A075428 - OEIS

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A075428

Number of steps to reach the first integer (= A075429(n)) starting with 1 + 2/(n*(n+1)) and iterating the map x -> x*ceiling(x), or -1 if no integer is ever reached.

0, 2, 2, 7, 4, 3, 4, 8, 7, 41, 15, 15, 18, 10, 8, 17, 10, 12, 10, 5, 9, 9, 10, 11, 14, 39, 12, 33, 65, 9, 31, 6, 23, 26, 6, 71, 98, 22, 43, 20, 26, 4, 33, 12, 36, 128, 43, 18, 10, 81, 28, 54, 24, 12, 8, 38, 19, 10, 41, 36, 83, 32, 9, 9, 12, 13, 60, 58, 19, 32

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..70.

EXAMPLE

a(5)=4 since 1 + 2/(5*6) = 1 + 1/15 = 16/15 -> 32/15 -> 32/5 -> 224/5 -> 2016=A075429(5).

CROSSREFS

Cf. A000217, A073524, A075429.

Sequence in context: A227828 A115025 A245286 * A277199 A116077 A074144

Adjacent sequences: A075425 A075426 A075427 * A075429 A075430 A075431

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Sep 16 2002

EXTENSIONS

More terms from Jinyuan Wang, Jan 15 2022

STATUS

approved