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A308705 Decimal expansion of the constant formed by concatenating the terms of A076478 (binary vectors of lengths 1, 2, 3, ... in numerical order). 0
2, 7, 6, 3, 8, 7, 1, 1, 7, 2, 7, 9, 4, 8, 6, 5, 2, 3, 7, 3, 4, 1, 9, 8, 6, 7, 6, 2, 1, 1, 9, 0, 1, 2, 3, 0, 5, 5, 5, 0, 8, 9, 9, 8, 8, 1, 6, 0, 6, 8, 5, 5, 0, 6, 1, 4, 3, 6, 7, 6, 8, 1, 9, 1, 1, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

The binary vectors "0,1,00,01,10,11,000,001,..." are concatenated into a constant "0.0100011011000001...", then converted to decimal.

LINKS

Table of n, a(n) for n=0..65.

EXAMPLE

0.276387117279486523734198676211901230555089988160685506143676819115...

MATHEMATICA

m = 100; d[n_] := Rest@IntegerDigits[n + 1, 2] + 1; v = Flatten[Array[d, 4 m]] - 1; RealDigits[FromDigits[v, 2]/2^Length[v], 10, m][[1]] (* Amiram Eldar, Jul 05 2019 after Clark Kimberling at A076478 *)

PROG

(Python)

from bigfloat import *

import string

def GenerateBitstring(bitstring, suffix, recurse):

    if recurse == 0:

        bitstring = bitstring + suffix

    else:

        bitstring = GenerateBitstring(bitstring, suffix + "0", recurse-1)

        bitstring = GenerateBitstring(bitstring, suffix + "1", recurse-1)

    return bitstring

VulcanBinary = ""

MaxRecursion = 8

for i in range(1, MaxRecursion+1):

    VulcanBinary = GenerateBitstring(VulcanBinary, "", i)

print '.' + VulcanBinary

with precision(2000):

    VulcanDecimal = BigFloat(0)

    b = BigFloat(1)

    for c in VulcanBinary:

        b = b/2.

        if c == '1':

            VulcanDecimal = VulcanDecimal+b

print VulcanDecimal

print string.join([x + ', ' for x in str(VulcanDecimal)[2:]])

CROSSREFS

Cf. A076478.

Sequence in context: A264692 A021366 A135155 * A244847 A175477 A011263

Adjacent sequences:  A308702 A308703 A308704 * A308706 A308707 A308708

KEYWORD

nonn,base,cons

AUTHOR

David McFadzean, Jun 18 2019

STATUS

approved

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Last modified November 18 19:59 EST 2019. Contains 329288 sequences. (Running on oeis4.)