 09 2011
a(n) = 12*a(n-1) + 5^n, a(0)=1. - Vincenzo Librandi, Feb 09 2011
a(n) = 17*a(n-1) - 60*a(n-2), n > 1. - Wesley Ivan Hurt, Aug 28 2015
E.g.f.: (1/7)*(12*exp(12*x) - 5*exp(5*x)). - G. C. Greubel, Nov 10 2024
MAPLE
A016166:=n->(12^(n+1)-5^(n+1))/7: seq(A016166(n), n=0..30); # Wesley Ivan Hurt, Aug 28 2015
MATHEMATICA
LinearRecurrence[{17, -60}, {1, 17}, 41] (* Vladimir Joseph Stephan Orlovsky, Feb 08 2011 *)
Table[(12^(n+1)-5^(n+1))/7, {n, 0, 40}] (* Wesley Ivan Hurt, Aug 28 2015 *)
PROG
(Magma) [(12^(n+1)-5^(n+1))/7 : n in [0..30]]; // Wesley Ivan Hurt, Aug 28 2015
(SageMath)
A016166=BinaryRecurrenceSequence(17, -60, 1, 17)
[A016166(n) for n in range(41)] # G. C. Greubel, Nov 10 2024
CROSSREFS
Cf. A016161.
Sequence in context: A142547 A243229 A329015 * A358712 A206354 A119273
KEYWORD
nonn,easy
STATUS
approved