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A255745

a(1) = 1; for n > 1, a(n) = 11*10^{A000120(n-1)-1}.

1, 11, 11, 110, 11, 110, 110, 1100, 11, 110, 110, 1100, 110, 1100, 1100, 11000, 11, 110, 110, 1100, 110, 1100, 1100, 11000, 110, 1100, 1100, 11000, 1100, 11000, 11000, 110000, 11, 110, 110, 1100, 110, 1100, 1100, 11000, 110, 1100, 1100, 11000, 1100, 11000, 11000

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OFFSET

1,2

COMMENTS

Also, this is a row of the square array A255740.

Partial sums give A255766.

Is this also A151787 written in base 2?

The answer to the above question is yes. - Paolo Xausa, Feb 18 2026

LINKS

Paolo Xausa, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = A007088(A151787(n)). - Paolo Xausa, Feb 18 2026

EXAMPLE

Also, written as an irregular triangle in which the row lengths are the terms of A011782, the sequence begins:

11;

11, 110;

11, 110, 110, 1100;

11, 110, 110, 1100, 110, 1100, 1100, 11000;

...

MATHEMATICA

Join[{1}, 11*10^(DigitSum[Range[100], 2] - 1)] (* Paolo Xausa, Feb 18 2026 *)

PROG

(PARI) a(n) = if (n==1, 1, 11*10^(hammingweight(n-1)-1)); \\ Michel Marcus, Mar 13 2015

CROSSREFS

Cf. A000120, A007088, A011782, A151787, A147582, A151789, A151779, A151791, A151782, A255740, A255741, A255743, A255744, A255766.

Sequence in context: A088773 A069588 A088774 * A188548 A290671 A290416

Adjacent sequences: A255742 A255743 A255744 * A255746 A255747 A255748

KEYWORD

nonn

AUTHOR

Omar E. Pol, Mar 05 2015

EXTENSIONS

More terms from Michel Marcus, Mar 13 2015

STATUS

approved

URL: https://oeis.org/A255745

⇱ A255745 - OEIS