The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A300082 a(1) = 1, a(n) = the smallest integer > a(n-1) such that Sum_{k=1..n} a(k) written in binary contains binary n as a substring. 1
 1, 3, 7, 8, 10, 15, 16, 20, 21, 37, 38, 40, 53, 65, 80, 82, 84, 96, 111, 129, 150, 172, 193, 201, 202, 203, 227, 228, 254, 258, 259, 289, 296, 316, 317, 327, 349, 371, 399, 425, 426, 432, 449, 453, 509, 513, 526, 548, 593, 594, 611, 642, 643, 644, 648, 649 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This sequence is a binary variant of A300062. The scatterplot of the first difference has interesting features (see Links section). LINKS Table of n, a(n) for n=1..56. Rémy Sigrist, Perl program for A300082 Rémy Sigrist, Scatterplot of the first difference of the first 2^17 terms EXAMPLE The first terms, alongside the binary representation of Sum_{k=1..n} a(k) with the binary representation of n in brackets, are: n a(n) bin(Sum_{k=1..n} a(k)) -- ---- ---------------------- 1 1 (1) 2 3 (10)0 3 7 10(11) 4 8 (100)11 5 10 11(101) 6 15 10(110)0 7 16 (111)100 8 20 10(1000)0 9 21 1(1001)01 10 37 1000(1010) 11 38 (1011)0000 12 40 110(1100)0 13 53 10000(1101) 14 65 10100(1110) 15 80 1100(1111)0 16 82 1111(10000) PROG (Perl) See Links section. CROSSREFS Cf. A160855, A300062. Sequence in context: A047357 A003607 A087859 * A050010 A316493 A213650 Adjacent sequences: A300079 A300080 A300081 * A300083 A300084 A300085 KEYWORD nonn,base AUTHOR Rémy Sigrist and Chai Wah Wu, Feb 24 2018 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 22 12:56 EDT 2024. Contains 372755 sequences. (Running on oeis4.)