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A100851
Triangle read by rows: T(n,k) = 2^n * 3^k, 0<=k<=n.
3
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
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
KEYWORD
nonn,tabl
AUTHOR
Reinhard Zumkeller, Nov 20 2004
STATUS
approved