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A131966 Interspersion associated with the Cantor fractal sequence, A088370. 2
1, 2, 3, 4, 6, 5, 7, 9, 8, 10, 11, 14, 13, 15, 12, 16, 19, 18, 21, 17, 20, 22, 26, 24, 28, 23, 27, 25, 29, 33, 31, 35, 30, 34, 32, 36, 37, 42, 40, 44, 39, 43, 41, 45, 38, 46, 51, 49, 54, 48, 53, 50, 55, 47, 52, 56, 62, 59, 65, 58, 64, 61, 66, 57, 63, 60, 67, 73, 70, 76, 69, 75, 72, 78, 68, 74, 71, 77 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
A permutation of the natural numbers.
REFERENCES
C. Kimberling, "Fractal sequences and interspersions," Ars Combinatoria 45 (1997) 157-168.
LINKS
FORMULA
T is a rectangular array given by antidiagonals: T(i,j) = the j-th index n for which A088370(n) = i.
EXAMPLE
Northwest corner:
1, 2, 4, 7, 11, 16, 22, 29, 37, 46, ...
3, 6, 9, 14, 19, 26, 33, 42, 51, 62, ...
5, 8, 13, 18, 24, 31, 40, 49, 59, 70, ...
10, 15, 21, 28, 35, 44, 54, 65, 76, 89, ...
12, 17, 23, 30, 39, 48, 58, 69, 81, 94, ...
20, 27, 34, 43, 53, 64, 75, 88, 101, 116, ...
25, 32, 41, 50, 61, 72, 85, 98, 112, 127, ...
36, 45, 55, 66, 78, 91, 105, 120, 135, 152, ...
38, 47, 57, 68, 80, 93, 107, 122, 139, 156, ...
52, 63, 74, 87, 100, 115, 130, 147, 165, 184, ...
CROSSREFS
Cf. A088370.
Sequence in context: A275376 A342798 A132284 * A360371 A194970 A194982
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Aug 02 2007
EXTENSIONS
Typo in a(18) corrected by Alois P. Heinz, Jul 26 2019
STATUS
approved

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)