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

1,2

Links

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

Formula

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

Example

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;

Mathematica

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

Prog

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

Crossrefs

Cf. A007318, A034870, A034871.

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

Sequence in context: A194672 A034364 A183610 * A261507 A304942 A090011

Adjacent sequences: A261362 A261363 A261364 * A261366 A261367 A261368

Keyword

nonn,tabf,less

Author

Maghraoui Abdelkader, Aug 16 2015

Status

approved