A053480 Sum of values when cototient function A051953 is iterated until fixed point is reached.

1, 3, 4, 7, 6, 13, 8, 15, 13, 23, 12, 27, 14, 29, 23, 31, 18, 45, 20, 47, 34, 49, 24, 55, 31, 55, 40, 59, 30, 79, 32, 63, 47, 79, 47, 91, 38, 85, 62, 95, 42, 121, 44, 99, 79, 101, 48, 111, 57, 129, 71, 111, 54, 145, 78, 119, 91, 137, 60, 159, 62, 125, 103, 127, 83, 167

Offset: 1

Author

Labos Elemer, Jan 14 2000

Keywords

• nonn

Examples

			If n=130 and A051953 is iterated, we obtain {130,82,42,30,22,12,8,4,2,1,0}. The sum of these terms is 130 + 92 + 42 + 30 + 12 + 8 + 4 + 2 + 1 = 333, so a(130)=333.
		

Links

• Michael De Vlieger, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A051953.

Programs

Mathematica

Array[Total@ Most@ NestWhileList[# - EulerPhi@ # &, #, # > 0 &] &, 66] (* Michael De Vlieger, Nov 20 2017 *)

Formula

a(n) = Sum[Nest[co, n, j], {j, 1, x[n]}]; co[n]=A051953[n], x[n] is the number of iterations