A096088 Triangle read by rows: row n lists quartic remainders modulo n.

0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 3, 4, 0, 1, 2, 4, 0, 1, 0, 1, 4, 7, 0, 1, 5, 6, 0, 1, 3, 4, 5, 9, 0, 1, 4, 9, 0, 1, 3, 9, 0, 1, 2, 4, 7, 8, 9, 11, 0, 1, 6, 10, 0, 1, 0, 1, 4, 13, 16, 0, 1, 4, 7, 9, 10, 13, 16, 0, 1, 4, 5, 6, 7, 9, 11, 16, 17, 0, 1, 5, 16, 0, 1, 4, 7, 9, 15, 16, 18, 0, 1, 3, 4, 5, 9, 11, 12

Offset: 2

Author

Cino Hilliard, Jul 21 2004

Keywords

• nonn
• tabf

Crossrefs

Cf. A096110.

Programs

PARI

maybefourth(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; print1(s[1]","); for(j=2,b+1, if(s[j]<>s[j-1], c++; print1(s[j]",") ) );

Extensions

Edited by Don Reble, May 07 2006