A070448 a(n) = n^2 mod 26.

0, 1, 4, 9, 16, 25, 10, 23, 12, 3, 22, 17, 14, 13, 14, 17, 22, 3, 12, 23, 10, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 10, 23, 12, 3, 22, 17, 14, 13, 14, 17, 22, 3, 12, 23, 10, 25, 16, 9, 4, 1, 0, 1, 4, 9, 16, 25, 10, 23, 12, 3, 22, 17, 14, 13, 14, 17, 22, 3, 12, 23, 10, 25, 16, 9, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

G.f.: (x +4*x^2 +9*x^3 +16*x^4 +25*x^5 +10*x^6 +23*x^7 +12*x^8 +3*x^9 +22*x^10 +17*x^11 +14*x^12 +13*x^13 +14*x^14 +17*x^15 + 22*x^16 + 3*x^17 +12*x^18 +23*x^19 +10*x^20 +25*x^21 +16*x^22 +9*x^23 +4*x^24 +x^25)/(1-x^26). - Vincenzo Librandi, Dec 16 2014

a(n) = a(n-26). - G. C. Greubel, Mar 24 2016

Maple

A070448:=n->n^2 mod 26: seq(A070448(n), n=0..150); # Wesley Ivan Hurt, Apr 09 2017

Mathematica

Table[Mod[n^2, 26], {n, 0, 200}] (* Vladimir Joseph Stephan Orlovsky, Apr 23 2011 *)
PowerMod[Range[0, 80], 2, 26] (* Harvey P. Dale, Dec 15 2014 *)

Prog

(PARI) a(n)=n^2%26 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Sequence in context: A070450 A070449 A357408 * A081403 A259602 A017668

Adjacent sequences: A070445 A070446 A070447 * A070449 A070450 A070451

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved