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A230097 Indices of records in A159918. 5
0, 1, 3, 5, 11, 21, 39, 45, 75, 155, 181, 627, 923, 1241, 2505, 3915, 5221, 6475, 11309, 15595, 19637, 31595, 44491, 69451, 113447, 185269, 244661, 357081, 453677, 908091, 980853, 2960011, 2965685, 5931189, 11862197, 20437147, 22193965, 43586515, 57804981, 157355851 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

The records themselves are not so interesting: 0, 1, 2, 3, 5, 6, 7, 8, 9, 10, 13, 14, 15, 16, 17, 18, 19, 20, ...

Lindström mentions that the record value 34 in A159918 is first reached at n = 980853.

LINKS

Donovan Johnson, Table of n, a(n) for n = 1..64

Bernt Lindström, On the binary digits of a power, Journal of Number Theory, Volume 65, Issue 2, August 1997, Pages 321-324.

FORMULA

Lindström shows that lim sup wt(m^2)/log_2 m = 2.

PROG

(Haskell)

a230097 n = a230097_list !! (n-1)

a230097_list = 0 : f 0 0 where

   f i m = if v > m then i : f (i + 1) v else f (i + 1) m

           where v = a159918 i

-- Reinhard Zumkeller, Oct 12 2013

CROSSREFS

Cf. A000120, A159918, A231897.

Sequence in context: A045515 A298342 A293317 * A146787 A147243 A192664

Adjacent sequences:  A230094 A230095 A230096 * A230098 A230099 A230100

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Oct 11 2013

EXTENSIONS

a(19..40) by Reinhard Zumkeller, Oct 12 2013

STATUS

approved

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Last modified November 25 09:04 EST 2020. Contains 338623 sequences. (Running on oeis4.)