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

1,2

Comments

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

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

Example

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;
    ...

Prog

(PARI) \\ See Links section.

Crossrefs

Cf. A375110, A375113 (inverse).

Sequence in context: A182846 A292962 A375306 * A069196 A222209 A118320

Adjacent sequences: A375109 A375110 A375111 * A375113 A375114 A375115

Keyword

nonn,tabl

Author

Rémy Sigrist, Jul 30 2024

Status

approved