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A329351 Lexicographically earliest infinite sequence such that a(i) = a(j) => A329350(i) = A329350(j) for all i, j. 4
1, 2, 2, 3, 2, 4, 2, 5, 6, 7, 2, 8, 2, 9, 10, 11, 2, 12, 2, 13, 14, 15, 2, 16, 4, 12, 9, 17, 2, 18, 2, 19, 20, 21, 22, 23, 2, 24, 25, 26, 2, 27, 2, 28, 29, 30, 2, 31, 32, 33, 34, 35, 2, 36, 37, 38, 39, 18, 2, 40, 2, 41, 42, 43, 44, 45, 2, 46, 47, 48, 2, 49, 2, 50, 51, 52, 44, 53, 2, 54, 55, 56, 2, 57, 58, 59, 60, 61, 2, 62, 63, 64, 65, 66, 29, 67, 2, 68, 69 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Restricted growth sequence transform of A329350.

For all i, j:

  A305800(i) = A305800(j) => a(i) = a(j),

  a(i) = a(j) => A069359(i) = A069359(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; };

A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };

A329350(n) = { my(m=1); fordiv(n, d, if(isprime(n/d), m *= A276086(d))); (m); };

v329351 = rgs_transform(vector(up_to, n, A329350(n)));

A329351(n) = v329351[n];

CROSSREFS

Cf. A069359, A305800, A329350.

Cf. also A329353, A329381.

Sequence in context: A300232 A300233 A293217 * A319709 A293226 A328315

Adjacent sequences:  A329348 A329349 A329350 * A329352 A329353 A329354

KEYWORD

nonn

AUTHOR

Antti Karttunen, Nov 12 2019

STATUS

approved

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Last modified August 11 01:53 EDT 2020. Contains 336418 sequences. (Running on oeis4.)