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A156022 Maximum number of positive numbers represented by substrings of an n-bit number's binary representation 6
1, 2, 4, 6, 9, 12, 16, 21, 26, 32, 39, 46, 54, 63, 72, 82, 93, 105, 117, 130, 144, 159, 175, 191, 208, 226, 245, 264, 284, 305, 327 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Equivalently, maximum number of distinct substrings starting with a "1" digit.

LINKS

Table of n, a(n) for n=1..31.

2008/9 British Mathematical Olympiad Round 2: Jan 29 2009, Problem 4

CROSSREFS

A078822, A112509, A112510, A112511, A122953, A156023, A156024, A156025. Equals A112509(n)-1 for n >= 2.

Sequence in context: A194250 A024610 A022778 * A224809 A327094 A048171

Adjacent sequences:  A156019 A156020 A156021 * A156023 A156024 A156025

KEYWORD

nonn

AUTHOR

Joseph Myers, Feb 01 2009

STATUS

approved

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Last modified June 6 14:04 EDT 2020. Contains 334827 sequences. (Running on oeis4.)