The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A165989 Numbers such that n^2 = 29 mod 1193. 1
 534, 659, 1727, 1852, 2920, 3045, 4113, 4238, 5306, 5431, 6499, 6624, 7692, 7817, 8885, 9010, 10078, 10203, 11271, 11396, 12464, 12589, 13657, 13782, 14850, 14975, 16043, 16168, 17236, 17361, 18429, 18554, 19622, 19747, 20815, 20940, 22008, 22133, 23201 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES Albert H. Beiler, Recreations in the Theory of Numbers: The Queen of Mathematics Entertains at 203, 315 (2d ed. 1966) LINKS G. C. Greubel, Table of n, a(n) for n = 1..5000 Index entries for linear recurrences with constant coefficients, signature (1,1,-1). FORMULA a(1) = 534, a(2) = 659, a(3) = 1727, a(n) = a(n-1) +a(n-2) -a(n-3). - Harvey P. Dale, Oct 22 2012 From Colin Barker, Aug 07 2013: (Start) a(n) = (-1193 -943*(-1)^n +2386*n)/4. G.f.: x*(534*x^2+125*x+534) / ((x-1)^2*(x+1)). (End) E.g.f.: (943*exp(-x) + 1193*(1 + 2*x)*exp(x))/4. - Ilya Gutkovskiy, Apr 21 2016 EXAMPLE 1727^2 = 2982529, and 2982529 divided by 1193 leaves a remainder of 29 MATHEMATICA Sqrt[ # ]&/@Select[Range[20000]^2, Mod[ #, 1193]==29&] LinearRecurrence[{1, 1, -1}, {534, 659, 1727}, 40] (* Harvey P. Dale, Oct 22 2012 *) Select[Range[25000], PowerMod[#, 2, 1193]==29&] (* Harvey P. Dale, Apr 29 2015 *) CROSSREFS Sequence in context: A098258 A160176 A077085 * A183598 A252536 A067723 Adjacent sequences: A165986 A165987 A165988 * A165990 A165991 A165992 KEYWORD easy,nonn AUTHOR Harvey P. Dale, Oct 03 2009 EXTENSIONS More terms from Colin Barker, Aug 07 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 9 00:20 EST 2022. Contains 358698 sequences. (Running on oeis4.)