A318839 Restricted growth sequence transform of A318838.

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

Offset: 1

Author

Antti Karttunen, Sep 05 2018

Keywords

• nonn

Comments

For all i, j: a(i) = a(j) => A000010(i) = A000010(j).

Links

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

Crossrefs

Cf. A000010, A007431, A318838.

Cf. also A318837.

Programs

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; };
A007431(n) = sumdiv(n,d,moebius(n/d)*eulerphi(d));
A318838(n) = { my(m=1); fordiv(n,d,if((A007431(d)!=0),m *= prime(A007431(d)))); (m); };
v318839 = rgs_transform(vector(up_to,n,A318838(n)));
A318839(n) = v318839[n];