A171513 1+8*10^n+100^n.
10, 181, 10801, 1008001, 100080001, 10000800001, 1000008000001, 100000080000001, 10000000800000001, 1000000008000000001, 100000000080000000001, 10000000000800000000001
Offset: 0
Links
- 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