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A317839
Möbius transform of A002487, Stern's Diatomic sequence.
9
1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 4, 0, 4, 0, 0, 0, 4, 0, 6, 0, 4, 0, 6, 0, 4, 0, 4, 0, 6, 0, 4, 0, 0, 0, 4, 0, 10, 0, 4, 0, 10, 0, 12, 0, 6, 0, 8, 0, 6, 0, 6, 0, 12, 0, 4, 0, 2, 0, 10, 0, 8, 0, -4, 0, 0, 0, 10, 0, 6, 0, 12, 0, 14, 0, 10, 0, 10, 0, 12, 0, 6, 0, 18, 0, 14, 0, 10, 0, 16, 0, 12, 0, 10, 0, 2, 0, 10, 0, 8, 0, 18, 0, 16, 0, 4
OFFSET
1,5
FORMULA
a(n) = Sum_{d|n} A008683(n/d)*A002487(d).
a(n) = A000010(n) - A317841(n).
PROG
(PARI)
A002487(n) = { my(a=1, b=0); while(n>0, if(bitand(n, 1), b+=a, a+=b); n>>=1); (b); }; \\ From A002487
A317839(n) = sumdiv(n, d, moebius(n/d)*A002487(d));
KEYWORD
sign
AUTHOR
Antti Karttunen, Aug 09 2018
STATUS
approved