

A323359


a(n) = b(n+1)/b(n)  1 where b(1)=2 and b(k) = b(k1) + lcm(floor(sqrt(k^3)), b(k1)).


2



1, 5, 1, 11, 7, 1, 11, 1, 31, 1, 41, 23, 13, 29, 1, 1, 19, 41, 89, 1, 103, 11, 1, 1, 11, 1, 37, 1, 41, 43, 181, 1, 1, 23, 1, 1, 1, 1, 1, 131, 17, 281, 97, 43, 311, 23, 83, 1, 353, 1, 17, 1, 1, 37, 419, 43, 1, 151, 29, 17, 61, 1, 1, 131, 67, 137, 1, 191, 1, 1, 61, 89
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OFFSET

1,2


COMMENTS

Conjectures:
1. This sequence consists only of 1's and primes.
2. Every odd prime of the form floor(sqrt(m^3)) is a term of this sequence.
3. At the first appearance of each prime of the form floor(sqrt(m^3)), it is the next prime after the largest prime that has already appeared.


LINKS

Table of n, a(n) for n=1..72.


PROG

(PARI) Generator(n)={b1=2; list=[]; for(k=2, n, b2=b1+lcm(floor(sqrt(k^3)), b1); a=b2/b11; list=concat(list, a); b1=b2); print(list)}


CROSSREFS

Cf. A135506, A008578, A323386, A323388.
Sequence in context: A131782 A242060 A185953 * A324036 A075677 A051853
Adjacent sequences: A323356 A323357 A323358 * A323360 A323361 A323362


KEYWORD

nonn


AUTHOR

Pedja Terzic, Jan 12 2019


STATUS

approved



