OFFSET
0,2
COMMENTS
Binomial transform of A152267. Tenth binomial transform of powers of 8 interleaved with zeros.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..900
Index entries for linear recurrences with constant coefficients, signature (20,-92).
FORMULA
a(n) = ((10+sqrt(8))^n + (10-sqrt(8))^n)/2.
G.f.: (1-10*x)/(1-20*x+92*x^2).
MATHEMATICA
LinearRecurrence[{20, -92}, {1, 10}, 50] (* or *) Table[((10+Sqrt[8])^n + (10-Sqrt[8])^n)/2, {n, 0, 25}] (* G. C. Greubel, Dec 10 2016 *)
PROG
(Magma) [ n le 2 select 9*n-8 else 20*Self(n-1)-92*Self(n-2): n in [1..17] ];
(PARI) Vec((1-10*x)/(1-20*x+92*x^2) + O(x^50)) \\ G. C. Greubel, Dec 10 2016
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Klaus Brockhaus, Jul 28 2009
EXTENSIONS
Terms a(18) - a(20) added by G. C. Greubel, Dec 10 2016
STATUS
approved