The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A112510 Least n-bit number whose binary representation's substrings represent the maximal number (A112509(n)) of distinct integers. 7
 0, 2, 6, 12, 28, 56, 116, 244, 488, 984, 2008, 4016, 8048, 16240, 32480, 64968, 129992, 261064, 522128, 1044264, 2088552, 4177512, 8371816, 16743632, 33487312, 66976208, 134085072, 268170144, 536340304, 1072680624, 2145361584 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A112509 for a full explanation and example. LINKS Table of n, a(n) for n=1..31. 2008/9 British Mathematical Olympiad Round 2, Problem 4, Jan 29 2009. PROG (Python) from itertools import product def c(w): return len(set(w[i:j+1] for i in range(len(w)) if w[i] != "0" for j in range(i, len(w)))) + int("0" in w) def a(n): if n == 1: return 0 m = -1 for b in product("01", repeat=n-1): v = c("1"+"".join(b)) if v > m: m, argm = v, int("1"+"".join(b), 2) return argm print([a(n) for n in range(1, 21)]) # Michael S. Branicky, Jan 13 2023 CROSSREFS Cf. A112509 (corresponding maximum), A112511 (greatest n-bit number for which this maximum occurs). A078822, A122953, A156022, A156023, A156024, A156025. [From Joseph Myers, Feb 01 2009] Sequence in context: A159553 A327727 A222970 * A284449 A011949 A350271 Adjacent sequences: A112507 A112508 A112509 * A112511 A112512 A112513 KEYWORD base,nonn AUTHOR Rick L. Shepherd, Sep 09 2005 EXTENSIONS a(21)-a(31) from Joseph Myers, Feb 01 2009 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 July 15 12:56 EDT 2024. Contains 374332 sequences. (Running on oeis4.)