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A261365 Prime-numbered rows of Pascal's triangle. 1

%I

%S 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,

%T 462,330,165,55,11,1,1,13,78,286,715,1287,1716,1716,1287,715,286,78,

%U 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

%N Prime-numbered rows of Pascal's triangle.

%H Maghraoui Abdelkader, <a href="/A261365/b261365.txt">Table of n, a(n) for n = 1..4273</a>

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

%e 1,2,1;

%e 1,3,3,1;

%e 1,5,10,10,5,1;

%e 1,7,21,35,35,21,7,1;

%e 1,11,55,165,330,462,462,330,165,55,11,1;

%t Table[Binomial[Prime@ n, k], {n, 8}, {k, 0, Prime@ n}] // Flatten (* _Michael De Vlieger_, Aug 20 2015 *)

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

%Y Cf. A007318, A034870, A034871.

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

%K nonn,tabf,less

%O 1,2

%A _Maghraoui Abdelkader_, Aug 16 2015

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Last modified January 22 04:27 EST 2020. Contains 331133 sequences. (Running on oeis4.)