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1, 2, 3, 4, 3, 5, 3, 6, 7, 8, 3, 9, 3, 10, 11, 12, 3, 13, 3, 13, 11, 8, 3, 14, 7, 10, 15, 16, 3, 17, 3, 18, 11, 10, 11, 19, 3, 10, 11, 14, 3, 20, 3, 16, 21, 8, 3, 22, 7, 23, 11, 16, 3, 24, 11, 25, 11, 8, 3, 26, 3, 10, 21, 27, 11, 17, 3, 28, 11, 29, 3, 30, 3, 10, 21, 28, 11, 31, 3, 22, 32, 8, 3, 33, 11, 10, 11, 34, 3, 35, 11, 16, 11, 10, 11, 36, 3, 37, 21, 38
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OFFSET
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1,2
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COMMENTS
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Restricted growth sequence transform of the ordered pair [A046523(n), A322312(n)].
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LINKS
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PROG
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(PARI)
up_to = 65537;
rgs_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), u=1); for(i=1, length(invec), if(mapisdefined(om, invec[i]), my(pp = mapget(om, invec[i])); outvec[i] = outvec[pp] , mapput(om, invec[i], i); outvec[i] = u; u++ )); outvec; };
A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); }; \\ From A046523
A322312(n) = { my(m=1, p); fordiv(n, d, p=1+d; if(isprime(p), for(i=0, oo, if(n%(p^i), m *= prime(i); break)))); (m); };
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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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