login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A180202
The product of the two numbers in an amicable pair, A002025(n) * A002046(n).
4
62480, 1432640, 7660880, 27931280, 39685376, 116636864, 179299575, 318523136, 4794813680, 4483640576, 4773473775, 6100571295, 7076217500, 12475715175, 17094480975, 15069863936, 21699524864, 24011966300, 30304399616
OFFSET
1,1
COMMENTS
This sequence initially shares many terms with A180163 because small amicable pairs are sometimes consecutive terms in the sorted list of amicable numbers, A063990.
First differs from A180163 at a(9). - Omar E. Pol, Oct 25 2017
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..1000 from T. D. Noe)
FORMULA
a(n) = A259180(2n-1) * A259180(2n). - Omar E. Pol, Oct 22 2017
EXAMPLE
a(9) = A002025(9) * A002046(9) = 63020 * 76084 = 4794813680.
MATHEMATICA
s[n_] := DivisorSigma[1, n]-n; smallAmicableQ[n_] := Module[{b=s[n]}, n<b && s[b]==n]; a=Select[Range[10^6], smallAmicableQ]; Table[n*s[n], {n, a}]
CROSSREFS
KEYWORD
nonn
AUTHOR
T. D. Noe, Aug 15 2010
STATUS
approved