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 A291448 Triangle read by rows, denominators of coefficients (in rising powers) of rational polynomials P(n,x) such that Integral_{x=0..1} P'(n,x) = BernoulliMedian(n). 7
 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 5, 1, 1, 1, 3, 1, 5, 1, 7, 1, 1, 1, 3, 1, 5, 1, 7, 1, 1, 1, 1, 1, 3, 1, 1, 1, 7, 1, 1, 1, 11, 1, 1, 1, 3, 1, 5, 1, 7, 1, 1, 1, 11, 1, 13, 1, 1, 1, 3, 1, 5, 1, 1, 1, 1, 1, 11, 1, 13, 1, 1, 1, 1, 1, 3, 1, 5, 1, 1, 1, 1, 1, 11, 1, 13, 1, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 COMMENTS See A291447 and A290694 for comments. LINKS Table of n, a(n) for n=0..87. FORMULA T(n,k) = Denominator([x^k] Integral(Sum_{j=0..n}(-1)^(n-j)*Stirling2(n,j)*j!*x^j)^m) for m = 2, n >= 0 and k = 0..m*n+1. EXAMPLE Triangle starts: [1, 1] [1, 1, 1, 3] [1, 1, 1, 3, 1, 5] [1, 1, 1, 3, 1, 5, 1, 7] [1, 1, 1, 3, 1, 5, 1, 7, 1, 1] [1, 1, 1, 3, 1, 1, 1, 7, 1, 1, 1, 11] [1, 1, 1, 3, 1, 5, 1, 7, 1, 1, 1, 11, 1, 13] MAPLE # See A291447. MATHEMATICA T[n_] := Integrate[Sum[(-1)^(n-j+1) StirlingS2[n, j] j! x^j, {j, 0, n}]^2, x]; Trow[n_] := CoefficientList[T[n], x] // Denominator; Table[Trow[r], {r, 0, 7}] // Flatten CROSSREFS Cf. A164555/A027642, A212196/A181131, A291449/A291450, A290694/A290695, A291447/A291448. Sequence in context: A183096 A029356 A334019 * A114006 A050328 A191278 Adjacent sequences: A291445 A291446 A291447 * A291449 A291450 A291451 KEYWORD nonn,tabf,frac AUTHOR Peter Luschny, Aug 24 2017 STATUS approved

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Last modified May 18 15:24 EDT 2024. Contains 372664 sequences. (Running on oeis4.)