A362180 Irregular table read by rows in which the n-th row consists of all the numbers m such that A323410(m) = n.

6, 10, 12, 15, 14, 20, 21, 18, 24, 28, 35, 22, 36, 40, 33, 45, 26, 44, 56, 39, 55, 63, 52, 72, 65, 77, 34, 48, 88, 51, 91, 99, 38, 68, 80, 104, 57, 85, 117, 30, 76, 112, 95, 119, 143, 46, 136, 144, 69, 133, 153, 50, 92, 152, 176, 75, 115, 171, 187, 54, 100, 208

Offset

2,1

Comments

The offset is 2 since A323410(p) = 1 for all prime powers p (A246655).

The 0th row consists of one term, 1, since 1 is the only solution to A323410(x) = 0.

Links

Amiram Eldar, Table of n, a(n) for n = 2..12684 (rows 2..1000)

Example

The table begins:
  n   n-th row
  --  -----------
   2
   3
   4  6;
   5
   6  10, 12;
   7  15;
   8  14, 20;
   9  21;
  10  18, 24, 28;
  11  35;
  12  22, 36, 40;

Mathematica

ucototient[n_] := n - Times @@ (Power @@@ FactorInteger[n] - 1); ucototient[1] = 0;
With[{max = 28}, ucot = Table[ucototient[n], {n, 1, max^2}]; row[n_] := Position[ucot, n] // Flatten; Table[row[n], {n, 2, max}] // Flatten]

Crossrefs

Cf. A246655, A323410, A362181 (row lengths).

Similar sequences: A032447, A361966, A362213.

Sequence in context: A355791 A108315 A134616 * A081390 A210578 A274426

Adjacent sequences: A362177 A362178 A362179 * A362181 A362182 A362183

Keyword

nonn,tabf

Author

Amiram Eldar, Apr 10 2023

Status

approved