OFFSET
1,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (101,-100).
FORMULA
From Elmo R. Oliveira, Mar 16 2025: (Start)
G.f.: 21*x/((100*x-1)*(x-1)).
a(n) = 21*A094028(n-1).
a(n) = 101*a(n-1) - 100*a(n-2).
E.g.f.: 7*exp(x)*(exp(99*x) - 1)/33. (End)
MAPLE
a:= n-> parse(cat(21$n)):
seq(a(n), n=1..20); # Alois P. Heinz, Jun 16 2021
PROG
(PARI)
g2(n) = (10^(2*n)-1)*1*21/99
for(x=1, 25, print1(g2(x), ", "))
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Cino Hilliard, Jan 02 2009
EXTENSIONS
Name edited by Elmo R. Oliveira, Mar 16 2025
STATUS
approved