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A329035 Lexicographically earliest infinite sequence such that a(i) = a(j) => A329034(i) = A329034(j) for all i, j, where A329034 is the Möbius transform of A122111. 2
1, 1, 2, 1, 3, 1, 4, 5, 6, 2, 7, 2, 8, 3, 3, 5, 9, 10, 11, 3, 12, 4, 13, 5, 14, 7, 15, 4, 16, 3, 17, 10, 18, 8, 7, 5, 19, 9, 20, 21, 22, 4, 23, 7, 24, 11, 25, 21, 26, 27, 28, 8, 29, 10, 30, 27, 31, 13, 32, 1, 33, 16, 34, 5, 35, 7, 36, 9, 37, 38, 39, 40, 41, 17, 42, 11, 43, 8, 44, 27, 45, 19, 46, 6, 47, 22, 48, 49, 50, 10, 51, 13, 52, 23, 53, 54, 55, 56, 57, 58, 59, 9 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Restricted growth sequence transform of A329034.

LINKS

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

Index entries for sequences computed from indices in prime factorization

PROG

(PARI)

up_to = 8192;

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; };

A064989(n) = {my(f); f = factor(n); if((n>1 && f[1, 1]==2), f[1, 2] = 0); for (i=1, #f~, f[i, 1] = precprime(f[i, 1]-1)); factorback(f)};

A122111(n) = if(1==n, n, prime(bigomega(n))*A122111(A064989(n)));

A329034(n) = sumdiv(n, d, moebius(n/d)*A122111(d));

v329035 = rgs_transform(vector(up_to, n, A329034(n)));

A329035(n) = v329035[n];

CROSSREFS

Cf. A008683, A122111, A329034.

Sequence in context: A300242 A293892 A295885 * A082904 A034868 A050382

Adjacent sequences:  A329032 A329033 A329034 * A329036 A329037 A329038

KEYWORD

nonn

AUTHOR

Antti Karttunen, Nov 08 2019

STATUS

approved

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Last modified April 12 18:58 EDT 2021. Contains 342932 sequences. (Running on oeis4.)