A055143 The first n digits of the juxtaposition of the base-2 numbers converted to decimal.
1, 3, 6, 13, 27, 55, 110, 220, 441, 882, 1765, 3531, 7063, 14126, 28253, 56507, 113015, 226031, 452062, 904124, 1808248, 3616497, 7232994, 14465988, 28931977, 57863955, 115727910, 231455821, 462911642, 925823285, 1851646570, 3703293141, 7406586283, 14813172567
Offset: 1
Examples
1 (1); 11 (3); 110 (6); 1101 (13); 11011 (27); 110111 (55); ...
Links
- Michael S. Branicky, Table of n, a(n) for n = 1..3322
Programs
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Mathematica
With[{c=Flatten[Table[IntegerDigits[n,2],{n,20}]]},Table[FromDigits[ Take[ c,k],2],{k,Length[c]}]] (* Harvey P. Dale, May 15 2021 *) -
Python
from itertools import count, islice def agen(): k, chap = 1, "1" for n in count(1): while len(chap) < n: k += 1; chap += bin(k)[2:] yield int(chap[:n], 2) print(list(islice(agen(), 34))) # Michael S. Branicky, Oct 06 2022
Extensions
a(32) and beyond from Michael S. Branicky, Oct 06 2022
Comments