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A330752 Number of values of k, 1 <= k <= n, with A328478(k) = A328478(n), where A328478(n) gives the remainder when all maximal primorial divisors of n (from the largest to smallest) have been divided out. 2
1, 2, 1, 3, 1, 4, 1, 5, 1, 2, 1, 6, 1, 2, 1, 7, 1, 2, 1, 3, 1, 2, 1, 8, 1, 2, 1, 3, 1, 9, 1, 10, 1, 2, 1, 11, 1, 2, 1, 4, 1, 4, 1, 3, 1, 2, 1, 12, 1, 2, 1, 3, 1, 2, 1, 5, 1, 2, 1, 13, 1, 2, 1, 14, 1, 4, 1, 3, 1, 2, 1, 15, 1, 2, 1, 3, 1, 4, 1, 5, 1, 2, 1, 6, 1, 2, 1, 5, 1, 3, 1, 3, 1, 2, 1, 16, 1, 2, 1, 3, 1, 4, 1, 5, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Ordinal transform of A328478.

LINKS

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

PROG

(PARI)

up_to = 65537;

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; };

A111701(n) = forprime(p=2, , if(n%p, return(n), n /= p));

A328478(n) = { my(u=A111701(n)); if(u==n, return(n), return(A328478(u))); };

v330752 = ordinal_transform(vector(up_to, n, A328478(n)));

A330752(n) = v330752[n];

CROSSREFS

Cf. A111701, A328478, A330751.

Sequence in context: A085343 A049077 A180184 * A222266 A077609 A077610

Adjacent sequences:  A330749 A330750 A330751 * A330753 A330754 A330755

KEYWORD

nonn

AUTHOR

Antti Karttunen, Dec 30 2019

STATUS

approved

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Last modified August 5 20:11 EDT 2021. Contains 346488 sequences. (Running on oeis4.)