The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A248864 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A248864

Minimal perimeter of an n-dollar construction consisting of 3-dollar triangles and 4-dollar squares.
(history; published version)

#37 by N. J. A. Sloane at Wed Mar 25 01:30:22 EDT 2015

STATUS

editing

approved

#36 by N. J. A. Sloane at Wed Mar 25 01:30:20 EDT 2015

COMMENTS

These are a(19) - a(27) have not been proved to be optimal a(19) - a(27). - Gordon Hamilton, Mar 17 2015

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proposed

editing

#35 by Gordon Hamilton at Tue Mar 24 01:42:35 EDT 2015

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editing

proposed

#34 by Gordon Hamilton at Tue Mar 24 01:38:02 EDT 2015

COMMENTS

These are not proved optimal up to a(19) - a(27). - Gordon Hamilton, Mar 17 2015

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proposed

editing

Discussion

Tue Mar 24

01:42

Gordon Hamilton: Right - a(19) - a (27) are almost certainly optimal too, but I have not gone through them methodically.

#33 by Gordon Hamilton at Tue Mar 17 17:26:01 EDT 2015

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editing

proposed

Discussion

Tue Mar 24

01:00

N. J. A. Sloane: Could you please say which ones ARE known to be optimal? "These are not proved optimal up to a(27)" leaves a lot of leeway, and is a bit imprecise!
Maybe say: a(x)=a(y) are certainly optimal, but the later terms are just conjectures." ?

#32 by Gordon Hamilton at Tue Mar 17 17:25:58 EDT 2015

COMMENTS

These are not proved optimal up to a(27). - _Gordon Hamilton_, Mar 17 2015

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proposed

editing

#31 by Gordon Hamilton at Tue Mar 17 12:18:06 EDT 2015

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editing

proposed

Discussion

Tue Mar 17

12:25

Michel Marcus: Oui ... mais
You've signed the comment that was already there.
Didn't you want to sign the new bit instead ?

#30 by Gordon Hamilton at Tue Mar 17 12:16:51 EDT 2015

COMMENTS

What ratios of triangle cost to square cost make large minimal perimeter shapes dominated by squares? What ratios make them dominated by triangles ? - _Gordon Hamilton_, Mar 17 2015

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proposed

editing

Discussion

Tue Mar 17

12:18

Gordon Hamilton: Okay - now I've got it.  Thanks everyone for all the nudges in the right direction ;-)

#29 by Gordon Hamilton at Tue Mar 17 06:14:42 EDT 2015

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editing

proposed

Discussion

Tue Mar 17

06:27

Michel Marcus: If you add your signature, it should be with the usual format like with ~~~~
And you removed the ?   ??

#28 by Gordon Hamilton at Tue Mar 17 06:14:35 EDT 2015

COMMENTS

What ratios of triangle cost to square cost make large minimal perimeter shapes dominated by squares? What ratios make them dominated by triangles? - Gordon Hamilton

These are not proved optimal up to a(27).

STATUS

approved

editing