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A343271 From left to right: the k-th binary digit of a(n) is the most frequent digit among the first k binary digits of n (in case of a tie, take the k-th binary digit of n). 2
0, 1, 2, 3, 4, 5, 7, 7, 8, 9, 10, 11, 14, 15, 15, 15, 16, 16, 18, 19, 20, 21, 23, 23, 28, 29, 31, 31, 31, 31, 31, 31, 32, 32, 32, 33, 36, 37, 38, 39, 40, 41, 42, 43, 46, 47, 47, 47, 56, 57, 58, 59, 62, 63, 63, 63, 62, 63, 63, 63, 63, 63, 63, 63, 64, 64, 64, 64 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Leading zeros are ignored.

This sequence has similarities with A343049; here we scan the binary representations from left to right, there from right to left.

LINKS

Rémy Sigrist, Table of n, a(n) for n = 0..8192

Index entries for sequences related to binary expansion of n

FORMULA

A070939(a(n)) = A070939(n).

EXAMPLE

The first terms, in decimal and in binary, are:

n a(n) bin(n) bin(a(n))

-- ---- ------ ---------

0 0 0 0

1 1 1 1

2 2 10 10

3 3 11 11

4 4 100 100

5 5 101 101

6 7 110 111

7 7 111 111

8 8 1000 1000

9 9 1001 1001

10 10 1010 1010

11 11 1011 1011

12 14 1100 1110

13 15 1101 1111

14 15 1110 1111

15 15 1111 1111

PROG

(PARI) a(n, base=2) = { my (d=digits(n, base), f=vector(base), t); for (k=1, #d, f[1+d[k]]++; if (f[1+d[k]]==vecmax(f), t=d[k], d[k]=t)); fromdigits(d, base) }

CROSSREFS

Cf. A070939, A343049.

Sequence in context: A255545 A034152 A344316 * A114707 A000015 A306369

Adjacent sequences: A343268 A343269 A343270 * A343272 A343273 A343274

KEYWORD

nonn,base

AUTHOR

Rémy Sigrist, Apr 10 2021

STATUS

approved

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Last modified November 29 13:18 EST 2022. Contains 358430 sequences. (Running on oeis4.)