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A053480 Sum of values when cototient function A051953 is iterated until fixed point is reached. +0
1
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 (list; graph; listen)
OFFSET

1,2

FORMULA

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

EXAMPLE

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

CROSSREFS

Cf. A051953.

Sequence in context: A090128 A086293 A003981 this_sequence A077580 A069213 A130700

Adjacent sequences: A053477 A053478 A053479 this_sequence A053481 A053482 A053483

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Jan 14 2000

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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