A070437 a(n) = n^2 mod 14.

0, 1, 4, 9, 2, 11, 8, 7, 8, 11, 2, 9, 4, 1, 0, 1, 4, 9, 2, 11, 8, 7, 8, 11, 2, 9, 4, 1, 0, 1, 4, 9, 2, 11, 8, 7, 8, 11, 2, 9, 4, 1, 0, 1, 4, 9, 2, 11, 8, 7, 8, 11, 2, 9, 4, 1, 0, 1, 4, 9, 2, 11, 8, 7, 8, 11, 2, 9, 4, 1, 0, 1, 4, 9, 2, 11, 8, 7, 8, 11, 2, 9, 4, 1, 0, 1, 4, 9, 2, 11, 8, 7, 8, 11, 2, 9, 4

Offset

0,3

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, 1).

Formula

G.f.: -x*(1 +4*x +9*x^2 +2*x^3 +11*x^4 +8*x^5 +7*x^6 +8*x^7 +11*x^8 +2*x^9 +9*x^10 +4*x^11 +x^12) / ((x-1)*(1+x^6+x^5+x^4+x^3+x^2+x)*(1+x)*(1-x+x^2-x^3+x^4-x^5+x^6)). - R. J. Mathar, Jul 27 2015

a(n) = a(n-14). - G. C. Greubel, Mar 24 2016

Mathematica

Table[Mod[n^2, 14], {n, 0, 200}] (* Vladimir Joseph Stephan Orlovsky, Apr 21 2011 *)
PowerMod[Range[0, 100], 2, 14] (* Harvey P. Dale, Dec 02 2014 *)

Prog

(PARI) a(n)=n^2%14 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Cf. A070434, A070435, A070436.

Sequence in context: A277526 A196505 A203816 * A238324 A370952 A128204

Adjacent sequences: A070434 A070435 A070436 * A070438 A070439 A070440

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved