login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A329033 a(n) = A003415(A122111(n)). 1
0, 1, 4, 1, 12, 5, 32, 1, 6, 16, 80, 7, 192, 44, 21, 1, 448, 8, 1024, 24, 60, 112, 2304, 9, 27, 272, 10, 68, 5120, 31, 11264, 1, 156, 640, 81, 10, 24576, 1472, 384, 32, 53248, 92, 114688, 176, 45, 3328, 245760, 13, 108, 39, 912, 432, 524288, 12, 216, 92, 2112, 7424, 1114112, 41, 2359296, 16384, 140, 1, 540, 244, 4980736, 1024, 4800, 123 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..4096

Index entries for sequences computed from indices in prime factorization

FORMULA

a(n) = A003415(A122111(n)).

a(1) = 0; for n > 1, a(n) = A122111(A064989(n)) + (A105560(n) * a(A064989(n))).

PROG

(PARI)

A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1]));

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)));

A329033(n) = A003415(A122111(n));

CROSSREFS

Cf. A003415, A064989, A105560, A122111.

Sequence in context: A246943 A106194 A272099 * A217234 A051290 A227338

Adjacent sequences:  A329030 A329031 A329032 * A329034 A329035 A329036

KEYWORD

nonn

AUTHOR

Antti Karttunen, Nov 08 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 February 23 13:14 EST 2020. Contains 332159 sequences. (Running on oeis4.)