OFFSET
0,1
REFERENCES
A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 189, 194-196.
LINKS
Harvey P. Dale, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (6,-9).
FORMULA
a(n) = 3^(n-1)*(5*n-6).
a(n) = 6*a(n-1) - 9*a(n-2), with a(0) = -2, a(1) = -1.
E.g.f.: (5*x - 2)*exp(3*x). - G. C. Greubel, May 16 2019
MATHEMATICA
LinearRecurrence[{6, -9}, {-2, -1}, 30] (* Harvey P. Dale, Jun 26 2012 *)
PROG
(PARI) Vec((11*x-2)/(1-3*x)^2 + O(x^30)) \\ Michel Marcus, Dec 03 2014
(Magma) [3^(n-1)*(5*n-6) : n in [0..30]]; // G. C. Greubel, May 16 2019
(Sage) [3^(n-1)*(5*n-6) for n in (0..30)] # G. C. Greubel, May 16 2019
(GAP) List([0..30], n-> 3^(n-1)*(5*n-6)) # G. C. Greubel, May 16 2019
CROSSREFS
KEYWORD
easy,sign
AUTHOR
Barry E. Williams, Jan 17 2000
STATUS
approved