A372607 Let a(1) = 2, f(n) = a(1)*a(2)*...*a(n-1) for n >= 1 and a(n) = nextludicnumber(f(n)+1) - f(n) for n >= 2, where nextludicnumber(x) is the smallest ludic number > x.

2, 3, 5, 7, 11, 23, 13, 25, 17

Offset: 1

Author

Davide Rotondo, May 07 2024

Keywords

• nonn
• more
• hard

Comments

Conjecture: every element is a ludic number.

This is the analog of Buss' conjecture (cf. A067836) for ludic numbers instead of primes, and similar to the idea of ludic Fortunate numbers (A376237) in analogy to the usual Fortunate numbers A005235. - M. F. Hasler, Nov 04 2024

Crossrefs

Cf. A067836, A003309 (ludic numbers), A376237 (ludic Fortunate numbers).

Programs

PARI

A372607_upto(n=15, f=1)=vector(n,i,n=if(i>1, next_A003309(1+f*=n)-f,2)) \\ M. F. Hasler, Nov 02 2024