A194357 Triangle of divisors of 6^n, each number occurring once.

1, 2, 3, 6, 4, 9, 12, 18, 36, 8, 24, 27, 54, 72, 108, 216, 16, 48, 81, 144, 162, 324, 432, 648, 1296, 32, 96, 243, 288, 486, 864, 972, 1944, 2592, 3888, 7776, 64, 192, 576, 729, 1458, 1728, 2916, 5184, 5832, 11664, 15552, 23328, 46656, 128, 384, 1152, 2187

Offset: 0

Author

T. D. Noe, Aug 25 2011

Keywords

• nonn
• tabf

Examples

			The triangle has rows beginning with 2^k and ending with 6^k:
  1
  2,  3,  6
  4,  9,  12, 18,  36
  8,  24, 27, 54,  72,  108, 216
  16, 48, 81, 144, 162, 324, 432, 648, 1296
		

Links

• T. D. Noe, Rows for n = 0..100

Crossrefs

Cf. A194356 (divisors of 10^n), A194358 (divisors of 30^n).

Cf. A003586 (3-smooth numbers).

Programs

Mathematica

Join[{{1}}, Table[Complement[Divisors[6^n], Divisors[6^(n-1)]], {n, 9}]]
DeleteDuplicates[Flatten[Divisors[6^Range[0,10]]]] (* Harvey P. Dale, Sep 12 2024 *)