A171513 1+8*10^n+100^n.

10, 181, 10801, 1008001, 100080001, 10000800001, 1000008000001, 100000080000001, 10000000800000001, 1000000008000000001, 100000000080000000001, 10000000000800000000001

Offset

0,1

Links

Table of n, a(n) for n=0..11.

Index entries for linear recurrences with constant coefficients, signature (111,-1110,1000)

Formula

From Chai Wah Wu, May 30 2016: (Start)

a(n) = 111*a(n-1) - 1110*a(n-2) + 1000*a(n-3) for n > 2.

G.f.: (1810*x^2 - 929*x + 10)/((1 - x)*(1 - 10*x)*(1 - 100*x)). (End)

E.g.f.: (1 + 8*exp(9*x) + exp(99*x))*exp(x). - Ilya Gutkovskiy, May 30 2016

Crossrefs

Sequence in context: A054918 A095807 A064092 * A240405 A304936 A239764

Adjacent sequences: A171510 A171511 A171512 * A171514 A171515 A171516

Keyword

easy,nonn

Author

Jason Earls, Dec 10 2009

Status

approved