A175702 Convolution square of the Liouville sequence A008836.

1, -2, -1, 4, -3, 2, -1, -4, 9, -2, -5, 0, 1, 6, 3, -8, -3, 2, 7, -4, 1, -2, -1, 12, 1, -10, -5, -8, 13, 10, -1, -12, 1, 6, 3, 0, -7, 6, 11, -8, -3, -6, -1, -4, -3, 2, 7, 12, 21, -14, -5, -16, -7, 22, -5, -8, -3, 2, 19, 16, -7, -10, 7, -4, -3, -22, -9, -12, 13, 10, 7, 12, 5, 10, -9

Offset: 1

Author

Michel Lagneau, Aug 10 2010

Keywords

• sign

Crossrefs

Cf. A002819, A007421

Programs

Maple

with(numtheory): T:=array(1..200):for p from 1 to 200 do: T[p] :=(-1)^bigomega(p): od :for n from 1 to 100 do: printf(`%d, `, sum (T[k]*T[n+1-k],k=1..n)):od:

Formula

a(n)= Sum_{k=1..n} lambda(k)*lambda(n+1-k).

Extensions

Definition slightly rephrased, keyword:sign added - R. J. Mathar, Aug 19 2010