OFFSET
0,2
LINKS
Tanya Khovanova, Recursive Sequences
Index entries for linear recurrences with constant coefficients, signature (100,1).
FORMULA
a(n) = Sum_{k=0..floor(n/2)} binomial(n-k, k)*100^(n-2k).
From Philippe Deléham, Nov 23 2008: (Start)
a(n) = 100*a(n-1) + a(n-2), n > 1; a(0)=1, a(1)=100.
G.f.: 1/(1-100*x-x^2). (End)
E.g.f.: exp(50*x)*(cosh(sqrt(2501)*x) + 50*sinh(sqrt(2501)*x)/sqrt(2501)). - Stefano Spezia, Aug 05 2024
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Jul 14 2004
EXTENSIONS
a(12)-a(15) from Stefano Spezia, Aug 05 2024
STATUS
approved