A081371 Binomial coefficients C[n,j] reduced modulo j, j=1,...n; read by rows, j=0 is omitted because of mod[n,0].

0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 3, 1, 1, 0, 1, 2, 3, 1, 1, 1, 0, 0, 2, 2, 1, 4, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 5, 1, 1, 0, 1, 0, 2, 2, 0, 1, 5, 1, 1, 1, 0, 0, 1, 3, 2, 0, 1, 7, 4, 6, 1, 1, 0, 0, 1, 3, 2, 0, 1, 7, 4, 6, 1, 1, 1, 0, 1, 1, 1, 2, 3, 2, 3, 4, 1, 1, 7, 1, 1

Offset: 1

Author

Labos Elemer, Mar 21 2003

Keywords

• nonn
• tabl

Examples

			Triangle begins:
0,
0,1,
0,1,1,
0,0,1,1,
0,0,1,1,1,
0,1,2,3,1,1,
0,1,2,3,1,1,1,
		

Links

• Michel Marcus, Rows n = 1..100 of triangle, flattened

Crossrefs

Cf. A007318.

Programs

Mathematica

Flatten[Table[Table[Mod[Binomial[n, j], j], {j, 1, n}], {n, 1, 50}], 1]

PARI

tabl(nn)=for(n=1, nn, for (k=1, n, print1(binomial(n, k) % k, ", ")); print) \\ Michel Marcus, Feb 01 2017