A100851 Triangle read by rows: T(n,k) = 2^n * 3^k, 0<=k<=n.

1, 2, 6, 4, 12, 36, 8, 24, 72, 216, 16, 48, 144, 432, 1296, 32, 96, 288, 864, 2592, 7776, 64, 192, 576, 1728, 5184, 15552, 46656, 128, 384, 1152, 3456, 10368, 31104, 93312, 279936, 256, 768, 2304, 6912, 20736, 62208, 186624, 559872, 1679616, 512, 1536

Offset

0,2

Comments

T(n,0) = A000079(n); T(n,n) = A000400(n) = A100852(n,n);

T(n,1) = A007283(n) for n>0;

T(n,2) = A005010(n) for n>1;

row-sums give A016129.

Central terms give A001021. - Reinhard Zumkeller, Mar 04 2006

Links

Table of n, a(n) for n=0..46.

Eric Weisstein's World of Mathematics, Smooth Number

Formula

G.f.: 1/((1 - 2*x)*(1 - 6*x*y)). - Stefano Spezia, Apr 28 2024

Example

From Stefano Spezia, Apr 28 2024: (Start)
Triangle begins:
   1;
   2,  6;
   4, 12,  36;
   8, 24,  72, 216;
  16, 48, 144, 432, 1296;
  32, 96, 288, 864, 2592, 7776;
  ...
(End)

Crossrefs

Cf. A100852, A003586, A065333(T(n, k))=1.

Cf. A000079, A000400, A001021, A005010, A007283, A016129.

Sequence in context: A118416 A046204 A163755 * A351500 A365902 A303823

Adjacent sequences: A100848 A100849 A100850 * A100852 A100853 A100854

Keyword

nonn,tabl

Author

Reinhard Zumkeller, Nov 20 2004

Status

approved