A213675 a(n) = Chowla's function(n) + anti-Chowla's function(n).

0, 0, 0, 2, 2, 5, 5, 9, 5, 14, 5, 20, 10, 16, 16, 17, 17, 36, 5, 32, 18, 34, 19, 42, 27, 22, 36, 54, 5, 57, 21, 67, 40, 26, 41, 62, 25, 66, 42, 77, 14, 91, 27, 50, 88, 52, 29, 99, 46, 89, 28, 104, 53, 81, 53, 82, 58, 88, 51, 174, 16, 70, 110, 65, 59, 119, 87, 124, 34, 128

Offset

1,4

Comments

See A216982 for definition of anti-Chowla's function.

Links

Table of n, a(n) for n=1..70.

Formula

a(n) = A048050(n) + A216982(n).

Maple

A213675 := proc(n)
    A048050(n)+A216982(n) ;
end proc; # R. J. Mathar, Mar 15 2013

Prog

(PARI) a(n)=if(n<4, 0, my(k=valuation(n, 2)); sigma(n)+sigma(2*n+1)+sigma(2*n-1)+sigma(n>>k)<<(k+1)-3-23*n\/3) \\ Charles R Greathouse IV, Mar 05 2013

Crossrefs

Sequence in context: A062405 A368180 A071181 * A321185 A320322 A330106

Adjacent sequences: A213672 A213673 A213674 * A213676 A213677 A213678

Keyword

nonn,less

Author

Juri-Stepan Gerasimov, Mar 04 2013

Extensions

a(16) corrected by Charles R Greathouse IV, Mar 05 2013

Status

approved