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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.
2
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
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
KEYWORD
nonn,tabf
AUTHOR
Rémy Sigrist, Oct 30 2022
STATUS
approved