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A117176
The Inverse-Shift-Moebius transform of [1,2,3,4,...].
2
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.
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
Sequence in context: A117467 A310025 A133097 * A212987 A217919 A127700
KEYWORD
nonn
AUTHOR
STATUS
approved