A374799 Irregular table T(n, k), n >= 0, k = 1..A048883(n), read by rows; the n-th row lists the numbers m such that A003986(m) = n.

0, 1, 2, 4, 3, 5, 12, 6, 7, 8, 9, 11, 13, 17, 18, 24, 10, 14, 40, 15, 16, 19, 20, 22, 26, 49, 50, 60, 21, 23, 25, 27, 38, 42, 59, 61, 84, 28, 29, 30, 31, 32, 33, 34, 35, 37, 39, 41, 43, 47, 48, 51, 52, 58, 62, 70, 71, 72, 73, 83, 85, 97, 98, 112, 36, 44, 144

Offset: 0

Author

Rémy Sigrist, Jul 20 2024

Keywords

• nonn
• base
• look
• tabf

Comments

A003986 corresponds to a square array, but we consider it here as a flat sequence (when its values are read according along its antidiagonals).

As a flat sequence, this is a permutation of the nonnegative integers with inverse A374800.

Examples

			Table T(n, k) begins:
     n  n-th row
     -  --------
     0  0,
     1  1, 2, 4;
     2  3, 5, 12;
     3  6, 7, 8, 9, 11, 13, 17, 18, 24;
     4  10, 14, 40;
     5  15, 16, 19, 20, 22, 26, 49, 50, 60;
     6  21, 23, 25, 27, 38, 42, 59, 61, 84;
        ...
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..16383
• Rémy Sigrist, PARI program
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

See A374817 for a similar sequence.

Cf. A000217, A003986, A046092, A048883, A374800 (inverse).

Programs

PARI

\\ See Links section.

Formula

T(n, 1) = A000217(n).

T(n, A048883(n)) = A046092(n).