A070459 a(n) = n^2 mod 37.

0, 1, 4, 9, 16, 25, 36, 12, 27, 7, 26, 10, 33, 21, 11, 3, 34, 30, 28, 28, 30, 34, 3, 11, 21, 33, 10, 26, 7, 27, 12, 36, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 36, 12, 27, 7, 26, 10, 33, 21, 11, 3, 34, 30, 28, 28, 30, 34, 3, 11, 21, 33, 10, 26, 7, 27, 12, 36, 25, 16, 9, 4, 1, 0, 1, 4

Offset

0,3

Comments

This is sequence repeat(0, S, reverse(S)), with S := Sequence(a(n), n = 1..18). [0, ordered(S)] is A010398. - Wolfdieter Lang, Jun 24 2019

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = a(n-37). - G. C. Greubel, Mar 25 2016

Mathematica

PowerMod[Range[0, 110], 2, 37] (* Harvey P. Dale, Aug 22 2015 *)

Prog

(PARI) a(n)=n^2%37 \\ Charles R Greathouse IV, Apr 06 2016
(Scala) (0 to 99).map(n => (n * n) % 37) // Alonso del Arte, Jun 24 2019

Crossrefs

Cf. A010398, A070456, A070457.

Sequence in context: A070462 A070461 A070460 * A292676 A241971 A335640

Adjacent sequences: A070456 A070457 A070458 * A070460 A070461 A070462

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved