OFFSET
0,3
COMMENTS
Binomial transform is A102900.
Hankel transform is = 1,6,0,0,0,0,0,0,0,0,0,0,... - Philippe Deléham, Nov 02 2008
REFERENCES
Maria Paola Bonacina and Nachum Dershowitz, Canonical Inference for Implicational Systems, in Automated Reasoning, Lecture Notes in Computer Science, Volume 5195/2008, Springer-Verlag.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (1,6).
FORMULA
EXAMPLE
a(6) = 330; (2*3^6 + 3*(-2)^6)/5 = (1458 + 192)/5 = 330.
MAPLE
MATHEMATICA
CoefficientList[Series[(1-x)/((1+2x)(1-3x)), {x, 0, 50}], x] (* Vincenzo Librandi, Jul 20 2013 *)
PROG
(Magma) [(2*3^n+3*(-2)^n)/5: n in [0..50]]; // Vincenzo Librandi, Jul 20 2013
(PARI) a(n)=([0, 1; 6, 1]^n*[1; 0])[1, 1] \\ Charles R Greathouse IV, Mar 28 2016
(SageMath)
A102901=BinaryRecurrenceSequence(1, 6, 1, 0)
[A102901(n) for n in range(51)] # G. C. Greubel, Dec 09 2022
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Jan 17 2005
STATUS
approved