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A112420 Leading digits in 3x+1 chain starting with the number 1117065. 2
1, 3, 1, 8, 2, 1, 3, 1, 5, 2, 1, 4, 2, 6, 3, 1, 4, 2, 7, 3, 1, 5, 1, 8, 4, 1, 6, 1, 9, 2, 1, 4, 2, 6, 3, 9, 4, 1, 6, 3, 1, 5, 1, 7, 2, 1, 3, 1, 5, 2, 7, 3, 1, 5, 1, 8, 4, 1, 6, 1, 9, 2, 1, 7, 3, 1, 9, 4, 2, 6, 3, 1, 5, 2, 1, 3, 1, 5, 2, 8, 4, 1, 6, 1, 9, 2, 1, 4, 2, 6, 3, 1, 8, 2, 1, 3, 1, 5, 2, 1, 4, 2, 6, 3, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The 3x+1 chain starts 1117065 -> 3351196 -> 1675598 -> 837799 and enters a 4->2->1->4->.. cycle after 527 iterations. The current sequence shows the most significant decimal digit after each iteration. [R. J. Mathar, Jul 26 2010]

LINKS

Michel Marcus, Table of n, a(n) for n = 1..600

A. V. Kontorovich & S. J. Miller, Benford's Law, Values Of L-Functions And The 3x+1 Problem, arXiv:math/0412003 [math.NT], 2004-2005.

J. C. Lagarias and K. Soundararajan, Benford's Law for the 3x+1 Function, arXiv:math/0509175 [math.NT], 2005-2006.

P. Picart, Algorithme de Collatz et conjecture de Syracuse

Index entries for sequences related to Benford's law

PROG

(PARI) lista(nn) = my(c = 1117065); for (n=1, nn, print1(digits(c)[1], ", "); if (c % 2, c = 3*c+1, c = c/2); ); \\ Michel Marcus, Nov 05 2016

CROSSREFS

Cf. A033958.

Sequence in context: A280207 A319045 A182510 * A010288 A143291 A258043

Adjacent sequences:  A112417 A112418 A112419 * A112421 A112422 A112423

KEYWORD

nonn,base

AUTHOR

Lekraj Beedassy, Dec 10 2005

EXTENSIONS

a(103) corrected by Michel Marcus, Nov 05 2016

STATUS

approved

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Last modified April 13 00:24 EDT 2021. Contains 342934 sequences. (Running on oeis4.)