A088227 Solutions x to x^n == 7 mod 13.

2, 6, 7, 11, 15, 19, 20, 24, 28, 32, 33, 37, 41, 45, 46, 50, 54, 58, 59, 63, 67, 71, 72, 76, 80, 84, 85, 89, 93, 97, 98, 102, 106, 110, 111, 115, 119, 123, 124, 128, 132, 136, 137, 141, 145, 149, 150, 154, 158, 162, 163, 167, 171, 175, 176, 180, 184, 188, 189, 193

Offset: 1

Author

Cino Hilliard, Nov 03 2003

Keywords

• nonn
• easy

Examples

			2^11 - 7 = 2041 = 11*157. Thus 2 is in the sequence.
		

References

• E. Grosswald, Topics From The Theory of Numbers, 1966, pp. 62-63.

Links

• Index entries for linear recurrences with constant coefficients, signature (1,0,0,1,-1).

Programs

Magma

I:=[2,6,7,11,15]; [n le 5 select I[n] else Self(n-1)+Self(n-4)-Self(n-5): n in [1..70]]; // Vincenzo Librandi, Dec 02 2016

Mathematica

LinearRecurrence[{1, 0, 0, 1, -1},{2, 6, 7, 11, 15},60] (* Ray Chandler, Aug 25 2015 *)

PARI

conxkmap(a,p,n) = { for(x=1,n, for(j=1,n, y=x^j-a; if(y%p==0,print1(x","); break) ) ) }

Formula

G.f.: x*(2 + 4*x + x^2 + 4*x^3 + 2*x^4)/(1 - x - x^4 + x^5). - Philippe Deléham, Dec 01 2016