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.
%I A045613 #23 Feb 16 2025 08:32:38 %S A045613 33,105,110,208,268,455,695,812,1609,1808,1892,1913,2096,2145,3123, %T A045613 3272,3867,4129,5424,5600,5916,6524,6783,7069,7119,7875,9716,10506, %U A045613 11088,11265,11552,12324,12892,12939,13712,14210,15429,15762,17252,17490,18368,19616 %N A045613 Minimal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements. %H A045613 Amiram Eldar, <a href="/A045613/b045613.txt">Table of n, a(n) for n = 1..40410</a> (terms below 10^10, terms 1..1000 from Donovan Johnson) %H A045613 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SuperUnitaryAmicablePair.html">Super Unitary Amicable Pair.</a> %F A045613 usigma(usigma(a)) = usigma(usigma(b)) = a+b where a<b and usigma(n) = A034448(n) is the sum of the unitary divisors of n. This sequence gives the values of a; A045614 gives the values of b. %t A045613 usigma[n_] := If[n == 1, 1, Times @@ (1 + Power @@@ FactorInteger[n])]; u[n_] := usigma[usigma[n]] - n; s = {}; Do[m = u[n]; If[m > n && u[m] == n, AppendTo[s, n]], {n, 1, 10000}]; s (* _Amiram Eldar_, Feb 18 2019 *) %Y A045613 Cf. A045614, A034448. %K A045613 nonn %O A045613 1,1 %A A045613 _Yasutoshi Kohmoto_ %E A045613 Edited by _Dean Hickerson_, Nov 06 2006 %E A045613 Offset corrected by _Donovan Johnson_, Jul 26 2012 %E A045613 More terms from _Amiram Eldar_, Feb 18 2019