A199567 a(n) = 7*9^n + 1.
8, 64, 568, 5104, 45928, 413344, 3720088, 33480784, 301327048, 2711943424, 24407490808, 219667417264, 1977006755368, 17793060798304, 160137547184728, 1441237924662544, 12971141321962888, 116740271897665984, 1050662447078993848, 9455962023710944624, 85103658213398501608
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (10,-9).
Programs
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Magma
[7*9^n+1: n in [0..30]];
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Maxima
A199567(n):=7*9^n+1$ makelist(A199567(n),n,0,30); /* Martin Ettl, Nov 13 2012 */
Formula
a(n) = 8*A187709(n).
a(n) = 9*a(n-1) - 8 for n > 0.
a(n) = 10*a(n-1) - 9*a(n-2) for n > 1.
G.f.: 8*(1-2*x)/((1-x)*(1-9*x)).
a(n) = 4*(A096046(n) + 1). - Martin Ettl, Nov 13 2012
From Elmo R. Oliveira, Aug 23 2024: (Start)
E.g.f.: exp(x)*(7*exp(8*x) + 1).
a(n) = 2*A199566(n). (End)