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A036471 Four distinct numbers (a,b,c,d) with a<b<c<d which satisfy sigma(a)=sigma(b)=sigma(c)=sigma(d)=a+b+c+d are called an amicable quadruple. We order these quadruples according to the common value of sigma. The values of a, b, c, d, sigma are in this sequence, A036472, A036473, A036474 and A116148 respectively. +0
7
3270960, 3767400, 4651920, 4969440, 5682600, 5405400, 6514200, 6126120, 6126120, 6320160, 6977880, 7013160, 6819120, 6966960, 7706160, 7731360, 7469280, 7469280 (list; graph; listen)
OFFSET

1,1

COMMENT

The sequence also contains the numbers 342151462276356306033089201934180, 6060968760324025992586151577119760, 99321681620793716265605322618607680, 409974875795109961540320351530842460160

The corresponding terms of A036472 would be: 357033595420351636473024008945820, 6324595118874800417522139587040240, 103641752270593503616169255168272320, 427807038915744951493564658435688099840

The corresponding terms of A036473 would be: 410581874773947356773179298713756, 7273164638852781748553461862929392, 119186052791523004137585762140907456, 491969994791994923787572902146102915072

The corresponding terms of A036474 would be: 428440439768072020710436590182244, 7589516361605847224013448168942608, 124370139086960335154801021607188544, 513368596793092084536932368118163836928

CROSSREFS

Cf. A036472, A036473, A036474, A116148.

Sequence in context: A122034 A029820 A138360 this_sequence A083635 A116306 A015408

Adjacent sequences: A036468 A036469 A036470 this_sequence A036472 A036473 A036474

KEYWORD

nonn,more

AUTHOR

Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp)

EXTENSIONS

The present first term was found by Dean Hickerson, Nov 06 2006.

That this is the first term was confirmed by Giovanni Resta (g.resta(AT)iit.cnr.it), Nov 14 2006, who also found a(2)-a(18).

Edited by njas, Nov 07 2006 and Nov 27 2006

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Last modified July 19 08:04 EDT 2008. Contains 142098 sequences.


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