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

0,2

Links

T. D. Noe, Rows for n = 0..100

Example

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

Mathematica

Join[{{1}}, Table[Complement[Divisors[6^n], Divisors[6^(n-1)]], {n, 9}]]

Crossrefs

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

Cf. A003586 (3-smooth numbers).

Sequence in context: A348395 A320123 A363444 * A165783 A354046 A368275

Adjacent sequences: A194354 A194355 A194356 * A194358 A194359 A194360

Keyword

nonn,tabf

Author

T. D. Noe, Aug 25 2011

Status

approved