A100776 a(n) = 997*n + 1009.
1009, 2006, 3003, 4000, 4997, 5994, 6991, 7988, 8985, 9982, 10979, 11976, 12973, 13970, 14967, 15964, 16961, 17958, 18955, 19952, 20949, 21946, 22943, 23940, 24937, 25934, 26931, 27928, 28925, 29922, 30919, 31916, 32913, 33910, 34907, 35904, 36901, 37898, 38895
Offset: 0
Examples
If n=1, 997*1 + 1009 = 2006. If n=2, 997*2 + 1009 = 3003.
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..10000
- Tanya Khovanova, Recursive Sequences.
- Index entries for linear recurrences with constant coefficients, signature (2,-1).
Programs
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Magma
[997 * n + 1009: n in [0..50]]; // Vincenzo Librandi, Jul 14 2011
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Maple
A100776:=n->997 * n + 1009; seq(A100776(n), n=0..50); # Wesley Ivan Hurt, Jan 22 2014
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Mathematica
Table[997 n + 1009, {n, 0, 50}] (* Wesley Ivan Hurt, Jan 22 2014 *) -
PARI
a(n)=997*n+1009 \\ Charles R Greathouse IV, Jul 10 2016
Formula
From Elmo R. Oliveira, Dec 07 2024: (Start)
G.f.: (1009 - 12*x)/(1 - x)^2.
E.g.f.: (1009 + 997*x)*exp(x).
a(n) = 2*a(n-1) - a(n-2) for n > 1. (End)
Extensions
More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 19 2005
Edited by Ray Chandler, Jan 25 2005
Comments