A358086 Inventory of positions ordered by odd parts of terms, as an irregular table; the first row contains 1, subsequent rows contains the 1-based positions of terms with odd part 1, followed by positions of terms with odd part 3, 5, etc. in prior rows flattened.

1, 1, 1, 2, 1, 2, 3, 4, 1, 2, 3, 4, 5, 6, 8, 7, 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 7, 11, 14, 13, 16, 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 23, 32, 7, 11, 14, 19, 22, 26, 13, 21, 25, 16, 28, 30, 24, 29, 31, 27

Offset

1,4

Comments

The n-th row contains A011782(n-1) terms, and is a permutation of 1..A011782(n-1).

Links

Rémy Sigrist, Table of n, a(n) for n = 1..8192

Rémy Sigrist, PARI program

Rémy Sigrist, Scatterplot of the first 2^20 terms

Example

Table begins:
    1,
    1,
    1, 2,
    1, 2, 3, 4,
    1, 2, 3, 4, 5, 6, 8, 7,
    1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 7, 11, 14, 13, 16,
    ...
For n = 6:
the terms in rows 1..5 are: 1, 1, 1, 2, 1, 2, 3, 4, 1, 2, 3, 4, 5, 6, 8, 7,
- terms with odd part 1 are at positions: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15,
- terms with odd part 3 are at positions: 7, 11, 14,
- terms with odd part 5 are at positions: 13,
- terms with odd part 7 are at positions: 16,
- so row 6 is: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 7, 11, 14, 13, 16.

Prog

(PARI) See Links section.

Crossrefs

Cf. A000265, A011782, A342585, A356784, A358085, A358122.

Sequence in context: A074294 A168265 A062050 * A358066 A358085 A357443

Adjacent sequences: A358083 A358084 A358085 * A358087 A358088 A358089

Keyword

nonn,tabf

Author

Rémy Sigrist, Oct 30 2022

Status

approved