A324196 - OEIS

A324196

Lexicographically earliest sequence such that a(i) = a(j) => A324195(i) = A324195(j) for all i, j >= 1.

1, 2, 3, 4, 5, 4, 6, 7, 8, 9, 10, 7, 11, 12, 8, 13, 14, 7, 15, 13, 16, 17, 18, 13, 19, 20, 21, 22, 23, 7, 24, 25, 26, 27, 19, 13, 28, 29, 30, 25, 31, 32, 33, 34, 21, 35, 36, 25, 37, 38, 39, 40, 41, 13, 42, 43, 44, 45, 46, 13, 47, 48, 49, 43, 50, 51, 52, 53, 54, 38, 55, 25, 56, 57, 21, 58, 37, 59, 60, 43, 49, 61, 62, 25, 63, 64, 65, 66, 67, 13, 68, 69, 70, 71, 72, 43

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OFFSET

1,2

COMMENTS

Restricted growth sequence transform of A324195.

For all i, j: a(i) = a(j) => A324197(i) = A324197(j) => A324190(i) = A324190(j).

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 = 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; };

A061395(n) = if(1==n, 0, primepi(vecmax(factor(n)[, 1])));

A297167(n) = if(1==n, 0, (A061395(n) + (bigomega(n)-omega(n)) - 1));

A297112(n) = if(1==n, 0, 2^A297167(n));

A324195(n) = { my(v=0); fordiv(n, d, v = bitor(v, A297112(d))); (v); };

v324196 = rgs_transform(vector(up_to, n, A324195(n)));

A324196(n) = v324196[n];

CROSSREFS

Cf. A297112, A297167, A297168, A061395, A324190, A324195, A324197.

Cf. also A324181.

Sequence in context: A212647 A303233 A137912 * A269597 A233775 A118577

Adjacent sequences: A324193 A324194 A324195 * A324197 A324198 A324199

KEYWORD

nonn

AUTHOR

Antti Karttunen, Feb 20 2019

STATUS

approved