Revision History for A300476
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing all changes.
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#7 by R. J. Mathar at Mon Apr 16 09:45:04 EDT 2018
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#6 by R. J. Mathar at Mon Apr 16 09:44:57 EDT 2018
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| EXAMPLE
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2^2 = 1^4 +1^4 +1^4 +1^4. 7^2 = 1^4 +2^4 +2^4 +2^4. 8^2 = 2^4 +2^4 +2^4 +2^4. 17^2 = 1^2 +2^24 +2^24 +4^4. 18^2=3^4 +3^4 +3^4 +3^4. 23^2 = 1^2 +2^4 +4^4 +4^4.
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| STATUS
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approved
editing
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#5 by R. J. Mathar at Tue Mar 06 14:53:21 EST 2018
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#4 by R. J. Mathar at Tue Mar 06 14:22:26 EST 2018
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#3 by R. J. Mathar at Tue Mar 06 14:22:12 EST 2018
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| DATA
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2, 7, 8, 17, 18, 23, 28, 32, 50, 63, 68, 72, 82, 92, 97, 98, 103, 112, 122, 128, 137, 153, 162, 175, 177, 178, 200, 207, 242, 252, 257, 272, 288, 303, 328, 337, 338, 343, 367, 368, 369, 388, 392, 393, 412, 417, 425, 433, 448, 450, 478, 487, 488, 503, 512, 548, 567, 575, 578, 583, 607, 609, 612, 618, 626, 641, 648, 657, 697, 700, 706, 708, 712, 722, 738, 743, 800, 802, 828, 833, 847, 873, 881, 882, 887, 927, 968, 983, 993
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| COMMENTS
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Numbers w which can be expressed as w^2= = x^4+ +y^4+ +z^4+ +t^4 with x,y,z,t >0. Values that have more than one representation (w=63, 153, 207, 252,...) are listed only once.
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#2 by R. J. Mathar at Tue Mar 06 14:20:10 EST 2018
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| NAME
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allocated for R. J. Mathar
Numbers the square of which can be written as a sum of four nonzero bi-quadratics.
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| DATA
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2, 7, 8, 17, 18, 23, 28, 32, 50, 63, 68, 72, 82, 92, 97, 98, 103, 112, 122, 128, 137, 153, 162, 175, 177, 178, 200, 207, 242, 252, 257, 272, 288, 303, 328, 337, 338, 343, 367, 368, 369, 388, 392, 393, 412, 417, 425, 433, 448, 450, 478, 487, 488, 503, 512, 548, 567, 575, 578, 583, 607, 609, 612, 618, 626, 641, 648, 657, 697, 700, 706, 708, 712, 722, 738, 743, 800, 802, 828, 833, 847, 873, 881, 882, 887, 927, 968, 983, 993
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| OFFSET
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1,1
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| COMMENTS
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Numbers w which can be expressed as w^2=x^4+y^4+z^4+t^4 with x,y,z,t >0. Values that have more than one representation (63, 153, 207, 252,...) are listed only once.
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| LINKS
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A. Alvarado, J.-J. Delorme, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL17/Alvarado/alva3.html">On the diophantine equation x^4+y^4+z^4+t^4=w^2</a>, J. Int. Seq. 17 (2014) # 14.11.5.
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| EXAMPLE
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2^2 = 1^4 +1^4 +1^4 +1^4. 7^2 = 1^4 +2^4 +2^4 +2^4. 8^2 = 2^4 +2^4 +2^4 +2^4. 17^2 = 1^2 +2^2 +2^2 +4^4. 18^2=3^4 +3^4 +3^4 +3^4. 23^2 = 1^2 +2^4 +4^4 +4^4.
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| KEYWORD
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allocated
nonn
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| AUTHOR
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R. J. Mathar, Mar 06 2018
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| STATUS
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approved
editing
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#1 by R. J. Mathar at Tue Mar 06 14:20:10 EST 2018
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| NAME
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allocated for R. J. Mathar
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| KEYWORD
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allocated
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| STATUS
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approved
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