A117176 The Inverse-Shift-Moebius transform of [1,2,3,4,...].

1, 3, 5, 8, 10, 16, 16, 24, 27, 35, 35, 51, 45, 65, 70, 79, 77, 107, 96, 132, 128, 146, 145, 193, 169, 211, 218, 251, 235, 308, 262, 335, 330, 373, 377, 449, 384, 483, 489, 555, 507, 638, 559, 696, 682, 726, 709, 873, 765, 923, 894, 995, 945, 1159, 1050, 1223

Offset

1,2

Comments

See triangle A117170 for the definition of the Inverse-Shift-Moebius transform.

Links

Table of n, a(n) for n=1..56.

Formula

a(n) = Sum_{k=1,n} A117170(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+i)%(c+i)==0, 1, 0))))[n, k]*k)}

Crossrefs

Cf. A117170, A117175.

Sequence in context: A117467 A310025 A133097 * A212987 A217919 A127700

Adjacent sequences: A117173 A117174 A117175 * A117177 A117178 A117179

Keyword

nonn

Author

Wouter Meeussen and Paul D. Hanna, Mar 05 2006

Status

approved