A070434 a(n) = n^2 mod 11.

0, 1, 4, 9, 5, 3, 3, 5, 9, 4, 1, 0, 1, 4, 9, 5, 3, 3, 5, 9, 4, 1, 0, 1, 4, 9, 5, 3, 3, 5, 9, 4, 1, 0, 1, 4, 9, 5, 3, 3, 5, 9, 4, 1, 0, 1, 4, 9, 5, 3, 3, 5, 9, 4, 1, 0, 1, 4, 9, 5, 3, 3, 5, 9, 4, 1, 0, 1, 4, 9, 5, 3, 3, 5, 9, 4, 1, 0, 1, 4, 9, 5, 3, 3, 5, 9, 4, 1, 0, 1, 4, 9, 5, 3, 3, 5, 9, 4, 1, 0, 1

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, 1).

Formula

From R. J. Mathar, Apr 20 2010: (Start)

a(n) = a(n-11).

G.f.: ( -x*(1+x)*(x^8+3*x^7+6*x^6-x^5+4*x^4-x^3+6*x^2+3*x+1) ) / ( (x-1)*(1+x+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9+x^10) ). (End)

a(n) = A010880(n^2). - Michel Marcus, Mar 24 2016

Mathematica

Table[Mod[n^2, 11], {n, 0, 200}] (* Vladimir Joseph Stephan Orlovsky, Apr 21 2011 *)

Prog

(PARI) a(n)=n^2%11 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Cf. A010880, A070430, A070431, A070432.

Sequence in context: A340350 A164818 A065796 * A011003 A344078 A200011

Adjacent sequences: A070431 A070432 A070433 * A070435 A070436 A070437

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved