The following are the first forty terms of a sequence: 1, 2, 3, 2, 5, 3, 7, 2, 3, 5, 11, 3, 13, 7, 5, 2, 17, 3, 19, 5, 7, 11, 23, 3, 5, 13, 3, 7, 29, 5, 31, 2, 11, 17, 7, 3, 37, 19, 13, 5, . . . It may be of interest, though probably unhelpful in determining the pattern, that the limit at infinity of the sequence does not exist, though maxnє{1,2,3,4, . . .}{a(n)}=∞. Therefore, it follows that the derivative of the mystical curve of best fit is also non-existent at infinity. Same idea as the other sequences. Describe the pattern of the sequence. If you use a search engine, please don't submit it in the comments. This one's easy, but, if it hasn't been solved by Thursday, I'll give a hint then. Also, if you ask a polar question (i.e., a yes/no question), I will probably answer it if it relates to this sequence. I'll post the solution on next week's sequence. Last week's sequence (0, 1, 1, 1, 1, 2, 1, 1, 1, 2, . . .) was the number of distinct primes that divided the placeholder. E.g., a(30)=3, since the primes that divide 30 are 2, 3 and 5. KWTsui solved it.
Monday, March 16, 2009
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1 comments:
Easy - especially following last week's sequence....it's the largest prime factor of n. n being the nth term in your list
T
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