

A305795


Restricted growth sequence transform of A305794, a filter sequence constructed from the binary expansions of the divisors of n.


6



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

1,2


LINKS

Antti Karttunen, Table of n, a(n) for n = 1..65537
Index entries for sequences related to binary expansion of n


FORMULA

For all i, j:
a(i) = a(j) => A000005(i) = A000005(j).
a(i) = a(j) => A007814(i) = A007814(j).
a(i) = a(j) => A093653(i) = A093653(j).
a(i) = a(j) => A154402(i) = A154402(j).
a(i) = a(j) => A305436(i) = A305436(j).


PROG

(PARI)
\\ Needs also code from A286622:
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; };
A305794(n) = { my(m=1); fordiv(n, d, if(d>1, m *= prime(A286622(d)1))); (m); };
v305795 = rgs_transform(vector(up_to, n, A305794(n)));
A305795(n) = v305795[n];


CROSSREFS

Cf. A278222, A286622, A305794.
Cf. also A304105, A305793, A305815.
Sequence in context: A297242 A043272 A278064 * A304232 A303219 A071523
Adjacent sequences: A305792 A305793 A305794 * A305796 A305797 A305798


KEYWORD

nonn


AUTHOR

Antti Karttunen, Jun 11 2018


STATUS

approved



