A252488 Binary sequence starting with 1 and with run lengths given by the ruler sequence A001511.

1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1

Offset

1

Comments

Inspired by Jeremy Gardiner's sequence A253585.

Links

Table of n, a(n) for n=1..95.

Prog

(PARI) concat(vector(50, n, if(1<m=A001511(n), vector(m), 1)))
(Python 3.10+)
def A252488_gen(): # generator of terms
        m = 0
        for n in count(0):
            yield from [0]*(-m-1+(m:=(n<<2)-n.bit_count()))
            yield 1 # Chai Wah Wu, Jul 12 2022

Crossrefs

Cf. A001511, A253585.

The 1's are located at indices given by A005187(2n+1) = A005187(2n)+1 = A120738(n)+1. - N. J. A. Sloane and M. F. Hasler, Jan 22 2015

Sequence in context: A353269 A205633 A352594 * A170956 A293449 A307424

Adjacent sequences: A252485 A252486 A252487 * A252489 A252490 A252491

Keyword

nonn

Author

M. F. Hasler, Jan 13 2015

Status

approved