The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A273671 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing all changes.

A273671

Permutation of natural numbers: a(n) = A270436(A007305(n+1)) * A270437(A047679(n-1)).
(history; published version)

#9 by Alois P. Heinz at Sun May 29 08:01:01 EDT 2016

STATUS

proposed

approved

#8 by Antti Karttunen at Sun May 29 07:13:02 EDT 2016

STATUS

editing

proposed

Discussion

Sun May 29

07:15

Antti Karttunen: Have to think (later) whether there is a natural representation for this as an "entanglement permutation" (with other pair of sequences being odd and even numbers).

#7 by Antti Karttunen at Sun May 29 07:12:07 EDT 2016

COMMENTS

Permutation of natural numbers induced by looking up the position of A007305(n+1)/A047679(n-1) [each fraction in the full Stern-Brocot tree] from in the set of positive rationals as ordered by A270418(n)/A270419(n).

KEYWORD

nonn,look,new

STATUS

approved

editing

Discussion

Sun May 29

07:13

Antti Karttunen: Nice graph, a "Blancmange fir forest".

#6 by N. J. A. Sloane at Fri May 27 21:12:58 EDT 2016

STATUS

proposed

approved

#5 by Antti Karttunen at Fri May 27 16:00:34 EDT 2016

STATUS

editing

proposed

#4 by Antti Karttunen at Fri May 27 15:23:17 EDT 2016

COMMENTS

Permutation of natural numbers induced by looking up the position of A007305(n+1)/A047679(n-1) [each fraction in the full Stern-Brocot tree] from the set of positive rationals as ordered by A270418(n)/A270419(n).

CROSSREFS

Cf. A007305, A047679, A270418, A270419, A270436, A270437.

#3 by Antti Karttunen at Fri May 27 14:34:57 EDT 2016

LINKS

Antti Karttunen, <a href="/A273671/b273671.txt">Table of n, a(n) for n = 1..8192</a>

<a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>

#2 by Antti Karttunen at Fri May 27 14:30:27 EDT 2016

NAME

allocated for Antti KarttunenPermutation of natural numbers: a(n) = A270436(A007305(n+1)) * A270437(A047679(n-1)).

DATA

1, 8, 2, 27, 54, 24, 3, 64, 250, 375, 192, 108, 135, 40, 4, 125, 686, 96, 1029, 1372, 160, 1715, 500, 320, 875, 16000, 448, 189, 3456, 56, 5, 216, 1458, 3993, 3000, 5324, 10985, 8640, 2916, 3645, 12096, 281216, 9317, 7000, 170368, 5103, 1080, 750, 3087, 352, 3430, 3773, 416, 4116, 1125, 576, 1500, 1625, 704, 270, 297, 72, 6, 343

OFFSET

1,2

FORMULA

a(n) = A270436(A007305(n+1)) * A270437(A047679(n-1)).

PROG

(Scheme) (define (A273671 n) (* (A270436 (A007305 (+ 1 n))) (A270437 (A047679 (- n 1)))))

CROSSREFS

Inverse: A273672.

Cf. A007305, A047679, A270436, A270437.

KEYWORD

allocated

nonn

AUTHOR

Antti Karttunen, May 27 2016

STATUS

approved

editing

#1 by Antti Karttunen at Fri May 27 13:11:53 EDT 2016

NAME

allocated for Antti Karttunen

KEYWORD

allocated

STATUS

approved