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A055526 Shortest hypotenuse of a Pythagorean triangle with n as length of a leg. 7
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; refs; listen; history; text; internal format)
OFFSET

3,1

COMMENTS

Smallest k>n such that the squarefree part of k+n equals the squarefree part of k-n - Benoit Cloitre, May 26 2002

LINKS

Table of n, a(n) for n=3..63.

FORMULA

a(n)=sqrt(n^2+A055527(n)^2)

PROG

(PARI) for(n=3, 105, s=n+1; while(abs(core(s+n)-core(s-n))>0, s++); print1(s, ", "))

CROSSREFS

Cf. A009112, A046079, A046080, A046081, A054435, A054436, A055522, A055523, A055524, A055525, A055527.

Sequence in context: A122213 A224067 A049735 * A146984 A055524 A132981

Adjacent sequences:  A055523 A055524 A055525 * A055527 A055528 A055529

KEYWORD

nonn

AUTHOR

Henry Bottomley, May 22 2000

STATUS

approved

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Last modified November 15 11:35 EST 2018. Contains 317238 sequences. (Running on oeis4.)