The On-Line Encyclopedia of Integer Sequences (OEIS)

The OEIS is supported by the many generous donors to the OEIS Foundation.

Revision History for A054240

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
newer changes | Showing entries 11-20 | older changes

A054240

Bit-interleaved number addition table; like binary addition but carries shift 2 instead of 1; addition base sqrt(2).
(history; published version)

#16 by Peter Munn at Thu Dec 12 20:25:09 EST 2019

STATUS

editing

proposed

#15 by Peter Munn at Tue Dec 10 21:13:00 EST 2019

FORMULA

A(A000695(n) + 2*A000695(m), k) = A(A000695(n), k) + A(2*A000695(m), k) - k.

#14 by Peter Munn at Tue Dec 10 20:59:33 EST 2019

FORMULA

From Peter Munn, Dec 10 2019: (Start)

A(m,0) = A(0,m) = m.

A(n,k) = A(k,n).

A(n, A(m,k)) = A(A(n,m), k).

A(m,m) = 4*m.

A(2*n, 2*k) = 2*A(n,k).

A(A000695(n), A000695(k)) = A000695(n+k).

A(A000695(n), 2*A000695(k)) = A000695(n) + 2*A000695(k).

A(A057300(n), A057300(k)) = A057300(A(n,k)).

(End)

CROSSREFS

Cf. A000695, A054239, A057300, A062880.

STATUS

approved

editing

#13 by Reinhard Zumkeller at Mon Jan 27 08:54:05 EST 2014

STATUS

editing

approved

#12 by Reinhard Zumkeller at Mon Jan 27 08:37:53 EST 2014

KEYWORD

easy,nonn,tabl,look

STATUS

approved

editing

#11 by Charles R Greathouse IV at Sat Jul 13 12:02:29 EDT 2013

LINKS

_Reinhard Zumkeller_, , <a href="/A054240/b054240.txt">Antidiagonals n=0..125 of square array, flattened</a>

Discussion

Sat Jul 13

12:02

OEIS Server: https://oeis.org/edit/global/1934

#10 by N. J. A. Sloane at Fri Feb 22 21:37:15 EST 2013

LINKS

_Reinhard Zumkeller, _, <a href="/A054240/b054240.txt">Antidiagonals n=0..125 of square array, flattened</a>

PROG

-- _Reinhard Zumkeller, _, Dec 03 2011

Discussion

Fri Feb 22

21:37

OEIS Server: https://oeis.org/edit/global/1866

#9 by Russ Cox at Fri Mar 30 17:38:10 EDT 2012

AUTHOR

_Marc LeBrun (mlb(AT)well.com), _, Feb 07 2000

Discussion

Fri Mar 30

17:38

OEIS Server: https://oeis.org/edit/global/183

#8 by N. J. A. Sloane at Sat Dec 03 22:35:49 EST 2011

STATUS

proposed

approved

#7 by Reinhard Zumkeller at Sat Dec 03 17:18:12 EST 2011

STATUS

editing

proposed