OFFSET
0,2
LINKS
Colin Barker, Table of n, a(n) for n = 0..500
Tanya Khovanova, Recursive Sequences
Index entries for linear recurrences with constant coefficients, signature (98,-1).
FORMULA
G.f.: (1 - x)/(1 - 98*x + x^2).
a(n) = a(-1-n).
a(n) = cosh((2*n + 1)*arccosh(5))/5.
a(n) = ((5 + 2*sqrt(6))^(2*n + 1) + 1/(5 + 2*sqrt(6))^(2*n + 1))/10.
a(n) = (1/5)*T(2*n+1, 5), where T(n,x) denotes the n-th Chebyshev polynomial of the first kind. - Peter Bala, Jul 08 2022
MATHEMATICA
LinearRecurrence[{98, -1}, {1, 97}, 20]
PROG
(PARI) x='x+O('x^99); Vec((1-x)/(1-98*x+x^2)) \\ Altug Alkan, Apr 06 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Bruno Berselli, Apr 05 2018
STATUS
approved