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A155449 Numbers k == 6 or 11 (mod 17). 6
6, 11, 23, 28, 40, 45, 57, 62, 74, 79, 91, 96, 108, 113, 125, 130, 142, 147, 159, 164, 176, 181, 193, 198, 210, 215, 227, 232, 244, 249, 261, 266, 278, 283, 295, 300, 312, 317, 329, 334, 346, 351, 363, 368, 380, 385, 397, 402, 414, 419, 431, 436, 448, 453 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Or, numbers k such that k^2 == 2 (mod 17).

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

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

FORMULA

a(n) = a(n-1) + a(n-2) - a(n-3); a(1)=6, a(2)=11, a(3)=23.

a(n) = (1/4)*(17 + 7*(-1)^(n-1) + 34*(n-1)). - Paolo P. Lava, Jan 26 2009

G.f.: x*(6 + 5*x + 6*x^2)/((1 + x)*(1 - x)^2). - Vincenzo Librandi, May 03 2014

MATHEMATICA

LinearRecurrence[{1, 1, -1}, {6, 11, 23}, 100] (* Vincenzo Librandi, Feb 29 2012 *)

CoefficientList[Series[(6 + 5 x + 6 x^2)/((1 + x) (1 - x)^2), {x, 0, 60}], x] (* Vincenzo Librandi, May 03 2014 *)

CROSSREFS

Sequence in context: A170880 A239767 A046616 * A220154 A309742 A063629

Adjacent sequences:  A155446 A155447 A155448 * A155450 A155451 A155452

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Jan 22 2009

EXTENSIONS

Simpler definition from Franklin T. Adams-Watters, Jun 16 2010

STATUS

approved

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Last modified July 28 12:14 EDT 2021. Contains 346328 sequences. (Running on oeis4.)