A343713 Table read by rows: row n lists the residues of the triangular numbers modulo n.

0, 0, 1, 0, 1, 0, 1, 2, 3, 0, 1, 3, 0, 1, 3, 4, 0, 1, 3, 6, 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 3, 6, 0, 1, 3, 5, 6, 8, 0, 1, 3, 4, 6, 10, 0, 1, 3, 4, 6, 7, 9, 10, 0, 1, 2, 3, 6, 8, 10, 0, 1, 3, 6, 7, 8, 10, 13, 0, 1, 3, 6, 10, 13, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

Offset: 1

Author

Jon E. Schoenfield, May 01 2021

Keywords

• nonn
• tabf

Comments

A117484(n) is the number of terms in row n.

Examples

			Table begins:
  row  terms
  ---  -----------------------------
    1  0
    2  0,  1
    3  0,  1
    4  0,  1,  2,  3
    5  0,  1,  3
    6  0,  1,  3,  4
    7  0,  1,  3,  6
    8  0,  1,  2,  3,  4,  5,  6,  7
    9  0,  1,  3,  6
   10  0,  1,  3,  5,  6,  8
   11  0,  1,  3,  4,  6, 10
   12  0,  1,  3,  4,  6,  7,  9, 10
   13  0,  1,  2,  3,  6,  8, 10
   14  0,  1,  3,  6,  7,  8, 10, 13
   15  0,  1,  3,  6, 10, 13
		

Crossrefs

Cf. A000217, A117484.