A049625 Congruent to 1, 2, 4, 6, 8 or 9 mod 11, but with 2 instead of 1.

2, 2, 4, 6, 8, 9, 12, 13, 15, 17, 19, 20, 23, 24, 26, 28, 30, 31, 34, 35, 37, 39, 41, 42, 45, 46, 48, 50, 52, 53, 56, 57, 59, 61, 63, 64, 67, 68, 70, 72, 74, 75, 78, 79, 81, 83, 85, 86, 89, 90, 92, 94, 96, 97, 100, 101, 103, 105, 107, 108, 111, 112, 114, 116, 118, 119, 122, 123, 125

Offset: 0

Author

Clark Kimberling

Keywords

• nonn
• easy

Comments

a(n) = T(n, 3), array T as in A049615.

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (0,1,1,0,-1).

Programs

Mathematica

CoefficientList[Series[2 - x*(-2 - 4*x - 4*x^2 - 2*x^3 + x^4)/((1 + x)*(1 + x + x^2)*(x - 1)^2), {x,0,30}], x] (* G. C. Greubel, Dec 15 2017 *)

PARI

x='x+O('x^30); Vec(2 -x*(-2-4*x-4*x^2-2*x^3+x^4)/( (1+x)*(1+x+x^2)*(x-1)^2 )) \\ G. C. Greubel, Dec 15 2017

Formula

G.f.: 2 -x*(-2-4*x-4*x^2-2*x^3+x^4)/( (1+x)*(1+x+x^2)*(x-1)^2 ). - R. J. Mathar, Oct 26 2015

Extensions

Terms a(38) onward added by G. C. Greubel, Dec 15 2017