

A163255


An interspersion: the order array of A163254.


8



1, 3, 2, 7, 5, 4, 13, 10, 8, 6, 21, 17, 14, 11, 9, 31, 26, 22, 18, 15, 12, 43, 37, 32, 27, 23, 19, 16, 57, 50, 44, 38, 33, 28, 24, 20, 73, 65, 58, 51, 45, 39, 34, 29, 25, 91, 82, 74, 66, 59, 52, 46, 40, 35, 30, 111, 101, 92, 83, 75, 67, 60, 53, 47, 41, 36
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OFFSET

1,2


COMMENTS

A permutation of the natural numbers.
Except for initial terms, rows 1 to 4 are A002061, A002522, A014206, A059100 and columns 1 to 4 are A002620, A024206, A014616, A004116.
This is the interspersion of the fractal sequence A167430; i.e., row n of this array consists of the numbers k such that n=A167430(k).  Clark Kimberling, Nov 03 2009


LINKS

Table of n, a(n) for n=1..66.
Clark Kimberling, Doubly interspersed sequences, double interspersions and fractal sequences, The Fibonacci Quarterly 48 (2010) 1320.


EXAMPLE

Corner:
1....3....7...13
2....5...10...17
4....8...14...22
To obtain A163255 from A163254, replace each term of A163254 by its rank when all the terms of A163254 are arranged in increasing order.


CROSSREFS

Cf. A002061, A002522, A014206, A059100, A002620, A024206, A014616, A004116, A163253, A163254.
Cf. A167430. [From Clark Kimberling, Nov 03 2009]
Sequence in context: A255975 A167267 A097286 * A066884 A171429 A191448
Adjacent sequences: A163252 A163253 A163254 * A163256 A163257 A163258


KEYWORD

nonn,tabl


AUTHOR

Clark Kimberling, Jul 24 2009


STATUS

approved



