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.

A166159 Numbers k such that phi(k) + number of perfect partitions of (k-1) = k.

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%I A166159 #9 Feb 29 2020 03:33:39
%S A166159 2,3,4,5,7,8,11,12,13,16,17,19,23,29,31,32,37,41,43,47,53,59,60,61,64,
%T A166159 67,71,73,79,80,83,89,97,101,103,107,109,113,127,128,131,137,139,149,
%U A166159 151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241
%N A166159 Numbers k such that phi(k) + number of perfect partitions of (k-1) = k.
%C A166159 Numbers k such that A000010(k) + A002033(k-1) = k.
%C A166159 Also numbers k such that A000010(k) + A074206(k) = k. Union of the primes (A000040), the powers of 2 (A000079) above 1, and the terms 12, 60, 80, 448, 528, 560, 3648, 4560, 11264, 22272, 24320, 53248, 125952, 146432, 1114112, 3489792, 3850240, 4145152, 4980736, 12931072, 17498112, 19333120, 20905984, 21168128, 85721088, 96468992, ... - _Amiram Eldar_, Feb 29 2020
%t A166159 f[1] = 1; f[n_] := f[n] = Plus @@ (f /@ Most @ Divisors[n]); Select[Range[1000], f[#] + EulerPhi[#] == # &] (* _Amiram Eldar_, Feb 29 2020 *)
%Y A166159 Cf. A000010, A002033, A074206, A174090.
%K A166159 nonn
%O A166159 1,1
%A A166159 _Juri-Stepan Gerasimov_, Oct 08 2009
%E A166159 Index in the definition corrected, and extended by _R. J. Mathar_, Oct 10 2009