A374799 -id:A374799 - cp's OEIS frontend

A374800 Inverse permutation to A374799.

0, 1, 2, 4, 3, 5, 7, 8, 9, 10, 16, 11, 6, 12, 17, 19, 20, 13, 14, 21, 22, 28, 23, 29, 15, 30, 24, 31, 37, 38, 39, 40, 41, 42, 43, 44, 64, 45, 32, 46, 18, 47, 33, 48, 65, 67, 68, 49, 50, 25, 26, 51, 52, 69, 70, 76, 71, 77, 53, 34, 27, 35, 54, 78, 72, 79, 85, 86

Offset: 0

Rémy Sigrist, Jul 20 2024

			A374799(42) = 33, so a(33) = 42.

Rémy Sigrist, Table of n, a(n) for n = 0..8192
Rémy Sigrist, PARI program
Index entries for sequences that are permutations of the natural numbers

Cf. A374799.

PARI
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A374817 Irregular table T(n, k), n > 0, k = 1..A000005(n), read by rows; the n-th row lists the numbers m such that A003991(m) = n.

Original entry on oeis.org

1, 2, 3, 4, 6, 5, 7, 10, 11, 15, 8, 9, 16, 21, 22, 28, 12, 14, 29, 36, 13, 37, 45, 17, 20, 46, 55, 56, 66, 18, 19, 23, 27, 67, 78, 79, 91, 30, 35, 92, 105, 24, 26, 106, 120, 25, 38, 44, 121, 136, 137, 153, 31, 34, 47, 54, 154, 171, 172, 190, 32, 33, 57, 65, 191, 210

Offset: 1

Rémy Sigrist, Jul 21 2024

A003991 corresponds to a square array, but we consider it here as a flat sequence (when its values are read according along its antidiagonals).

This sequence is a permutation of the positive integers with inverse A374818.

			Table T(n, k) begins:
  n   n-th row
  --  ----------------------
   1  1
   2  2, 3
   3  4, 6
   4  5, 7, 10
   5  11, 15
   6  8, 9, 16, 21
   7  22, 28
   8  12, 14, 29, 36
   9  13, 37, 45
  10  17, 20, 46, 55
  11  56, 66
  12  18, 19, 23, 27, 67, 78
  13  79, 91
  14  30, 35, 92, 105
  15  24, 26, 106, 120

Rémy Sigrist, Table of n, a(n) for n = 1..7069 (rows for n = 1..1000 flattened)
Rémy Sigrist, PARI program
Index entries for sequences that are permutations of the natural numbers

See A374799 for a similar sequence.

Cf. A000005, A000217, A003991, A374818 (inverse).

PARI
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T(n, A000005(n)) = A000217(n).

cp's OEIS Frontend

A374800 Inverse permutation to A374799.

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