

A304106


Ordinal transform of A175851.


2



1, 2, 3, 1, 4, 2, 5, 3, 1, 1, 6, 4, 7, 5, 2, 2, 8, 6, 9, 7, 3, 3, 10, 8, 4, 4, 1, 1, 11, 9, 12, 10, 5, 5, 2, 2, 13, 11, 6, 6, 14, 12, 15, 13, 7, 7, 16, 14, 8, 8, 3, 3, 17, 15, 9, 9, 4, 4, 18, 16, 19, 17, 10, 10, 5, 5, 20, 18, 11, 11, 21, 19, 22, 20, 12, 12, 6, 6, 23, 21, 13, 13, 24, 22, 14, 14, 7, 7, 25, 23, 15, 15, 8, 8, 1, 1, 26, 24, 16, 16
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OFFSET

1,2


COMMENTS

Ordinal transform of the ordinal transform of the nextprime function, A151800(1..) = 2, 3, 5, 5, 7, 7, 11, 11, 11, 11, ...


LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537


FORMULA

For all n >= 1, a(A008578(n)) = n.


PROG

(PARI)
up_to = 65537;
A151800(n) = nextprime(1+n);
ordinal_transform(invec) = { my(om = Map(), outvec = vector(length(invec)), pt); for(i=1, length(invec), if(mapisdefined(om, invec[i]), pt = mapget(om, invec[i]), pt = 0); outvec[i] = (1+pt); mapput(om, invec[i], (1+pt))); outvec; };
v304106 = ordinal_transform(ordinal_transform(vector(up_to, n, A151800(n))));
A304106(n) = v304106[n];


CROSSREFS

Cf. A008578, A151800, A175851.
Sequence in context: A083906 A160541 A286001 * A022446 A122196 A023117
Adjacent sequences: A304103 A304104 A304105 * A304107 A304108 A304109


KEYWORD

nonn


AUTHOR

Antti Karttunen, Jun 09 2018


STATUS

approved



