A381624 -id:A381624 - cp's OEIS frontend

A381625 a(n) is the number of occurrences of n in A381624.

1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 3, 2, 2, 2, 2, 2, 2, 3, 2, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 2, 2, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 4, 3, 3, 3, 4, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 3

Offset: 0

Rémy Sigrist, Mar 02 2025

All terms are positive (see A169683).

			The number 7 appears twice in A381624, so a(7) = 2.

Rémy Sigrist, Table of n, a(n) for n = 0..8192
Rémy Sigrist, PARI program

Cf. A169683, A381624.

PARI
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a(n) > 0.

A381627 Irregular table T(n, k), n >= 0, k = 1..A381625(n): the n-th row lists the numbers m such that A381624(m) = n.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 9, 8, 10, 11, 12, 13, 14, 15, 16, 18, 17, 19, 27, 20, 28, 21, 29, 22, 30, 23, 31, 24, 32, 25, 33, 26, 34, 36, 35, 37, 38, 39, 40, 41, 42, 43, 45, 44, 46, 54, 47, 55, 81, 48, 56, 82, 49, 57, 83, 50, 58, 84, 51, 59, 85, 52, 60, 86, 53, 61, 63, 87

Offset: 0

Rémy Sigrist, Mar 02 2025

As a flat sequence, this is a permutation of the nonnegative integers with inverse A381628.

			Table T(n, k) begins:
  n   n-th row
  --  ----------
   0  0
   1  1
   2  2
   3  3
   4  4
   5  5
   6  6
   7  7, 9
   8  8, 10
   9  11
  10  12
  11  13
  12  14
  13  15
  14  16, 18
  15  17, 19, 27
  16  20, 28

Rémy Sigrist, Table of n, a(n) for n = 0..9890
Rémy Sigrist, PARI program
Index entries for sequences that are permutations of the natural numbers

Cf. A381624, A381625, A381628 (inverse).

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cp's OEIS Frontend

A381625 a(n) is the number of occurrences of n in A381624.

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