A366873 a(n) = A113415(A163511(n)), where A113415(n) is the average of number of and sum of odd divisors of n.

1, 1, 1, 3, 1, 8, 3, 4, 1, 22, 8, 17, 3, 14, 4, 5, 1, 63, 22, 80, 8, 65, 17, 30, 3, 42, 14, 26, 4, 18, 5, 7, 1, 185, 63, 393, 22, 316, 80, 202, 8, 206, 65, 174, 17, 117, 30, 68, 3, 124, 42, 127, 14, 100, 26, 50, 4, 55, 18, 38, 5, 26, 7, 8, 1, 550, 185, 1956, 63, 1567, 393, 1403, 22, 1020, 316, 1204, 80, 804, 202

Offset

0,4

Links

Antti Karttunen, Table of n, a(n) for n = 0..16384

Formula

a(n) = (1/2) * (A324186(n)+A366797(n)).

Prog

(PARI)
A113415(n) = if(n<1, 0, sumdiv(n, d, if(d%2, (d+1)/2)));
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));
A366873(n) = A113415(A163511(n));

Crossrefs

Cf. A113415, A163511, A366874 (rgs-transform).

Cf. also A324186, A366797, A366875.

Sequence in context: A207609 A322428 A130300 * A345656 A308742 A065451

Adjacent sequences: A366870 A366871 A366872 * A366874 A366875 A366876

Keyword

nonn

Author

Antti Karttunen, Oct 27 2023

Status

approved