The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A332466 a(n) = n! * Sum_{d|n} mu(d) / d!. 2
 1, 1, 5, 12, 119, 241, 5039, 20160, 302400, 1784161, 39916799, 160332480, 6227020799, 43571848321, 1078831353601, 10461394944000, 355687428095999, 2143016754278400, 121645100408831999, 1196177491129420800, 42565648051390464001, 562000335730215782401 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS FORMULA E.g.f.: Sum_{k>=1} Sum_{j>=1} mu(j) * x^(k*j) / j!). E.g.f.: Sum_{k>=1} mu(k) * x^k / (k!*(1 - x^k)). MAPLE with(numtheory): a:= n-> n! * add(mobius(d)/d!, d=divisors(n)): seq(a(n), n=1..23); # Alois P. Heinz, Feb 13 2020 MATHEMATICA Table[n! DivisorSum[n, MoebiusMu[#]/#! &], {n, 1, 22}] nmax = 22; CoefficientList[Series[Sum[MoebiusMu[k] x^k/(k! (1 - x^k)), {k, 1, nmax}], {x, 0, nmax}], x] Range[0, nmax]! // Rest PROG (PARI) a(n)={sumdiv(n, d, moebius(d)*n!/d!)} \\ Andrew Howroyd, Feb 13 2020 CROSSREFS Cf. A008683, A057625, A068107, A099740, A132958, A332467. Sequence in context: A267271 A009754 A096314 * A323565 A195538 A330218 Adjacent sequences: A332463 A332464 A332465 * A332467 A332468 A332469 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Feb 13 2020 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 9 10:28 EST 2022. Contains 358700 sequences. (Running on oeis4.)