A196676 Expansion of g.f. (1-8*x)/(1-25*x).
1, 17, 425, 10625, 265625, 6640625, 166015625, 4150390625, 103759765625, 2593994140625, 64849853515625, 1621246337890625, 40531158447265625, 1013278961181640625, 25331974029541015625, 633299350738525390625, 15832483768463134765625, 395812094211578369140625, 9895302355289459228515625
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (25).
Programs
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Mathematica
CoefficientList[Series[(1-8x)/(1-25x),{x,0,30}],x] (* Harvey P. Dale, Apr 29 2014 *)
Formula
a(0) = 1, a(n) = 17*25^(n-1) for n>0.
a(n) = Sum_{k=0..n} A193722(n,k)*8^k.
From Elmo R. Oliveira, Mar 25 2025: (Start)
E.g.f.: (17*exp(25*x) + 8)/25.
a(n) = 25*a(n-1) for n > 1. (End)
Extensions
More terms from Elmo R. Oliveira, Mar 25 2025