

A327701


Maximum value for basen variant of A326344.


0



1, 20, 3, 107, 5, 310, 7, 668, 909, 1253, 11, 2082, 13, 3224, 3880, 4670, 17, 6558, 19
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OFFSET

2,2


COMMENTS

For each n >= 2, let b_n(k) be the basen A326344like sequence defined as follows:
 b_n(1) = 1;
 b_n(k) = R_n(nextprime(b_n(k  1))) if k is prime;
 b_n(k) = R_n(nextcompo(b_n(k  1))) if k is composite,
where R_n(x) writes x in reverse in base n, then converts back to decimal.
a(n) is the maximum value of b_n(k) for k >= 1. All listed terms so far have been established by automating the methods of Rémy Sigrist and Andrew Weimholt in A326344.
The obvious conjecture is that a(n) = n1 iff n1 is 1 or an odd prime.  N. J. A. Sloane, Oct 02 2019


LINKS

Table of n, a(n) for n=2..20.


EXAMPLE

A326344 has a maximum value of 909, so a(10) = 909. A327241 has a maximum value of 310, so a(7) = 310.


CROSSREFS

Cf. A326344, A326894, A327241.
Sequence in context: A248136 A040392 A317320 * A337157 A040388 A018816
Adjacent sequences: A327698 A327699 A327700 * A327702 A327703 A327704


KEYWORD

nonn,base,more


AUTHOR

Robert DoughertyBliss, Sep 29 2019.


STATUS

approved



