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 A265603 Triangle read by rows, the denominators of the Bell transform of B(2n,1) where B(n,x) are the Bernoulli polynomials. 3
 1, 1, 1, 1, 6, 1, 1, 30, 2, 1, 1, 42, 20, 1, 1, 1, 30, 63, 12, 3, 1, 1, 66, 1260, 504, 12, 2, 1, 1, 2730, 495, 360, 72, 4, 2, 1, 1, 6, 900900, 5940, 432, 2, 30, 3, 1, 1, 510, 15015, 1351350, 990, 80, 6, 10, 1, 1, 1, 798, 5105100, 360360, 154440, 1056, 80, 12, 2, 2, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS For the definition of the Bell transform see A264428 and the link given there. LINKS Table of n, a(n) for n=0..65. EXAMPLE 1, 1, 1, 1, 6, 1, 1, 30, 2, 1, 1, 42, 20, 1, 1, 1, 30, 63, 12, 3, 1, 1, 66, 1260, 504, 12, 2, 1, 1, 2730, 495, 360, 72, 4, 2, 1, 1, 6, 900900, 5940, 432, 2, 30, 3, 1, 1, 510, 15015, 1351350, 990, 80, 6, 10, 1, 1. MAPLE A265603_triangle := proc(n) local B, C, k; B := BellMatrix(x -> bernoulli(2*x, 1), n); # see A264428 for k from 1 to n do C := LinearAlgebra:-Row(B, k): print(seq(denom(C[j]), j=1..k)) od end: A265603_triangle(10); MATHEMATICA BellMatrix[f_, len_] := With[{t = Array[f, len, 0]}, Table[BellY[n, k, t], {n, 0, len - 1}, {k, 0, len - 1}]]; rows = 12; B = BellMatrix[BernoulliB[2#, 1]&, rows]; Table[B[[n, k]] // Denominator, {n, 1, rows}, {k, 1, n}] // Flatten (* Jean-François Alcover, Jun 27 2018, from Maple *) CROSSREFS Cf. A265602 for the numerators, A265314 and A265315 for B(n,1). Cf. A002445 (column 1). Sequence in context: A201461 A340475 A368848 * A174186 A111578 A166349 Adjacent sequences: A265600 A265601 A265602 * A265604 A265605 A265606 KEYWORD nonn,tabl,frac AUTHOR Peter Luschny, Jan 21 2016 STATUS approved

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Last modified June 14 12:19 EDT 2024. Contains 373400 sequences. (Running on oeis4.)