OFFSET
1,3
COMMENTS
Eigensequence of a triangle with mu(k) as the left border, the natural numbers (1, 2, 3, ...) as the right border; and the rest zeros. - Gary W. Adamson, Aug 01 2016
a(450) has 1000 decimal digits. - Michael De Vlieger, Aug 01 2016
LINKS
Michael De Vlieger, Table of n, a(n) for n = 1..450
EXAMPLE
The Moebius function (A008683) starts 1, -1, -1, 0, -1, so the sum in the definition is mu(1)/1! + mu(2)/2! + mu(3)/3! + mu(4)/4! + mu(5)/5! = 1/1 - 1/2 - 1/6 + 0/24 - 1/120 = 13/40. So a(5) = 5! * (13/40) = 39. - Michael B. Porter, Aug 02 2016
MATHEMATICA
Table[n! Sum[MoebiusMu[k]/k!, {k, n}], {n, 20}] (* or *)
Flatten@ MapIndexed[#2! #1 &, Accumulate@ Table[MoebiusMu[k]/k!, {k, 450}]] (* useful for n > 1000, Michael De Vlieger, Aug 01 2016 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Leroy Quet, Mar 22 2002
STATUS
approved