A096110 Triangle read by rows: row n lists quartic residues modulo n.

1, 1, 1, 1, 1, 1, 2, 4, 1, 1, 4, 7, 1, 1, 3, 4, 5, 9, 1, 1, 3, 9, 1, 9, 11, 1, 1, 1, 4, 13, 16, 1, 7, 13, 1, 4, 5, 6, 7, 9, 11, 16, 17, 1, 1, 4, 16, 1, 3, 5, 9, 15, 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 1, 1, 6, 11, 16, 21, 1, 3, 9, 1, 4, 7, 10, 13, 16, 19, 22, 25, 1, 9, 25, 1, 7, 16, 20, 23, 24, 25

Offset

2,7

Links

Table of n, a(n) for n=2..92.

Prog

(PARI) maybefourthgcd1(n) = { for(x=2, n, b=floor(x-1); a=vector(b+1); for(y=1, b, z=y^4%x; if(z<>0, a[y]=z; ) ); s=vecsort(a); c=1; for(j=2, b+1, if(s[j]<>s[j-1], c++; if(gcd(s[j], x)==1, print1(s[j]", ")) ) ); ) }

Crossrefs

Cf. A096088.

Sequence in context: A292495 A065626 A201758 * A207260 A187913 A329458

Adjacent sequences: A096107 A096108 A096109 * A096111 A096112 A096113

Keyword

nonn,tabf

Author

Cino Hilliard, Jul 22 2004

Extensions

Edited by Don Reble, May 07 2006

Status

approved