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A091461 Smallest number containing in its binary representation substrings forming an arithmetic progression exactly of size n. 1
0, 3, 2, 6, 12, 75, 44, 92, 184, 1208, 1256, 4840, 4792, 36055, 9912, 19832, 39664, 563952, 576464, 4496112, 4499184 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A091460(a(n))=n and A091460(m)<>n for m<a(n).

LINKS

Table of n, a(n) for n=1..21.

EXAMPLE

a(7) = 44->'101100', {0+k*1: 0<=k<7}: bbbbb0 => 1bbbbb => 10bbbb => bb11bb => bbb100 => 101bbb => bb110b.

a(6) > 44: Although there is an arithmetic progression of length 6 in the binary expansion of 44, it is extendable (to length 7).

CROSSREFS

Sequence in context: A175182 A291221 A052616 * A078091 A073883 A248982

Adjacent sequences: A091458 A091459 A091460 * A091462 A091463 A091464

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Jan 12 2004

EXTENSIONS

a(12)-a(13) by Álvar Ibeas, Sep 09 2020

a(14)-a(21) by Álvar Ibeas, Sep 12 2020

STATUS

approved

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Last modified January 31 21:41 EST 2023. Contains 359981 sequences. (Running on oeis4.)