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A055096
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Triangle of sums of 2 distinct nonzero squares: (1^2+2^2), (1^2+3^2), (2^2+3^2), (1^2+4^2), (2^2+4^2), (3^2+4^2), ...
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14
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5, 10, 13, 17, 20, 25, 26, 29, 34, 41, 37, 40, 45, 52, 61, 50, 53, 58, 65, 74, 85, 65, 68, 73, 80, 89, 100, 113, 82, 85, 90, 97, 106, 117, 130, 145, 101, 104, 109, 116, 125, 136, 149, 164, 181, 122, 125, 130, 137, 146, 157, 170, 185, 202, 221, 145, 148, 153, 160
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Discovered by Bernard Frenicle de Bessy (1605?-1675). - Paul Curtz (bpcrtz(AT)free.fr), Aug 18 2008
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LINKS
| A. Karttunen, Larger table, showing also locations of 4k+1 primes and squares
M. de Frenicle, Methode pour trouver la solutions des problems par les exclusions, in: Divers ouvrage des mathematique et de physique par messieurs de l'academie royale des science, (1693) pp 1-44.
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Index entries for sequences related to sums of squares
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FORMULA
| a(n) = sum2distinct_squares_array(n)
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MAPLE
| sum2distinct_squares_array := (n) -> (((n-((trinv(n-1)*(trinv(n-1)-1))/2))^2)+((trinv(n-1)+1)^2));
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CROSSREFS
| Sorting gives A024507. Count of divisors: A055097, Moebius: A055132. For trinv, follow A055088. Left edge: A002522. Right edge: A001844. Central column: A033429.
Sequence in context: A024507 A004431 A025302 * A132777 A191217 A134961
Adjacent sequences: A055093 A055094 A055095 * A055097 A055098 A055099
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KEYWORD
| nonn,tabl
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AUTHOR
| Antti Karttunen Apr 04 2000
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