OFFSET
1,1
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..500
Index entries for linear recurrences with constant coefficients, signature (11,-10).
FORMULA
a(n) = 6*10^n - 8.
a(n) = 2*(A086943(n) + 3). - Martin Ettl, Nov 08 2012
From Colin Barker, Oct 14 2014: (Start)
a(n) = 10*a(n-1) + a(n-2) - 10*a(n-3).
G.f.: 4*x*(13+5*x)/((1-x)*(1-10*x)). (End)
E.g.f.: 2 (1 - 4*exp(x) + 3*exp(10*x)). - G. C. Greubel, Apr 13 2023
EXAMPLE
592 is in the sequence because 592 is the 295th even composite number.
MAPLE
MATHEMATICA
Table[6*10^n-8, {n, 20}]
PROG
(Maxima) A100413(n):=6*10^n-8$
makelist(A100413(n), n, 1, 17); /* Martin Ettl, Nov 08 2012 */
(PARI) Vec(4*x*(5*x+13)/((x-1)*(10*x-1)) + O(x^100)) \\ Colin Barker, Oct 14 2014
(Magma) [6*10^n -8: n in [1..20]]; // G. C. Greubel, Apr 13 2023
(SageMath) [6*10^n -8 for n in range(1, 21)] # G. C. Greubel, Apr 13 2023
CROSSREFS
KEYWORD
base,easy,nonn
AUTHOR
Farideh Firoozbakht, Dec 08 2004
STATUS
approved