A329000 a(n) is the least positive number which yields a multiple of n when its binary digit string, S(n), is read in any numeric base; a(n) is displayed in base 10.

1, 6, 42, 60, 139810, 126, 139620524162, 2040, 349524, 419430, 2537779500750160131246576896002, 16380, 44612382091907903486070965589630128805126146, 418861572486, 146602109610, 1048560

Offset

1,2

Comments

If we consider sequence terms to be character strings, a(n) is A329126(n) read in base 2 and converted to base 10. Based on b-file for A329126.

Least k >= 1 such that n divides A329443(k). - Peter Munn, Dec 02 2021

Links

Table of n, a(n) for n=1..16.

Formula

a(n) <= A329339(n) = 2^A051903(n)*(m^n-1)/(m-1) with m = 2^A268336(n), equality except for n = 10, 14, 15, ... - M. F. Hasler, Nov 14 2019

Example

The strings S(1), S(2), S(3), ... are 1, 110, 101010, 111100, 100010001000100010, 1111110, ... (A329126); converted from binary to decimal these give the current sequence.

Prog

(PARI) \\ See A329339. - M. F. Hasler, Nov 14 2019

Crossrefs

Cf. A329126, A329339, A329338, A067029, A268336, A329443.

Sequence in context: A097253 A083938 A292316 * A329339 A176308 A103763

Adjacent sequences: A328997 A328998 A328999 * A329001 A329002 A329003

Keyword

nonn,base

Author

N. J. A. Sloane, Nov 12 2019

Extensions

Definition corrected: not lexicographically earliest string, but smallest binary number. - M. F. Hasler, Nov 09 2021

Name aligned with new A329126 name by Peter Munn, Dec 02 2021

Status

approved