A393281 The absolute difference triangle of A393273 read by antidiagonals downwards.

2, 5, 3, 11, 6, 3, 17, 6, 0, 3, 3, 14, 8, 8, 5, 19, 16, 2, 6, 2, 3, 13, 6, 10, 8, 2, 0, 3, 7, 6, 0, 10, 2, 0, 0, 3, 31, 24, 18, 18, 8, 6, 6, 6, 3, 29, 2, 22, 4, 14, 6, 0, 6, 0, 3, 23, 6, 4, 18, 14, 0, 6, 6, 0, 0, 3, 37, 14, 8, 4, 14, 0, 0, 6, 0, 0, 0, 3

Offset

1,1

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10011

Rémy Sigrist, Colored representation of the first 982 rows (white pixels correspond to 0's, blue pixels to 6's, red pixels to 3's, and black pixels to other values)

Rémy Sigrist, PARI program

Index entries for sequences related to Gilbreath conjecture and transform

Formula

T(n, 1) = A393273(n).

T(n, k) = abs(T(n, k-1) - T(n-1, k-1)) for k = 2..n.

Example

Triangle begins:
                           2
                         5,  3
                      11,  6,  3
                    17,  6,  0,  3
                   3, 14,  8,  8,  5
                19, 16,  2,  6,  2,  3
              13,  6, 10,  8,  2,  0,  3
             7,  6,  0, 10,  2,  0,  0,  3
          31, 24, 18, 18,  8,  6,  6,  6,  3
        29,  2, 22,  4, 14,  6,  0,  6,  0,  3
      23,  6,  4, 18, 14,  0,  6,  6,  0,  0,  3
    37, 14,  8,  4, 14,  0,  0,  6,  0,  0,  0,  3
  ...

Prog

(PARI) \\ See Links section.

Crossrefs

Cf. A036262, A393273.

Sequence in context: A110315 A275677 A221183 * A178174 A094744 A229608

Adjacent sequences: A393278 A393279 A393280 * A393282 A393283 A393284

Keyword

nonn,tabl

Author

Rémy Sigrist, Feb 08 2026

Status

approved