

A332563


a(n) = minimal positive k such that the concatenation of the binary expansions of n,n+1,...,n+k is divisible by n+k+1, or 1 if no such k exists.


6



1, 6, 253, 160, 23, 6, 577, 14, 1, 4, 383, 8, 1591, 18, 169, 42, 1879, 210, 57, 20, 69, 1354, 13, 86, 225, 1532, 577, 300, 13, 30, 6419, 312, 30639, 12, 151, 8, 89, 2720, 29, 5830, 1, 1450, 195, 478, 55, 166528, 127, 1074, 3559, 252, 41
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OFFSET

1,2


COMMENTS

A base 2 analog of A332580.
For n up to 1000 the presently unknown values are a(213) and a(743).


LINKS

Joseph Myers, Table of n, a(n) for n = 1..212
Joseph Myers, Table of n, a(n) for n = 1..1024. The UNKNOWN entries at n = 213 and 743 are either 1 or greater than 10^9. [This extends an earlier table of Scott R. Shannon, which searched up to 128 with a search limit of 10^6.]
J. S. Myers, R. Schroeppel, S. R. Shannon, N. J. A. Sloane, and P. Zimmermann, Three Cousins of Recaman's Sequence, arXiv:2004:14000 [math.NT], April 2020.
Scott R. Shannon, The quotient after the final division, for n = 1..15
N. J. A. Sloane, Conant's Gasket, Recamán Variations, the Enots Wolley Sequence, and Stained Glass Windows, Experimental Math Seminar, Rutgers University, Sep 10 2020 (video of Zoom talk).


CROSSREFS

Cf. A332580, A332584, A332586.
Sequence in context: A184424 A324478 A230881 * A041853 A168476 A320979
Adjacent sequences: A332560 A332561 A332562 * A332564 A332565 A332566


KEYWORD

sign,base


AUTHOR

Scott R. Shannon and N. J. A. Sloane, Feb 25 2020.


STATUS

approved



