

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:
Row 1: A002061
Row 2: A002522
Row 3: A014206
Row 4: A059100
Column 1: A002620
Column 2: A024206
Column 3: A014616
Column 4: A004116
Contribution from Clark Kimberling, Nov 03 2009: (Start)
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). (End)


REFERENCES

Clark Kimberling, Doubly interspersed sequences, double interspersions and fractal sequences, The Fibonacci Quarterly 48 (2010) 1320.


LINKS

Table of n, a(n) for n=1..66.


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

A002061, A002522, A014206, A059100, A002620, A024206, A014616, A004116, A163253, A163254.
Cf. A167430. [From Clark Kimberling, Nov 03 2009]
Sequence in context: A087468 A167267 A097286 * A066884 A171429 A191448
Adjacent sequences: A163252 A163253 A163254 * A163256 A163257 A163258


KEYWORD

nonn,tabl


AUTHOR

Clark Kimberling, Jul 24 2009


STATUS

approved



