%I #15 Jun 03 2017 19:02:24

%S 1,3,6,9,18,36,27,54,108,216,81,162,324,648,1296,243,486,972,1944,

%T 3888,7776,729,1458,2916,5832,11664,23328,46656,2187,4374,8748,17496,

%U 34992,69984,139968,279936,6561,13122,26244,52488,104976,209952,419904,839808

%N Triangle read by rows: T(n,k) = 2^k * 3^n, 0 <= k <= n.

%C T(n,0) = A000244(n); T(n,n) = A000400(n) = A100851(n,n);

%C T(n,1) = A008776(n) for n>0;

%C T(n,2) = A003946(n+1) for n>1;

%C T(n,3) = A005051(n+1) for n>2;

%C T(n,n-1) = A081341(n+1) for n>0;

%C row sums give A016137.

%H Michael De Vlieger, <a href="/A100852/b100852.txt">Table of n, a(n) for n = 0..10010</a> (Rows 0 <= n <= 140).

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/SmoothNumber.html">Smooth Number</a>

%F G.f.: 1/((1 - 3*x)(1 - 6*x*y)). - _Ilya Gutkovskiy_, Jun 03 2017

%e Triangle begins:

%e 1;

%e 3, 6;

%e 9, 18, 36;

%e 27, 54, 108, 216;

%e 81, 162, 324, 648, 1296;

%e ...

%t Table[2^k*3^n, {n, 0, 140}, {k, 0, n}] // Flatten (* _Michael De Vlieger_, Mar 06 2017 *)

%o (PARI) for(n=0, 8, for(k=0, n, print1(2^k*3^n", "))) \\ _Satish Bysany_, Mar 06 2017

%Y Cf. A100851, A003586, A065333(T(n, k))=1.

%K nonn,tabl

%O 0,2

%A _Reinhard Zumkeller_, Nov 20 2004