A057016 Consider recurrence b(0) = (2n+1)/2, b(n) = b(n-1)*floor(b(n-1)); sequence gives first integer reached.

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

Offset

2,1

Comments

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

Links

Table of n, a(n) for n=2..30.

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.

Sequence in context: A165387 A361138 A156848 * A193340 A083252 A327273

Adjacent sequences: A057013 A057014 A057015 * A057017 A057018 A057019

Keyword

nonn

Author

N. J. A. Sloane, Sep 27 2003

Status

approved