A261365 Prime-numbered rows of Pascal's triangle.

1, 2, 1, 1, 3, 3, 1, 1, 5, 10, 10, 5, 1, 1, 7, 21, 35, 35, 21, 7, 1, 1, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11, 1, 1, 13, 78, 286, 715, 1287, 1716, 1716, 1287, 715, 286, 78, 13, 1, 1, 17, 136, 680, 2380, 6188, 12376, 19448, 24310, 24310, 19448, 12376, 6188, 2380, 680, 136, 17, 1, 1, 19, 171, 969, 3876, 11628, 27132, 50388, 75582, 92378, 92378, 75582, 50388, 27132, 11628, 3876, 969, 171, 19, 1

Offset: 1

Author

Maghraoui Abdelkader, Aug 16 2015

Keywords

• nonn
• tabf
• less

Examples

			1,2,1;
1,3,3,1;
1,5,10,10,5,1;
1,7,21,35,35,21,7,1;
1,11,55,165,330,462,462,330,165,55,11,1;
		

Links

• Maghraoui Abdelkader, Table of n, a(n) for n = 1..4273

Crossrefs

Cf. A007318, A034870, A034871.

Cf. A000040 (2nd column), A008837 (3rd column).

Programs

Mathematica

Table[Binomial[Prime@ n, k], {n, 8}, {k, 0, Prime@ n}] // Flatten (* Michael De Vlieger, Aug 20 2015 *)

PARI

forprime(n=2, 20, for(k=0,n,print1(binomial(n,k),", ")))

Formula

T(n,k) = binomial(prime(n), k).