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A145572 Numerators of partial sums for Liouville's constant, read as base 2 (binary) numbers. 2
1, 3, 49, 12845057, 1017690263500988729456314874071089153, 4222921592695952872362526736376161058920018764920519780147745963811744865992371113095993596088044297100172572224585271942341064532181870606866447799704872724575357044373908131956500952542608981420222196042850818326529 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) is A145571(n) (a decimal number with digits only from {0,1}) read as base 2 number converted back into decimal notation.

The sequence of digit lengths is [1,1,2,8,37,217,1518,...]

LINKS

Table of n, a(n) for n=1..6.

FORMULA

a(n)=A145571(n) interpreted as number in binary notation, then converted to decimal notation.

EXAMPLE

a(3)=49, because A145571(3)=110001, and the binary number 110001 translates to 2^5+2^4+2^0=32+16+1 = 49.

MATHEMATICA

a[n_] := FromDigits[RealDigits[Sum[1/10^k!, {k, n}], 10, n!][[1]], 2]; Array[a, 6] (* Robert G. Wilson v, Aug 08 2018 *)

CROSSREFS

Cf. A145571 (numerators of approximations for Liouville's number).

Sequence in context: A203700 A063893 A291707 * A309869 A012857 A246221

Adjacent sequences:  A145569 A145570 A145571 * A145573 A145574 A145575

KEYWORD

nonn,base,easy

AUTHOR

Wolfdieter Lang Mar 06 2009

STATUS

approved

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Last modified August 24 17:01 EDT 2019. Contains 326295 sequences. (Running on oeis4.)