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A319679
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Number of distinct prime signatures that occur when map x -> A268674(x) is iterated, starting from x = n, until an even number is reached; a(1) = 0 by convention.
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2
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0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2
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OFFSET
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1,21
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COMMENTS
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Number of distinct values that A046523 obtains when applied to n and all the terms above it in that column where it is located in array A083221.
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LINKS
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PROG
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(PARI)
up_to = 32769;
v268674 = readvec("./b268674_terms_only-32769.txt"); \\ Prepared from the b-file of A268674.
A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); }; \\ From A046523
A319679(n) = if(1==n, 0, my(m=Map(), s, k=0); while(1, if(!mapisdefined(m, s=A046523(n)), mapput(m, s, s); k++); if(!(n%2), return(k)); n = A268674(n)));
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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