OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..950
Index entries for linear recurrences with constant coefficients, signature (27, -252, 932, -1056).
FORMULA
a(n) = (-5*2^n + 729*6^n - 30*8^(n+2) + 11^(n+3))/135. R. J. Mathar, Jun 23 2013
E.g.f.: (-5*exp(2*x) +729*exp(6*x) -1920*exp(8*x) +1331*exp(11*x))/135. - G. C. Greubel, Jul 16 2019
MATHEMATICA
CoefficientList[Series[1/((1-2x)(1-6x)(1-8x)(1-11x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{27, -252, 932, -1056}, {1, 27, 477, 7007}, 30] (* Harvey P. Dale, Dec 15 2014 *)
PROG
(PARI) vector(30, n, n--; (-5*2^n + 729*6^n - 30*8^(n+2) + 11^(n+3))/135) \\ G. C. Greubel, Jul 16 2019
(Magma) [(-5*2^n + 729*6^n - 30*8^(n+2) + 11^(n+3))/135: n in [0..30]]; // G. C. Greubel, Jul 16 2019
(Sage) [(-5*2^n + 729*6^n - 30*8^(n+2) + 11^(n+3))/135 for n in (0..30)] # G. C. Greubel, Jul 16 2019
(GAP) List([0..30], n-> (-5*2^n + 729*6^n - 30*8^(n+2) + 11^(n+3))/135) # G. C. Greubel, Jul 16 2019
CROSSREFS
KEYWORD
nonn
AUTHOR
STATUS
approved