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 A323340 Denominator of the sum of inverse products of parts in all compositions of n. 9
 1, 1, 2, 3, 3, 60, 360, 70, 1680, 3780, 75600, 138600, 285120, 129729600, 363242880, 3405402000, 1009008000, 308756448000, 5557616064000, 52797352608000, 351982350720000, 221748880953600, 1524523556556000, 738190353700800, 13464592051502592000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Denominators of the INVERT transform of reciprocal integers. LINKS Alois P. Heinz, Table of n, a(n) for n = 0..506 FORMULA a(n) = denominator( A007840(n)/n! ). MAPLE b:= proc(n) option remember; `if`(n=0, 1, add(b(n-j)/j, j=1..n)) end: a:= n-> denom(b(n)): seq(a(n), n=0..25); MATHEMATICA nmax = 20; Denominator[CoefficientList[Series[1/(1 + Log[1-x]), {x, 0, nmax}], x]] (* Vaclav Kotesovec, Feb 12 2024 *) CROSSREFS See A323339 for more information. Cf. A000142, A007840. Sequence in context: A242786 A214219 A365223 * A280895 A088266 A116889 Adjacent sequences: A323337 A323338 A323339 * A323341 A323342 A323343 KEYWORD nonn,frac AUTHOR Alois P. Heinz, Jan 11 2019 STATUS approved

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Last modified May 26 07:52 EDT 2024. Contains 372807 sequences. (Running on oeis4.)