cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A273259 Twin amicable numbers (m,n) where there is not any part of another amicable pair between m and n.

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%I A273259 #62 Feb 16 2025 08:33:35
%S A273259 220,284,1184,1210,2620,2924,5020,5564,6232,6368,10744,10856,12285,
%T A273259 14595,17296,18416,66928,66992,122368,123152,196724,202444,437456,
%U A273259 455344,469028,486178,503056,514736,522405,525915,643336,652664,802725,863835,998104,1043096,1077890,1099390
%N A273259 Twin amicable numbers (m,n) where there is not any part of another amicable pair between m and n.
%C A273259 The sequence lists the twin amicable number pairs in increasing order. So opposite to the list of the amicable numbers, the pairs (m, n) are necessarily adjacent to each other in this list.
%C A273259 First differs from A259933 at a(19). - _Omar E. Pol_, May 19 2016
%D A273259 Song Y. Yan, Perfect, Amicable and Sociable Numbers, World Scientific Pub Co Inc, 1996, pp. 113-121.
%H A273259 Zoltan Galantai, <a href="/A273259/b273259.txt">Table of n, a(n) for n = 1..150</a>
%H A273259 Bela Galantai, <a href="http://mono.eik.bme.hu/%7Egalantai/number-theory/twin-amicable-nubers.prg">Software source code written in Clipper</a>
%H A273259 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/AmicablePair.html">Amicable Pair</a>
%e A273259 The (63020, 76084) amicable pair does not qualify since it overlaps with the (66928, 66992) pair.
%e A273259 On the other hand, 66928 and 66992 are contiguous, thus the (66928, 66992) amicable pair belongs to the sequence.
%Y A273259 Cf. A002025 (smaller), A002046 (and larger of an amicable pair).
%Y A273259 Cf. A063990 (amicable numbers), A259180 (amicable pairs), A259933.
%K A273259 nonn
%O A273259 1,1
%A A273259 _Zoltan Galantai_, May 18 2016