A327926 a(n) = 99^n.
1, 99, 9801, 970299, 96059601, 9509900499, 941480149401, 93206534790699, 9227446944279201, 913517247483640899, 90438207500880449001, 8953382542587164451099, 886384871716129280658801, 87752102299896798785221299, 8687458127689783079736908601
Offset: 0
Examples
a(4) = 96059601 = 100^4 - 4*100^3 + 6*100^2 - 4*100 + 1 = 100000000 - 4000000 + 60000 - 400 - 1: 100000000 -> 96000000 -> 96060000 -> 96059600 -> 96059601. a(8) = 99^8 = 9227446944279201.
Links
- Index entries for linear recurrences with constant coefficients, signature (99).
Formula
a(n) = 99^n.
From Elmo R. Oliveira, Aug 11 2024: (Start)
G.f.: 1/(1-99*x).
E.g.f.: exp(99*x).
a(n) = 99*a(n-1) for n > 0. (End)