A224531 Triangle in which row n > 1 has the n values x such that phi(x) = A007374(n), We define the first row to be 0.

0, 1, 2, 3, 4, 6, 5, 8, 10, 12, 15, 16, 20, 24, 30, 13, 21, 26, 28, 36, 42, 51, 64, 68, 80, 96, 102, 120, 37, 57, 63, 74, 76, 108, 114, 126, 41, 55, 75, 82, 88, 100, 110, 132, 150, 35, 39, 45, 52, 56, 70, 72, 78, 84, 90, 65, 104, 105, 112, 130, 140, 144, 156, 168, 180, 210

Offset: 1

Author

T. D. Noe, Apr 11 2013

Keywords

• nonn
• tabl

Examples

			Triangle:
0,
1, 2,
3, 4, 6,
5, 8, 10, 12,
15, 16, 20, 24, 30,
13, 21, 26, 28, 36, 42,
51, 64, 68, 80, 96, 102, 120,
37, 57, 63, 74, 76, 108, 114, 126,
41, 55, 75, 82, 88, 100, 110, 132, 150
		

Links

• T. D. Noe, Rows n = 1..100 of triangle, flattened
• D. Bressoud, CNT.m Computational Number Theory Mathematica package.

Crossrefs

Cf. A066420, A224532 (numbers in the first column and diagonal).

Programs

Mathematica

Needs["CNT`"]; nn = 10; t = Table[{}, {nn}]; n = 0; t[[1]] = {0}; left = nn - 1; While[left > 0, n++; p = PhiInverse[n]; cnt = Length[p]; If[cnt <= nn && t[[cnt]] == {}, t[[cnt]] = p; left--]]; t