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 A291450 Denominators of Integral_{x=0..1} P(n, x)^3 with P(n, x) = Sum_{k=0..n}(-1)^(n-k)* Stirling2(n, k)*k!*x^k. 6
 1, 4, 140, 28, 20020, 4004, 6466460, 184756, 148728580, 29745716, 133706993420, 2431036244, 449741705140, 31885268, 670910837521540, 134182167504308, 409926521725660940, 4822664961478364, 1278006214791766460, 1921813856829724, 242081282475556183660, 4401477863191930612 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS See A291449 and A290694 for comments. LINKS MAPLE # Function BG_row is defined in A290694. seq(BG_row(3, n, "den", "val"), n=0..20); MATHEMATICA P[n_, x_] := Sum[(-1)^(n-k)*StirlingS2[n, k]*k!*x^k, {k, 0, n}]; a[n_] := Integrate[P[n, x]^3, {x, 0, 1}] // Denominator; Table[a[n], {n, 0, 21}] (* Jean-François Alcover, Jun 15 2019 *) CROSSREFS Cf. A164555/A027642, A212196/A181131, A291449/A291450, A290694/A290695, A291447/A291448. Sequence in context: A029850 A221675 A340838 * A093981 A055304 A270065 Adjacent sequences: A291447 A291448 A291449 * A291451 A291452 A291453 KEYWORD nonn,frac AUTHOR Peter Luschny, Aug 24 2017 STATUS approved

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Last modified March 28 17:47 EDT 2023. Contains 361596 sequences. (Running on oeis4.)