A108497 Triangle read by rows: T(n,k) = k^(n+1)-k mod n, showing 1<=k<=n.

0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 5, 6, 2, 0, 0, 6, 0, 4, 0, 2, 0, 0, 0, 5, 6, 0, 8, 3, 0, 2, 0, 0, 6, 4, 0, 0, 0, 6, 4, 0, 0, 0, 2, 6, 1, 9, 8, 9, 1, 6, 2, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 2, 6, 12, 7, 4, 3, 4, 7, 12, 6, 2, 0, 0, 6, 10, 4, 8, 0, 0, 0, 6, 10, 4, 8

Offset

1,5

Links

Table of n, a(n) for n=1..103.

Formula

T(n, k+n)=T(n, k). T(n, 0)=T(n, 1)=T(n, n)=T(1, k)=T(2, k)=T(6, k)=T(42, k)=T(1806, k)=0.

Example

Rows start: 0; 0,0; 0,2,0; 0,2,0,0; 0,2,1,2,0; 0,0,0,0,0,0; 0,2,6,5,6,2,0; etc.
T(7,3) = 3^(7+1)-3 mod 7 = 6558 mod 7 = 6.

Crossrefs

Cf. A014117, A108495, A108496, A108498, A108499.

Sequence in context: A112301 A136521 A066448 * A108498 A178923 A242609

Adjacent sequences: A108494 A108495 A108496 * A108498 A108499 A108500

Keyword

nonn,tabl

Author

Henry Bottomley, Jun 06 2005

Status

approved