A317839 Möbius transform of A002487, Stern's Diatomic sequence.

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

Links

Antti Karttunen, Table of n, a(n) for n = 1..16384

Index entries for sequences related to Stern's sequences

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));

Crossrefs

Cf. A002487, A008683, A317837, A317838, A317840, A317841, A317843.

Sequence in context: A209457 A096577 A200213 * A137899 A369382 A293516

Adjacent sequences: A317836 A317837 A317838 * A317840 A317841 A317842

Keyword

sign

Author

Antti Karttunen, Aug 09 2018

Status

approved