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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.

A290144 Record lengths of transient part of the unitary aliquot sequences of the numbers in A290143.

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%I A290144 #10 Jul 24 2017 12:36:14
%S A290144 1,2,3,4,5,6,7,8,9,10,11,15,43,45,67,78,205,207,1109,1116,1117,1155,
%T A290144 1162,1163,1171,1711,1712,1828,1829
%N A290144 Record lengths of transient part of the unitary aliquot sequences of the numbers in A290143.
%e A290144 The unitary aliquot sequence of 134 is: 134, 70, 74, 40, 14, 10, 8, 1. Its length is 8 and it is longer than the unitary aliquot sequences of all the numbers below 134.
%t A290144 usigma[n_] := If[n == 1, 1, Times @@ (1 + Power @@@ FactorInteger[n])];
%t A290144 g[n_] := If[n > 0, usigma[n] - n, 0]; f[n_] := NestWhileList[g, n, UnsameQ, All]; a = 0; seq = {}; Do[b = Length[f[n]] - 2; If[b > a, a = b; AppendTo[seq, b]], {n, 10^6}]; seq (* after _Giovanni Resta_ at A034448 & _Robert G. Wilson v_ at A098009 *)
%Y A290144 Cf. A098008, A098009, A098010, A127652, A127653, A127654, A127655, A290143.
%K A290144 nonn,more
%O A290144 1,2
%A A290144 _Amiram Eldar_, Jul 21 2017