A146511 Numbers congruent to {5, 17} modulo 66.

5, 17, 71, 83, 137, 149, 203, 215, 269, 281, 335, 347, 401, 413, 467, 479, 533, 545, 599, 611, 665, 677, 731, 743, 797, 809, 863, 875, 929, 941, 995, 1007, 1061, 1073, 1127, 1139, 1193, 1205, 1259, 1271, 1325, 1337, 1391, 1403, 1457, 1469, 1523, 1535, 1589

Offset

1,1

Comments

Positive integers k such that Hypergeometric[k/22,(22-k)/22,1/2,3/4] = 2*cos(Pi/11).

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

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

Formula

a(2k-1) = 66*(k-1)+5, a(2k) = 66*(k-1)+17, where k>0.

G.f.: x*(5 + 12*x + 49*x^2)/((1 - x)^2*(1 + x)). - Ilya Gutkovskiy, Dec 06 2016

E.g.f.: 49 + ((66*x - 77)*exp(x) - 21*exp(-x))/2. - David Lovler, Sep 10 2022

Mathematica

Select[Range[1600], MemberQ[{5, 17}, Mod[#, 66]]&]  (* Ray Chandler, Dec 06 2016 *)
#+{5, 17}&/@(66*Range[0, 30])//Flatten (* Harvey P. Dale, Mar 26 2019 *)

Crossrefs

Cf. A146507, A146509, A146510, A146512.

Sequence in context: A214003 A249015 A273852 * A128887 A149708 A149709

Adjacent sequences: A146508 A146509 A146510 * A146512 A146513 A146514

Keyword

nonn,easy

Author

Artur Jasinski, Oct 30 2008

Extensions

Description, formula and crossrefs corrected by Ray Chandler, Dec 06 2016

Status

approved