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

1,1

References

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

Links

Table of n, a(n) for n=1..60.

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

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

Example

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

Mathematica

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

Prog

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

Crossrefs

Sequence in context: A032926 A214991 A286995 * A231500 A174000 A241720

Adjacent sequences: A088224 A088225 A088226 * A088228 A088229 A088230

Keyword

nonn,easy

Author

Cino Hilliard, Nov 03 2003

Status

approved