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Search: id:A101904
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| A101904 |
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Number of leg-hypotenuse twin Pythagorean triples < 10^n. |
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+0
1
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| 1, 6, 21, 70, 223, 706, 2235, 7070, 22360, 70710, 223606, 707106, 2236067, 7071067, 22360679, 70710677, 223606797, 707106780, 2236067976, 7071067811, 22360679774, 70710678118, 223606797749, 707106781186, 2236067977499
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Eric Weisstein's World of Mathematics, Twin Pythagorean Triple
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EXAMPLE
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For a(2)=6 because {3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {9, 40, 41}, {11, 60, 61}, {13, 84, 85}.
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MATHEMATICA
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f[n_] := Round[ Sqrt[ (10^n - 1)/2] - 1]; Table[ f[n], {n, 25}] (from Robert G. Wilson v Jan 08 2005)
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CROSSREFS
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Cf. A095861, length of the longer leg in A046092, length of hypotenuse in A001844.
Sequence in context: A119103 A107653 A123653 this_sequence A022814 A000390 A000391
Adjacent sequences: A101901 A101902 A101903 this_sequence A101905 A101906 A101907
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KEYWORD
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nonn
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com), Dec 20, 2004
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