A194360 Triangle of divisors of 105^n, each number occurring once.

1, 3, 5, 7, 15, 21, 35, 105, 9, 25, 45, 49, 63, 75, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, 11025, 27, 125, 135, 189, 343, 375, 675, 875, 945, 1029, 1125, 1323, 1715, 2625, 3087, 3375, 4725, 5145, 6125, 6615, 7875, 8575, 9261, 15435

Offset: 0

Author

T. D. Noe, Sep 08 2011

Keywords

• nonn
• tabf

Comments

The length of row k is A003215(k), the centered hexagonal numbers, 3k^2 + 3k + 1.

Examples

			The triangle has rows beginning with 3^k and ending with 105^k:
1
3, 5, 7, 15, 21, 35, 105
9, 25, 45, 49, 63, 75, 147, 175, 225, 245, 315, 441, 525, 735, 1225, 1575, 2205, 3675, 11025
		

Links

• T. D. Noe, Rows n = 0..20

Crossrefs

Cf. A194356, A194357, A194358, A194359.

Cf. A108347 (numbers of the form (3^i)*(5^j)*(7^k))

Programs

Mathematica

Join[{{1}}, Table[Complement[Divisors[105^n], Divisors[105^(n-1)]], {n, 9}]]