A171410 1+5*10^n+100^n.

7, 151, 10501, 1005001, 100050001, 10000500001, 1000005000001, 100000050000001, 10000000500000001, 1000000005000000001, 100000000050000000001, 10000000000500000000001

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.: (1510*x^2 - 626*x + 7)/((1 - x)*(1 - 10*x)*(1 - 100*x)). (End)

E.g.f.: (1 + 5*exp(9*x) + exp(99*x))*exp(x). - Ilya Gutkovskiy, May 30 2016

Crossrefs

Sequence in context: A202558 A159659 A100868 * A277122 A351147 A351609

Adjacent sequences: A171407 A171408 A171409 * A171411 A171412 A171413

Keyword

easy,nonn

Author

Jason Earls, Dec 08 2009

Status

approved