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A194357
Triangle of divisors of 6^n, each number occurring once.
5
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
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}]]
DeleteDuplicates[Flatten[Divisors[6^Range[0, 10]]]] (* Harvey P. Dale, Sep 12 2024 *)
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
KEYWORD
nonn,tabf
AUTHOR
T. D. Noe, Aug 25 2011
STATUS
approved