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A050411 Analog of 3x+1 function. 1
4, 1, 7, 9, 2, 12, 3, 15, 17, 4, 20, 22, 5, 25, 6, 28, 30, 7, 33, 8, 36, 38, 9, 41, 43, 10, 46, 11, 49, 51, 12, 54, 56, 13, 59, 14, 62, 64, 15, 67, 16, 70, 72, 17, 75, 77, 18, 80, 19, 83, 85, 20, 88, 21, 91, 93, 22, 96, 98, 23, 101, 24, 104, 106, 25, 109, 111, 26, 114, 27, 117, 119, 28, 122, 29, 125 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Iterates diverge for all n except n>2 in A005248.

REFERENCES

K. S. Stolarsky, A prelude to the 3x+1 problem, J. Differ. Equations Appl. 4 (1998), no. 5, 451-461.

LINKS

Table of n, a(n) for n=1..76.

FORMULA

f([phi n]) = [phi^2 n]+2; f([phi^2 n]) = n. phi = (1+sqrt(5))/2.

CROSSREFS

Cf. A005248.

Sequence in context: A140657 A253635 A078975 * A010643 A108906 A193842

Adjacent sequences:  A050408 A050409 A050410 * A050412 A050413 A050414

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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Last modified February 17 20:02 EST 2018. Contains 299296 sequences. (Running on oeis4.)