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A134834
Let {b_n(m)} be a sequence defined by b_n(0)=1, b_n(m) is the largest prime dividing (b_n(m-1) + n). Then a(n) is the smallest positive integer such that b_n(m + a(n)) = b_n(m), for all integers m that are greater than some positive integer M.
1
2, 3, 2, 4, 3, 8, 2, 3, 4, 6, 2, 6, 3, 3, 2, 5, 4, 10, 3, 4, 3, 2, 2, 3, 3, 3, 8, 6, 8, 22, 2, 5, 5, 8, 2, 8, 4, 9, 2, 4, 3, 12, 3, 3, 6, 6, 2, 7, 4, 6, 3, 6, 4, 3, 3, 5, 12, 14, 3, 14, 4, 12, 3, 8, 6, 21, 5, 5, 7, 7, 2, 9, 5, 10, 11, 10, 7, 8, 3, 3, 14, 4, 7
OFFSET
1,1
EXAMPLE
Sequence {b_9(m)} is 1, 5, 7, 2, 11, 5, 7, 2, 11, ... (5, 7, 2, 11) repeats. So a(9) = 4, the length of the cycle in {b_9(m)}.
PROG
(PARI) a(n) = my(b=1, k, v=List([1])); until(k<#v, k=1; listput(v, b=vecmax(factor(b+n)[, 1])); until(v[k]==b||k==#v, k++)); #v-k; \\ Jinyuan Wang, Aug 22 2021
CROSSREFS
Sequence in context: A363159 A261172 A374192 * A035583 A145178 A105079
KEYWORD
nonn
AUTHOR
Leroy Quet, Nov 12 2007
EXTENSIONS
More terms from Jinyuan Wang, Aug 22 2021
STATUS
approved