A117175 The Shift-Moebius transform of [1,2,3,4,...].

1, 1, 1, 1, 1, 0, 1, 0, -1, -2, 0, -3, 0, -5, -6, -4, -2, -7, -3, -8, -7, -6, -4, -9, -5, -9, -10, -9, -2, -9, 3, -2, -4, -4, -7, -2, 9, 2, -7, 2, 9, 5, 14, 10, 7, 21, 20, 20, 28, 21, 20, 28, 35, 31, 28, 44, 45, 56, 50, 53, 65, 62, 37, 61, 54, 66, 69, 71, 59, 75, 83, 93, 97, 92, 60, 87, 74, 99, 95, 106, 98, 117, 104, 102

Offset

1,10

Comments

See triangle A117165 for the definition of the Shift-Moebius transform.

Links

Table of n, a(n) for n=1..84.

Formula

a(n) = Sum_{k=1,n} A117165(n,k)*k.

Prog

(PARI) {a(n)=sum(k=1, n, prod(i=0, n, matrix(n, n, r, c, if(r>=c, if((r+n-i)%(c+n-i)==0, moebius((r+n-i)/(c+n-i)), 0))))[ n, k]*k)}

Crossrefs

Cf. A117165, A117176.

Sequence in context: A011013 A138325 A258323 * A228086 A090482 A082857

Adjacent sequences: A117172 A117173 A117174 * A117176 A117177 A117178

Keyword

sign

Author

Wouter Meeussen and Paul D. Hanna, Mar 05 2006

Status

approved