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A144016 a(n) = the largest positive integer m such that the binary representations of all positive integers <= m are found within the binary representation of n. 5
1, 2, 1, 2, 2, 3, 1, 2, 2, 2, 3, 4, 3, 3, 1, 2, 2, 2, 4, 2, 2, 3, 3, 4, 4, 3, 3, 4, 3, 3, 1, 2, 2, 2, 4, 2, 2, 4, 4, 2, 2, 2, 3, 6, 3, 3, 3, 4, 4, 4, 4, 6, 3, 3, 3, 4, 4, 3, 3, 4, 3, 3, 1, 2, 2, 2, 4, 2, 2, 4, 4, 2, 2, 2, 5, 4, 6, 4, 4, 2, 2, 2, 5, 2, 2, 3, 3, 6, 6, 3, 3, 7, 3, 3, 3, 4, 4, 4, 4, 4, 6, 4, 4, 6, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

From Rémy Sigrist, Mar 10 2018: (Start)

a(n) is the greatest k <= n such that A213629(n, i) > 0 for i = 1..k.

See A261467 for the indices of record values.

(End)

LINKS

Rémy Sigrist, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A261461(n) - 1. - Rémy Sigrist, Mar 10 2018

EXAMPLE

44 in binary is 101100. In this string we find 1 (1 in decimal): (1)01100; 10 (2 in decimal): (10)1100; 11 (3 in decimal): 10(11)00; 100 (4 in decimal): 101(100); 101 (5 in decimal): (101)100; and 110 (6 in decimal): 10(110)0; but not 111 (7 in decimal). So a(44) = 6.

CROSSREFS

Cf. A213629, A261461, A261467.

Sequence in context: A194449 A261923 A124736 * A179868 A104232 A072086

Adjacent sequences:  A144013 A144014 A144015 * A144017 A144018 A144019

KEYWORD

base,nonn

AUTHOR

Leroy Quet, Sep 07 2008

EXTENSIONS

Extended by Ray Chandler, Nov 07 2008

STATUS

approved

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Last modified August 2 17:31 EDT 2021. Contains 346428 sequences. (Running on oeis4.)