A199029 a(n) = 9*11^n - 1.
8, 98, 1088, 11978, 131768, 1449458, 15944048, 175384538, 1929229928, 21221529218, 233436821408, 2567805035498, 28245855390488, 310704409295378, 3417748502249168, 37595233524740858, 413547568772149448, 4549023256493643938, 50039255821430083328, 550431814035730916618
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..900
- Index entries for linear recurrences with constant coefficients, signature (12,-11).
Programs
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Magma
[9*11^n-1: n in [0..20]];
Formula
a(n) = 11*a(n-1) + 10.
a(n) = 12*a(n-1) - 11*a(n-2).
From Bruno Berselli, Nov 03 2011: (Start)
G.f.: 2*(4+x)/((1-x)*(1-11*x)).
a(n) = 2*A199028(n). (End)
From Elmo R. Oliveira, May 07 2025: (Start)
E.g.f.: exp(x)*(9*exp(10*x) - 1).
a(n) = A199763(n) - 2. (End)