A382194 List of connected graphs that are squares, encoded as in A076184.

0, 1, 7, 31, 63, 239, 255, 511, 1023, 3455, 3887, 3951, 3967, 4095, 7679, 7903, 7935, 8191, 16350, 16351, 16383, 32767, 104063, 104447, 106287, 106351, 111587, 111599, 112511, 112623, 112639, 127791, 127855, 127871, 128879, 128895, 129023, 131071, 237567

Offset: 1

Author

Pontus von Brömssen, Mar 18 2025

Keywords

• nonn
• tabf

Comments

Intersection of A382193 and A382195.

Examples

			As an irregular triangle, where row n >= 1 contains A382180(n) terms:
     0;
     1;
     7;
    31,   63;
   239,  255,  511, 1023;
  3455, 3887, 3951, 3967, 4095, 7679, 7903, 7935, 8191, 16350, 16351, 16383, 32767;
  ...
The diamond graph is connected and isomorphic to the square of the path graph on 4 vertices. The code of the diamond graph is 31, so 31 is a term.
		

Links

• Pontus von Brömssen, Table of n, a(n) for n = 1..1580 (graphs on up to 9 vertices)
• Eric Weisstein's World of Mathematics, Graph Square.
• Wikipedia, Graph power.

Crossrefs

Cf. A076184, A382180, A382193, A382195, A382283.