A016225 Expansion of 1/((1-x)(1-4x)(1-10x)).
1, 15, 171, 1795, 18291, 184275, 1848211, 18503955, 185126931, 1851618835, 18517586451, 185181456915, 1851836938771, 18518458866195, 185184946575891, 1851850897414675, 18518514700769811, 185185169914190355
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (15,-54,40).
Programs
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Maple
A016225 := proc(n) (50*10^n-24*4^n+1)/27 ; end proc: seq(A016225(n),n=0..20) ; # R. J. Mathar, Mar 22 2011
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Mathematica
Table[(50*10^n - 24*4^n + 1)/27, {n, 0, 20}] (* Wesley Ivan Hurt, May 25 2024 *) -
PARI
Vec(1/((1-x)*(1-4*x)*(1-10*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012
Formula
G.f.: 1/((1-x)*(1-4*x)*(1-10*x)).
a(n) = (50*10^n-24*4^n+1)/27. - Paul Barry, Feb 17 2003
a(n) = 14*a(n-1)-40*a(n-2)+1, n>=2. - Vincenzo Librandi, Feb 10 2011
a(n) = 15*a(n-1) - 54*a(n-2) + 40*a(n-3). - Wesley Ivan Hurt, May 25 2024