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A055524 Longest other side of a Pythagorean triangle with n as length of one of the three sides (in fact n is a leg and a(n) the hypotenuse). +0
9
5, 5, 13, 10, 25, 17, 41, 26, 61, 37, 85, 50, 113, 65, 145, 82, 181, 101, 221, 122, 265, 145, 313, 170, 365, 197, 421, 226, 481, 257, 545, 290, 613, 325, 685, 362, 761, 401, 841, 442, 925, 485, 1013, 530, 1105, 577, 1201, 626, 1301, 677, 1405, 730, 1513, 785 (list; graph; listen)
OFFSET

3,1

FORMULA

a(n)=sqrt(n^2+A055523(n)^2). a(2k)=k^2+1, a(2k+1)=k^2+(k+1)^2.

CROSSREFS

Cf. A009112, A046079, A046080, A046081, A054435, A054436, A055522, A055523, A055525, A055526, A055527.

Sequence in context: A049735 A055526 A146984 this_sequence A132981 A147280 A147494

Adjacent sequences: A055521 A055522 A055523 this_sequence A055525 A055526 A055527

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), May 22 2000

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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