OFFSET
0,2
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..920
Index entries for linear recurrences with constant coefficients, signature (30,-293,924).
FORMULA
a(n) = 30*a(n-1) - 293*a(n-2) + 924*a(n-3), n>=3. - Vincenzo Librandi, Mar 15 2011
a(n) = 23*a(n-1) - 132*a(n-2) + 7^n, a(0)=1, a(1)=30. - Vincenzo Librandi, Mar 15 2011
a(n) = 49*7^n/20 - 121*11^n/4 + 144*12^n/5. - R. J. Mathar, Jul 01 2013
MAPLE
seq(coeftayl(1/((1-7*x)*(1-11*x)*(1-12*x)), x = 0, k), k=0..17); # Muniru A Asiru, Feb 10 2018
MATHEMATICA
CoefficientList[Series[1/((1-7*x)*(1-11*x)*(1-12*x)), {x, 0, 50}], x] (* G. C. Greubel, Feb 09 2018 *)
LinearRecurrence[{30, -293, 924}, {1, 30, 607}, 20] (* Robert G. Wilson v, Feb 10 2018 *)
PROG
(PARI) x='x+O('x^30); Vec(1/((1-7*x)*(1-11*x)*(1-12*x))) \\ G. C. Greubel, Feb 09 2018
(Magma) R<x>:=PowerSeriesRing(Integers(), 30); Coefficients(R!(1/((1-7*x)*(1-11*x)*(1-12*x)))); // G. C. Greubel, Feb 09 2018
(GAP) a:=[1, 30, 607];; for n in [4..17] do a[n]:=30*a[n-1]-293*a[n-2]+924*a[n-3]; od; a; # Muniru A Asiru, Feb 10 2018
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
a(16)-a(17) from Muniru A Asiru, Feb 10 2018
STATUS
approved