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Search: id:A055526
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| A055526 |
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Shortest hypotenuse of a Pythagorean triangle with n as length of a leg. |
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+0
8
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| 5, 5, 13, 10, 25, 10, 15, 26, 61, 13, 85, 50, 17, 20, 145, 30, 181, 25, 29, 122, 265, 25, 65, 170, 45, 35, 421, 34, 481, 40, 55, 290, 37, 39, 685, 362, 65, 41, 841, 58, 925, 55, 51, 530, 1105, 50, 175, 130, 85, 65, 1405, 90, 73, 65, 95, 842, 1741, 61, 1861, 962, 65
(list; graph; listen)
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OFFSET
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3,1
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COMMENT
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Smallest k>n such that the square-free part of k+n equals the square-free part of k-n - Benoit Cloitre (benoit7848c(AT)orange.fr), May 26 2002
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FORMULA
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a(n)=sqrt(n^2+A055527(n)^2)
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PROGRAM
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(PARI) for(n=3, 105, s=n+1; while(abs(core(s+n)-core(s-n))>0, s++); print1(s, ", "))
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CROSSREFS
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Cf. A009112, A046079, A046080, A046081, A054435, A054436, A055522, A055523, A055524, A055525, A055527.
Sequence in context: A123133 A122213 A049735 this_sequence A146984 A055524 A132981
Adjacent sequences: A055523 A055524 A055525 this_sequence A055527 A055528 A055529
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), May 22 2000
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