login
This site is supported by donations to The OEIS Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A323081 Lexicographically earliest such sequence a that for all i, j, a(i) = a(j) => f(i) = f(j), where f(p) = -(p mod 4) for primes p, and f(n) = A252463(n) for any other numbers. 3
1, 2, 3, 4, 5, 6, 3, 7, 7, 8, 3, 9, 5, 10, 9, 11, 5, 12, 3, 13, 13, 14, 3, 15, 12, 16, 11, 17, 5, 18, 3, 19, 17, 20, 18, 21, 5, 22, 23, 24, 5, 25, 3, 23, 15, 26, 3, 27, 28, 28, 29, 29, 5, 30, 25, 31, 32, 33, 3, 34, 5, 35, 24, 36, 37, 37, 3, 32, 38, 39, 3, 40, 5, 41, 21, 38, 39, 42, 3, 43, 19, 44, 3, 45, 42, 46, 47, 48, 5, 49, 50, 47, 51, 52, 53, 54, 5, 55, 31, 56, 5, 53, 3, 57, 34 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For all i, j:

  A319704(i) = A319704(j) => a(i) = a(j) => A322805(i) = A322805(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; };

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)};

A252463(n) = if(!(n%2), n/2, A064989(n));

A323081aux(n) = if(isprime(n), -(n%4), A252463(n));

v323081 = rgs_transform(vector(up_to, n, A323081aux(n)));

A323081(n) = v323081[n];

CROSSREFS

Cf. A292583, A319704, A322805, A323080.

Sequence in context: A323074 A195153 A328764 * A274630 A278058 A320115

Adjacent sequences:  A323078 A323079 A323080 * A323082 A323083 A323084

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jan 03 2019

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 11 18:19 EST 2019. Contains 329925 sequences. (Running on oeis4.)