A166959 Numbers congruent to (12,32) mod 44.

12, 32, 56, 76, 100, 120, 144, 164, 188, 208, 232, 252, 276, 296, 320, 340, 364, 384, 408, 428, 452, 472, 496, 516, 540, 560, 584, 604, 628, 648, 672, 692, 716, 736, 760, 780, 804, 824, 848, 868, 892, 912, 936, 956, 980, 1000, 1024, 1044, 1068

Offset

1,1

Comments

Twelfth row of 22-rowed array.

Links

G. C. Greubel, Table of n, a(n) for n = 1..1000

Index entries for linear recurrences with constant coefficients, signature (1,1,-1).

Formula

Except for the initial term, a(n) = 44*(n-1) - a(n-1).

From R. J. Mathar, Jan 30 2010: (Start)

a(n) = a(n-1) + a(n-2) - a(n-3).

a(n) = 22*n - (-1)^n - 11.

G.f.: 4*x*(3 + 5*x + 3*x^2)/((1+x)*(x-1)^2). (End)

E.g.f.: 11*(2*x - 1)*exp(x) - exp(-x) + 12. - G. C. Greubel, May 29 2016

Mathematica

LinearRecurrence[{1, 1, -1}, {12, 32, 56}, 50] (* G. C. Greubel, May 29 2016 *)
Select[Range[1200], MemberQ[{12, 32}, Mod[#, 44]]&] (* Harvey P. Dale, Oct 14 2022 *)

Prog

(Magma) [ n : n in [1..1650] | n mod 44 in [12, 32] ]; // Vincenzo Librandi, Apr 21 2011

Crossrefs

Sequence in context: A248817 A051519 A305074 * A134582 A177721 A081268

Adjacent sequences: A166956 A166957 A166958 * A166960 A166961 A166962

Keyword

easy,nonn

Author

Giovanni Teofilatto, Oct 25 2009

Extensions

First formula corrected by R. J. Mathar, Jan 30 2010

Last few terms corrected by Vincenzo Librandi, Apr 21 2011

Status

approved