A070436 -id:A070436 - cp's OEIS frontend

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

N. J. A. Sloane, May 12 2002

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).

Cf. A070434, A070435, A070436.

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 *)

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

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

A096459 Triangle read by rows: T(n,k) = n^2 mod prime(k), 1<=k<=n.

Original entry on oeis.org

1, 0, 1, 1, 0, 4, 0, 1, 1, 2, 1, 1, 0, 4, 3, 0, 0, 1, 1, 3, 10, 1, 1, 4, 0, 5, 10, 15, 0, 1, 4, 1, 9, 12, 13, 7, 1, 0, 1, 4, 4, 3, 13, 5, 12, 0, 1, 0, 2, 1, 9, 15, 5, 8, 13, 1, 1, 1, 2, 0, 4, 2, 7, 6, 5, 28, 0, 0, 4, 4, 1, 1, 8, 11, 6, 28, 20, 33, 1, 1, 4, 1, 4, 0, 16, 17, 8, 24, 14, 21, 5, 0, 1, 1, 0

Offset: 1

Reinhard Zumkeller, Aug 12 2004

T(n,k)=0 iff k is a prime factor of n:
A001221(n) = number of zeros in n-th row;
T(n,1)=A000035(n);
T(n,2)=A011655(n) for n>1; T(n,3)=A070430(n) for n>2;
T(n,4)=A053879(n) for n>3; T(n,5)=A070434(n) for n>4;
T(n,6)=A070436(n) for n>5; T(n,7)=A054580(n) for n>6;
T(n,8)=A070441(n) for n>7; T(n,9)=A070445(n) for n>8;
T(n,10)=A070451(n) for n>9;
T(n,n)=A069547(n).

			Triangle begins:
1;
0, 1;
1, 0, 4;
0, 1, 1, 2;
1, 1, 0, 4, 3;
0, 0, 1, 1, 3, 10;
1, 1, 4, 0, 5, 10, 15;
......

G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened

Cf. A000290, A000040, A049759.

Table[Mod[n^2, Prime[k]], {n, 1, 10}, {k, 1, n}] (* G. C. Greubel, May 20 2017 *)

cp's OEIS Frontend

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

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