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Search: id:A048851
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| A048851 |
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Length of hypotenuse squared in right triangle formed by a prime spiral plotted in cartesian coordinates. |
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+0
4
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| 8, 13, 34, 74, 170, 290, 458, 650, 890, 1370, 1802, 2330, 3050, 3530, 4058, 5018, 6290, 7202, 8210, 9530, 10370, 11570, 13130, 14810, 17330, 19610, 20810, 22058, 23330, 24650, 28898, 33290, 35930, 38090, 41522, 45002, 47450, 51218, 54458
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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H. E. Huntley, The Divine Proportion, A Study in Mathematical Beauty. New York: Dover, 1970. See Chapter 13, Spira Mirabilis, especially Fig. 13-5, page 173.
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FORMULA
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To begin prime spiral, plot (2, 0), (0, 2). Hypotenuse is c^2=a^2+b^2, or 8=4+4. a(1) = 8.
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EXAMPLE
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a(2)=13 because c^2=a^2+b^2 and 13=4+9.
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CROSSREFS
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A006094.
Sequence in context: A057097 A096371 A063585 this_sequence A039298 A043121 A043901
Adjacent sequences: A048848 A048849 A048850 this_sequence A048852 A048853 A048854
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KEYWORD
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easy,nonn
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AUTHOR
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Enoch Haga (Enokh(AT)comcast.net)
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