The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A331590

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A331590

Square array A(n,k) = A225546(A225546(n) * A225546(k)), n >= 1, k >= 1, read by descending antidiagonals.
(history; published version)

#24 by OEIS Server at Sun May 24 10:20:33 EDT 2020

LINKS

Antti Karttunen, <a href="/A331590/b331590_1.txt">Antidiagonals n = 1..144, flattened</a>

#23 by Peter Luschny at Sun May 24 10:20:33 EDT 2020

STATUS

proposed

approved

Discussion

Sun May 24

10:20

OEIS Server: Installed new b-file as b331590.txt.  Old b-file is now b331590_1.txt.

#22 by Antti Karttunen at Tue Apr 28 15:01:18 EDT 2020

STATUS

editing

proposed

Discussion

Tue Apr 28

16:07

Peter Munn: Good. I look forward to seeing the new graph.

Thu Apr 30

15:02

Antti Karttunen: Peter: Do you see more nice things about https://oeis.org/draft/A334109 ?

Fri May 01

11:34

Peter Munn: (this conversation was continued in A334109)

#21 by Antti Karttunen at Tue Apr 28 14:58:57 EDT 2020

LINKS

Antti Karttunen, <a href="/A331590/b331590_1.txt">Antidiagonals n = 1..400, 144, flattened</a>

Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Monoid.html">Monoid</a>

Discussion

Tue Apr 28

15:01

Antti Karttunen: Peter: I uploaded a shorter b-file (10440 terms) that should show more details in its scatter-plot (for now the "graph"-link still shows the old, big b-file, before the new b-file will be automatically renamed by the server-software after approval). I left the old big b-file as a "data supplement" a-file.

#20 by Antti Karttunen at Tue Apr 28 14:56:29 EDT 2020

LINKS

Antti Karttunen, <a href="/A331590/a331590.txt">Data supplement: n, a(n) computed for n = 1..80200; (antidiagonals n = 1..400)</a>

#19 by Peter Munn at Sun Apr 26 17:36:23 EDT 2020

LINKS

Antti Karttunen, <a href="/A331590/b331590.txt">Antidiagonals n = 1..400, flattened</a>

STATUS

approved

editing

#18 by Sean A. Irvine at Fri Mar 06 15:04:39 EST 2020

STATUS

proposed

approved

#17 by Jon E. Schoenfield at Mon Feb 17 14:29:37 EST 2020

STATUS

editing

proposed

#16 by Jon E. Schoenfield at Mon Feb 17 14:29:33 EST 2020

NAME

Square array A(n,k) = A225546(A225546(n) * A225546(k)), n >= 1, k >= 1, read by descending antidiagonals.

COMMENTS

As a binary operation, this sequence defines a commutative monoid over the positive integers that is isomorphic to multiplication. The self-inverse permutation A225546(.) provides an isomorphism. This monoid therefore has unique factorization. Its primes are the even terms of A050376: 2, 4, 16, 256, ... , , which in standard integer multiplication are the powers of 2 with powers of 2 as exponents.

EXAMPLE

The top left 16x16 16 X 16 corner of the array:

STATUS

proposed

editing

#15 by Peter Munn at Mon Feb 17 02:58:12 EST 2020

STATUS

editing

proposed