A368577 Irregular table T(n, k), n >= 0, k = 1..A036497(n), read by rows; the n-th row lists the numbers m such that A331835(m) = n.

0, 1, 2, 3, 4, 5, 6, 8, 7, 9, 10, 16, 11, 12, 17, 13, 18, 14, 19, 20, 15, 21, 32, 22, 24, 33, 23, 25, 34, 64, 26, 35, 36, 65, 27, 28, 37, 66, 29, 38, 40, 67, 68, 30, 39, 41, 69, 128, 31, 42, 48, 70, 72, 129, 43, 44, 49, 71, 73, 130, 256, 45, 50, 74, 80, 131, 132, 257

Offset: 0

Author

Rémy Sigrist, Dec 31 2023

Keywords

• nonn
• base
• tabf

Comments

As a flat sequence, this is a permutation of the nonnegative integers (with inverse A368578).

Examples

			Table T(n, k) begins:
  n   n-th row
  --  ------------------
   0  0
   1  1
   2  2
   3  3, 4
   4  5
   5  6, 8
   6  7, 9
   7  10, 16
   8  11, 12, 17
   9  13, 18
  10  14, 19, 20
  11  15, 21, 32
  12  22, 24, 33
  13  23, 25, 34, 64
  14  26, 35, 36, 65
  15  27, 28, 37, 66
  16  29, 38, 40, 67, 68
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 0..10888 (rows for n = 0..104 flattened)
• Rémy Sigrist, PARI program
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A036497, A200947, A331835, A345101, A345297, A368578 (inverse).

Programs

PARI

\\ See Links section.

Formula

T(n, 1) = A345297(n).

T(n, A036497(n)) = A200947(n).