login
A196792
a(n) = T(10,n), array T given by A047848.
1
1, 2, 15, 184, 2381, 30942, 402235, 5229044, 67977561, 883708282, 11488207655, 149346699504, 1941507093541, 25239592216022, 328114698808275, 4265491084507564, 55451384098598321, 720867993281778162, 9371283912663116095, 121826690864620509224, 1583746981240066619901
OFFSET
0,2
FORMULA
a(n) = (13^n + 11)/12; a(0)=1, a(n) = 13*a(n-1) - 11.
G.f.: (1-12*x)/((1-x)*(1-13*x)). - Bruno Berselli, Oct 11 2011
From Elmo R. Oliveira, Aug 30 2024: (Start)
E.g.f.: exp(x)*(exp(12*x) + 11)/12.
a(n) = 14*a(n-1) - 13*a(n-2) for n > 1. (End)
PROG
(Magma) [(13^n+11)/12: n in [0..20]];
CROSSREFS
Cf. A001022 (first differences).
Sequence in context: A364340 A099709 A208409 * A210655 A052857 A053492
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Oct 11 2011
STATUS
approved