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

Author

N. J. A. Sloane, May 12 2002

Keywords

• nonn
• easy

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).

Crossrefs

Cf. A010398, A070456, A070457.

Programs

Mathematica

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

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

Formula

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