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A057016 Consider recurrence b(0) = (2n+1)/2, b(n) = b(n-1)*floor(b(n-1)); sequence gives first integer reached. +0
4
5, 105, 18, 550935, 39, 2730, 68, 2789204756584545, 105, 15939, 150, 943242300, 203, 53940, 264, 3714817857497700192049140000201816119835, 333, 137085, 410, 41463649689, 495, 291870, 588, 27194270698105759097850, 689, 550935, 798, 535022394030, 915 (list; graph; listen)
OFFSET

2,1

COMMENT

Number of steps to reach an integer is given by A001511. No integer is reached if initial value is 3/2.

LINKS

J. C. Lagarias and N. J. A. Sloane, Approximate squaring (pdf, ps), Experimental Math., 13 (2004), 113-128.

FORMULA

a(2t) = t(4t+1).

CROSSREFS

Cf. A081853, A087666.

Adjacent sequences: A057013 A057014 A057015 this_sequence A057017 A057018 A057019

Sequence in context: A123626 A052138 A007619 this_sequence A083252 A034225 A114481

KEYWORD

nonn

AUTHOR

njas, Sep 27 2003

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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