A375112 Triangle T(n, k), n > 0, k = 0..n-1, read by rows; T(n, k) is the unique m such that A375110(m+1) = n and A375110(m) mod A375110(m+1) = k.

1, 3, 2, 5, 7, 4, 10, 9, 14, 6, 12, 16, 18, 8, 11, 21, 23, 20, 30, 15, 13, 26, 25, 32, 36, 40, 17, 22, 28, 34, 38, 42, 44, 19, 24, 27, 47, 49, 51, 53, 46, 72, 31, 33, 29, 56, 58, 60, 55, 74, 82, 90, 37, 35, 48, 63, 65, 62, 76, 84, 92, 98, 41, 39, 50, 57, 68, 67, 78, 86, 94, 100, 104, 108, 43, 52, 59, 64

Offset: 1

Author

Rémy Sigrist, Jul 30 2024

Keywords

• nonn
• tabl

Comments

As a flat sequence, this is a permutation of the positive integers with inverse A375113.

Examples

			Triangle T(n, k) begins:
    1;
    3, 2;
    5, 7, 4;
    10, 9, 14, 6;
    12, 16, 18, 8, 11;
    21, 23, 20, 30, 15, 13;
    26, 25, 32, 36, 40, 17, 22;
    28, 34, 38, 42, 44, 19, 24, 27;
    47, 49, 51, 53, 46, 72, 31, 33, 29;
    ...
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10011 (rows for n = 1..141 flattened)
• Rémy Sigrist, Colored representation of the first 1000 rows
• Rémy Sigrist, PARI program
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A375110, A375113 (inverse).

Programs

PARI

\\ See Links section.