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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.
0
2, 3, 5, 7, 11, 23, 13, 25, 17
OFFSET
1,1
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
PROG
(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
CROSSREFS
Cf. A067836, A003309 (ludic numbers), A376237 (ludic Fortunate numbers).
Sequence in context: A183055 A046689 A048278 * A247797 A068863 A284146
KEYWORD
nonn,more,hard,changed
AUTHOR
Davide Rotondo, May 07 2024
STATUS
approved