A324186 Sum of odd divisors permuted by A163511: a(n) = A000593(A163511(n)).

1, 1, 1, 4, 1, 13, 4, 6, 1, 40, 13, 31, 4, 24, 6, 8, 1, 121, 40, 156, 13, 124, 31, 57, 4, 78, 24, 48, 6, 32, 8, 12, 1, 364, 121, 781, 40, 624, 156, 400, 13, 403, 124, 342, 31, 228, 57, 133, 4, 240, 78, 248, 24, 192, 48, 96, 6, 104, 32, 72, 8, 48, 12, 14, 1, 1093, 364, 3906, 121, 3124, 781, 2801, 40, 2028, 624, 2400, 156, 1600, 400, 1464, 13, 1240, 403

Offset: 0

Author

Antti Karttunen, Feb 17 2019

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..16384
• Antti Karttunen, Data supplement: n, a(n) computed for n = 0..65537

Crossrefs

Cf. A000593, A038712, A054429, A163511, A324056, A324184.

Programs

PARI

A000593(n) = sigma(n>>valuation(n, 2)); \\ From A000593
A163511(n) = if(!n,1,my(p=2, t=1); while(n>1, if(!(n%2), (t*=p), p=nextprime(1+p)); n >>= 1); (t*p));
A324186(n) = A000593(A163511(n));

Formula

a(n) = A000593(A163511(n)).

For n > 0, a(n) = A324056(A054429(n)).