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Search: id:A007475
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| A007475 |
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Sum of A001032(n) consecutive squares starting with a(n)^2 is a square.
(Formerly M3043)
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+0
3
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| 1, 3, 18, 7, 1, 25, 7, 539, 25, 7, 22, 442, 225, 192, 13, 15, 26914, 244, 50, 5552, 30, 553, 7, 4493, 83342, 83, 65, 775, 3807, 64, 556, 20, 106, 132, 2277, 15, 1788, 5063, 27, 11320, 280, 358, 1805, 210, 9985, 802, 183, 71752, 10123, 16806, 94707486, 1081
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Laurent Beeckmans, Squares expressible as sum of consecutive squares, Amer. Math. Monthly, 101 (1994), 437-442.
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LINKS
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Index entries for sequences related to sums of squares
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EXAMPLE
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a(2)=18 because A001032(2)=11 and the sum of 11 squares 18^2 + 19^2 + ... + 28^2 = 77^2.
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CROSSREFS
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Cf. A001032.
Square roots of sum are in A076215.
Sequence in context: A161687 A120647 A131635 this_sequence A098874 A077104 A073815
Adjacent sequences: A007472 A007473 A007474 this_sequence A007476 A007477 A007478
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein
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EXTENSIONS
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Better description and more terms from Ralf Stephan (ralf(AT)ark.in-berlin.de), Nov 03 2002
Corrected by T. D. Noe (noe(AT)sspectra.com), Aug 25 2004
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