The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A005767

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A005767

Solutions n to n^2 = a^2 + b^2 + c^2 (a,b,c > 0).
(history; published version)

#24 by R. J. Mathar at Tue Aug 15 12:49:59 EDT 2023

STATUS

editing

approved

#23 by R. J. Mathar at Tue Aug 15 12:49:55 EDT 2023

FORMULA

A169580(n) = a(n)^2. - R. J. Mathar, Aug 15 2023

STATUS

approved

editing

#22 by Charles R Greathouse IV at Tue Sep 01 14:31:52 EDT 2015

STATUS

editing

approved

#21 by Charles R Greathouse IV at Tue Sep 01 14:31:49 EDT 2015

LINKS

T. D. Noe, <a href="/A005767/b005767.txt">Table of n, a(n) for n = 1..1000</a>

FORMULA

a(n) = n + 2*log_2(n) + O(1). - Charles R Greathouse IV, Sep 01 2015

KEYWORD

nonn,easy

STATUS

approved

editing

#20 by Michel Marcus at Sat Dec 27 03:17:35 EST 2014

STATUS

reviewed

approved

#19 by Joerg Arndt at Sat Dec 27 02:59:18 EST 2014

STATUS

proposed

reviewed

#18 by Michel Marcus at Sat Dec 27 01:26:33 EST 2014

STATUS

editing

proposed

#17 by Michel Marcus at Sat Dec 27 01:26:23 EST 2014

REFERENCES

O. Fraser and B. Gordon, On representing a square as the sum of three squares, Amer. Math. Monthly, 76 (1969), 922-923.

LINKS

O. Fraser and B. Gordon, <a href="http://www.jstor.org/stable/2317949">On representing a square as the sum of three squares</a>, Amer. Math. Monthly, 76 (1969), 922-923.

AUTHOR

N. J. A. Sloane, RALPH PETERSON Ralph Peterson (ralphp(AT)LIBRARYlibrary.NRLnrl.NAVYnavy.MILmil)

STATUS

proposed

editing

#16 by Jon E. Schoenfield at Sat Dec 27 00:09:42 EST 2014

STATUS

editing

proposed

#15 by Jon E. Schoenfield at Sat Dec 27 00:09:32 EST 2014

MATHEMATICA

z=100; lst={}; Do[a2=a^2; Do[b2=b^2; Do[c2=c^2; e2=a2+b2+c2; e=Sqrt[e2]; If[IntegerQ[e]&&e<=z, AppendTo[lst, e]], {c, b, 1, -1}], {b, a, 1, -1}], {a, 1, z}]; Union@lst [From _(* _Vladimir Joseph Stephan Orlovsky_, May 19 2010] *)

EXTENSIONS

More terms from _T. D. Noe, _, Mar 04 2010

STATUS

approved

editing