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A038363 Two different numbers a, b which satisfy sigma(a)=sigma(b)=(a+b)^3/(a^2+b^2) are called a rational amicable pair; sequence gives b numbers. 1
30193441130006700, 8764724625167659200, 36178574818140873830400, 9262775202028650907238400, 148205251271326084281139200, 2315711466905235330372675 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

These are just the known values. There is no proof that this sequence is correct (in the usual sense that there are no other terms below the last term shown). - N. J. A. Sloane, Nov 07 2006

Factorization: 2^(n-1)*M(n)*3*5^2*13*31*139*277*3877*239 where M(n) is Mersenne Prime, n=3 or 5<n.

LINKS

Table of n, a(n) for n=1..6.

Eric Weisstein's World of Mathematics, Rational Amicable Pair.

CROSSREFS

Cf. A038362.

Sequence in context: A003941 A003934 A038362 * A204189 A317163 A051167

Adjacent sequences:  A038360 A038361 A038362 * A038364 A038365 A038366

KEYWORD

nonn,more

AUTHOR

Yasutoshi Kohmoto

STATUS

approved

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Last modified June 12 14:45 EDT 2021. Contains 344957 sequences. (Running on oeis4.)