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.

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A096849 If f(x) = phi(sigma(x)) is iterated starting from these numbers, then the start-value never returns. These are the transient terms of this iteration. Never occur in terminal cycles.

Original entry on oeis.org

3, 5, 7, 9, 10, 11, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83
Offset: 1

Views

Author

Labos Elemer, Jul 16 2004

Keywords

Examples

			All odd and certain even integers belong here.
		

Crossrefs

Programs

  • Mathematica
    Flatten@ Table[Function[s, If[Length@ # > 0, First@ #, #] &@ Keys@ KeySelect[s, Length@ Lookup[s, #] == 1 &]]@ PositionIndex@ NestList[EulerPhi@ DivisorSigma[1, #] &, n, 10^2], {n, 71}] (* Michael De Vlieger, Jul 24 2017 *)

A096851 Even transient values of f(x)=phi(sigma(x)) iterations.

Original entry on oeis.org

10, 14, 18, 20, 22, 26, 28, 32, 34, 36, 38, 40, 42, 44, 46, 50, 52, 54, 56, 58, 62, 64, 66, 68, 70, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124, 126
Offset: 1

Views

Author

Labos Elemer, Jul 16 2004

Keywords

Crossrefs

A096988 Initial values for f(x)=sigma(phi(x))=A062402(x) such that iteration of f ends in cycle of length=1.

Original entry on oeis.org

1, 2, 3, 4, 6, 13, 15, 16, 20, 21, 23, 24, 25, 26, 28, 30, 33, 36, 42, 44, 46, 50, 66, 157, 169, 203, 215, 237, 241, 245, 255, 256, 261, 272, 275, 287, 303, 305, 314, 316, 320, 325, 338, 340, 344, 347, 367, 369, 375, 384, 385, 392, 393, 404, 406, 408, 429, 430
Offset: 1

Views

Author

Labos Elemer, Jul 19 2004

Keywords

Crossrefs

Programs

  • Mathematica
    a = {}; Do[s = {n}; While[! MemberQ[s, k = DivisorSigma[1, EulerPhi[s[[-1]]]]], AppendTo[s, k]]; If[s[[-1]] == k, AppendTo[a, n]], {n, 430}]; a (* Ivan Neretin, Dec 15 2016 *)
Previous Showing 11-13 of 13 results.