A122819 Array read by rows in which the n-th row contains smallest odd numbers in increasing order of all possible prime signatures with n divisors.

1, 3, 9, 15, 27, 81, 45, 243, 729, 105, 135, 2187, 225, 6561, 405, 19683, 59049, 315, 675, 1215, 177147, 531441, 3645, 1594323, 2025, 4782969, 945, 1155, 3375, 10935, 14348907, 43046721, 1575, 6075, 32805, 129140163, 387420489, 2835, 10125, 98415

Offset: 1

Author

Ray Chandler, Sep 22 2006

Keywords

• nonn
• tabf

Comments

n-th row contains A001055(n) terms.

First item of each row gives A038547.

Examples

			Table begins:
  1,
  3,
  9,
  15, 27,
  81,
  45, 243,
  729,
  105, 135, 2187,
  ...
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..7314 (rows n=1..1000, flattened)

Crossrefs

Cf. A001055, A038547, A077569, A162247.

Programs

Mathematica

row[n_] := Module[{e = f[n] - 1}, Sort[Times @@ (Prime[Range[2, Length[#]+1]]^Reverse[#]) & /@ e]]; Table[row[n], {n, 1, 25}] // Flatten (* Amiram Eldar, Jun 28 2025 using the function f by T. D. Noe at A162247 *)