A104723 Moebius transform of Jacobsthal numbers.

0, 1, 0, 2, 4, 10, 18, 42, 80, 168, 330, 682, 1340, 2730, 5418, 10910, 21760, 43690, 87192, 174762, 349180, 699006, 1397418, 2796202, 5590960, 11184800, 22366890, 44739072, 89473020, 178956970, 357902670, 715827882, 1431633920, 2863310846

Offset

0,4

Links

Table of n, a(n) for n=0..33.

Formula

a(n) = Sum_{d|n} mu(n/d)*A001045(d).

a(n+3) = 3*A027375(n+3) (since the Moebius transform of (-1)^n is (-1, -1, 2, 0, 0, 0, ...)).

G.f.: Sum_{k>=1} mu(k) * x^k / (1 - x^k - 2*x^(2*k)). - Ilya Gutkovskiy, Feb 06 2020

Crossrefs

Cf. A001045, A309729.

Sequence in context: A197049 A303438 A348396 * A206140 A079162 A257593

Adjacent sequences: A104720 A104721 A104722 * A104724 A104725 A104726

Keyword

nonn

Author

Paul Barry, Mar 20 2005

Status

approved