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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: Jan 29 2009, Problem 4 [From Joseph Myers, Feb 01 2009]

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 A089820

Adjacent sequences:  A112507 A112508 A112509 * A112511 A112512 A112513

KEYWORD

base,nonn

AUTHOR

Rick L. Shepherd, Sep 09 2005

EXTENSIONS

a(21) to a(31) from Joseph Myers, Feb 01 2009

STATUS

approved

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Last modified May 30 10:54 EDT 2020. Contains 334724 sequences. (Running on oeis4.)