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 A325564 Lexicographically earliest sequence such that for all i, j, a(i) = a(j) => f(i) = f(j) where f(n) = A325563(n) except f(1) = 0. 2
 1, 2, 2, 3, 2, 4, 2, 5, 4, 6, 2, 7, 2, 8, 6, 9, 2, 10, 2, 11, 8, 12, 2, 13, 2, 14, 10, 15, 2, 16, 2, 17, 4, 18, 8, 19, 2, 20, 4, 21, 2, 22, 2, 23, 16, 24, 2, 25, 8, 26, 18, 27, 2, 28, 2, 29, 4, 30, 2, 31, 2, 32, 22, 33, 6, 34, 2, 35, 2, 36, 2, 37, 2, 38, 16, 39, 2, 40, 2, 41, 2, 42, 2, 43, 18, 44, 2, 45, 2, 46, 2, 47, 32, 48, 20, 49, 2, 50, 34, 51, 2, 52, 2, 53, 16 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS For all i, j:   A305801(i) = A305801(j) => a(i) = a(j) => A325563(i) = A325563(j). LINKS Antti Karttunen, Table of n, a(n) for n = 1..65537 PROG (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; }; A325563(n) = if(1==n, n, my(p = Pol(binary(n))*Mod(1, 2)); fordiv(n, d, if((d>1), my(q = Pol(binary(n/d))*Mod(1, 2)); if(0==(p%q), return(n/d))))); Aux325564(n) = if(1==n, 0, A325563(n)); v325564 = rgs_transform(vector(up_to, n, Aux325564(n))); A325564(n) = v325564[n]; CROSSREFS Cf. A325563. Sequence in context: A305975 A304751 A117658 * A323888 A289435 A328396 Adjacent sequences:  A325561 A325562 A325563 * A325565 A325566 A325567 KEYWORD nonn AUTHOR Antti Karttunen, May 11 2019 STATUS approved

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Last modified July 27 17:09 EDT 2021. Contains 346308 sequences. (Running on oeis4.)