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Revision History for A340164

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Showing entries 1-10 | older changes
Rotationally ambigrammatic square numbers with no trailing zeros.
(history; published version)
#35 by N. J. A. Sloane at Fri Jan 01 12:28:42 EST 2021
STATUS

proposed

approved

#34 by Jon E. Schoenfield at Thu Dec 31 19:16:16 EST 2020
STATUS

editing

proposed

#33 by Jon E. Schoenfield at Thu Dec 31 19:16:04 EST 2020
COMMENTS

A rotationally ambigrammatic number (A045574) is one that can be rotated by 180 degrees resulting in a readable, most often new number. Such numbers, by definition , can only contain the digits; 0, 1, 6, 8, 9.

If the number once rotated happens to be the same number (ege.g. , 6889) this it is a strobogrammatic number. Those present here are the terms of A018848.

Numbers such as 100, which is a square with trailing zero's zeros, have been excluded. Such numbers rotated by 180 degrees would be written with leading zeros. Typically this is not the way we write numbers.

STATUS

proposed

editing

#32 by Kevin Ryde at Wed Dec 30 23:11:19 EST 2020
STATUS

editing

proposed

Discussion
Wed Dec 30
23:29
Philip Mizzi: @Kevin: All good with me. Thank you.
#31 by Kevin Ryde at Wed Dec 30 23:10:39 EST 2020
COMMENTS

If the number once rotated happens to be the same number (eg. 6889) this is a strobogrammatic number (. Those present here are A018848); a subset of ambigrammatic.

STATUS

proposed

editing

Discussion
Wed Dec 30
23:11
Kevin Ryde: My suggestion for the strobogrammatic squares words.
#30 by Rémy Sigrist at Wed Dec 30 16:55:46 EST 2020
STATUS

editing

proposed

#29 by Rémy Sigrist at Wed Dec 30 16:54:09 EST 2020
COMMENTS

This sequence is infinite as it contains (10^k + 3)^2 and (3*10^k + 1)^2 for any k >= 0 (note also that A004086((10^k + 3)^2 turned upside down is ) = (3*10^k + 1)^2 and vice versa when k > 0). - Rémy Sigrist, Dec 30 2020

CROSSREFS

Cf. A004086, A339996 (square roots).

STATUS

proposed

editing

#28 by Rémy Sigrist at Wed Dec 30 13:59:20 EST 2020
STATUS

editing

proposed

#27 by Rémy Sigrist at Wed Dec 30 13:58:42 EST 2020
COMMENTS

This sequence is infinite as it contains (10^k + 3)^2 and (3*10^k + 1)^2 for any k >= 0 (note also that (10^k + 3)^2 turned upside down is (3*10^k + 1)^2 and vce vice versa when k > 0). - Rémy Sigrist, Dec 30 2020

Discussion
Wed Dec 30
13:59
Rémy Sigrist: fixed my comment :-)
#26 by Rémy Sigrist at Wed Dec 30 13:58:16 EST 2020
COMMENTS

This sequence is infinite as it contains (10^k + 3)^2 and (3*10^k + 1)^2 for any k >= 0 (note also that A004086((10^k + 3)^2) = turned upside down is (3*10^k + 1)^2 and vce versa when k > 0). - Rémy Sigrist, Dec 30 2020

CROSSREFS

Cf. A004086, A339996 (square roots).