OFFSET
1,1
LINKS
Eric Weisstein's World of Mathematics, Book Graph
Eric Weisstein's World of Mathematics, Edge Cover
Index entries for linear recurrences with constant coefficients, signature (8,-17,10).
FORMULA
a(n) = 2*5^n - 2^(n + 1) - 1.
G.f.: x*(10*x^2-x-5)/((x-1)*(2*x-1)*(5*x-1)).
a(n) = 8*a(n-1) - 17*a(n-2) + 10*a(n-3).
MATHEMATICA
Table[2 5^n - 2^(n + 1) - 1, {n, 20}]
LinearRecurrence[{8, -17, 10}, {5, 41, 233}, 20]
CoefficientList[Series[(10 x^2 - x - 5)/((x - 1) (2 x - 1) (5 x - 1)), {x, 0, 20}], x]
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Eric W. Weisstein, Jul 29 2022
STATUS
approved