The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A358614 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A358614

Decimal expansion of 9*sqrt(2)/32.
(history; published version)

#52 by Michael De Vlieger at Sat Dec 17 20:02:05 EST 2022

STATUS

reviewed

approved

#51 by Michel Marcus at Sat Dec 17 14:26:31 EST 2022

STATUS

proposed

reviewed

#50 by Bernard Schott at Fri Dec 16 04:45:19 EST 2022

STATUS

editing

proposed

#49 by Bernard Schott at Fri Dec 16 04:44:47 EST 2022

FORMULA

Equals (3/16) * A230981 = (3/32) * A010474 = (9/32) * A002193 = (9/16) * A010503.

CROSSREFS

Cf. A002193, A010474, A010503, A230981.

STATUS

proposed

editing

#48 by Bernard Schott at Wed Dec 14 04:04:51 EST 2022

STATUS

editing

proposed

#47 by Bernard Schott at Wed Dec 14 04:03:48 EST 2022

COMMENTS

This constant is the answer to the 3rd problem, proposed by Ireland during the 47th International Mathematical Olympiad in 2006 at Ljubljana, Slovenia (see links).

FORMULA

Equals (3/16) * A230981 = (3/32) * A010474 = (9/32) * A002193.

STATUS

proposed

editing

#46 by Michel Marcus at Mon Dec 12 13:36:49 EST 2022

STATUS

editing

proposed

#45 by Michel Marcus at Mon Dec 12 13:36:28 EST 2022

COMMENTS

|a*b*(a^2 - b^2 ) + b*c*(b^2 - c^2 ) + c*a*(c^2 - a^2 )| <= M * ( a^2 + b^2 + c^2)^2

Equivalently |(a - b)(b - c)(c - a)(a + b + c)| / ( a^2 + b^2 + c^2)^2 <= M with (a,b,c) != (0,0,0).

STATUS

proposed

editing

#44 by Bernard Schott at Sat Dec 10 03:28:42 EST 2022

STATUS

editing

proposed

#43 by Bernard Schott at Sat Dec 10 03:28:00 EST 2022

FORMULA

Equals (3/16) * A230981 = (3/32) * A010474.

CROSSREFS

Cf. A002193, A010474, A230981.

STATUS

proposed

editing