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A317873 Number of digits in the numerators of partial sums for Liouville's constant, read as base-2 (binary) numbers. 0
1, 1, 2, 8, 37, 217, 1518, 12138, 109238, 1092378, 12016155, 144193850, 1874520045, 26243280622, 393649209329, 6298387349264, 107072584937472, 1927306528874488, 36618824048615255, 732376480972305082, 15379906100418406713, 338357934209204947674 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Inspired by the comment made in A145572.

a(n) ~= n*a(n-1).

LINKS

Table of n, a(n) for n=1..22.

FORMULA

a(n) = A034887(n!).

MATHEMATICA

a[n_] := IntegerLength@ FromDigits[ RealDigits[ Sum[1/10^k!, {k, n}], 10, n!][[1]], 2]; Array[a, 13] (* slow *)

Array[ Floor[#! Log10@2 + 1] &, 22]

CROSSREFS

Cf. A034887, A145571, A145572.

Sequence in context: A289541 A047729 A020076 * A289316 A020130 A159051

Adjacent sequences:  A317870 A317871 A317872 * A317874 A317875 A317876

KEYWORD

nonn,base

AUTHOR

Wolfdieter Lang and Robert G. Wilson v, Aug 09 2018

STATUS

approved

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Last modified May 22 05:03 EDT 2019. Contains 323473 sequences. (Running on oeis4.)