A317842 Dirichlet convolution of A284013 (= n - A002487(n)) with itself, where A002487 is Stern's Diatomic sequence.

0, 0, 0, 1, 0, 2, 0, 6, 1, 4, 0, 14, 0, 8, 4, 23, 0, 18, 0, 26, 8, 12, 0, 58, 4, 16, 10, 46, 0, 52, 0, 72, 12, 24, 16, 94, 0, 24, 16, 104, 0, 80, 0, 70, 42, 32, 0, 190, 16, 64, 24, 90, 0, 106, 24, 172, 24, 44, 0, 248, 0, 52, 66, 201, 32, 136, 0, 130, 32, 152, 0, 342, 0, 52, 80, 134, 48, 164, 0, 334, 63, 60, 0, 364, 48, 60, 44

Offset

1,6

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} A284013(n/d)*A284013(d).

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
A284013(n) = (n - A002487(n));
A317842(n) = sumdiv(n, d, A284013(n/d)*A284013(d));

Crossrefs

Cf. A002487, A284013, A317839, A317841, A317843.

Sequence in context: A180047 A180397 A347133 * A021489 A092158 A051831

Adjacent sequences: A317839 A317840 A317841 * A317843 A317844 A317845

Keyword

nonn

Author

Antti Karttunen, Aug 09 2018

Status

approved