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

1,8

Comments

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

Links

Table of n, a(n) for n=1..89.

Example

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.

Sequence in context: A367959 A179392 A106730 * A089652 A195467 A112168

Adjacent sequences: A343710 A343711 A343712 * A343714 A343715 A343716

Keyword

nonn,tabf

Author

Jon E. Schoenfield, May 01 2021

Status

approved