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 A369120 a(n) = Sum_{k=0..n} A369134(n, k). 1
 -1, 1, -1, 10, -21, 1050, -45606, 6306300, -32585553, 5332033850, -646674981498, 248655336029100, -579463114572870, 400708622091878100, -31790012531476579380, 43435207772044760997000, -31514892593265599765292045, 814247185935070977732893250 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS See A369134 for comments. LINKS Table of n, a(n) for n=0..17. FORMULA a(n) / A369135(n) = Bernoulli(2*n). MATHEMATICA A368846[n_, k_] := If[k == 0, Boole[n == 0], (-1)^(n + k) 2 Binomial[2 k - 1, n] Binomial[2 n + 1, 2 k]]; Map[Total[# LCM @@ Denominator[#]]&, MapIndexed[(-1)^First[#2] Take[#, First[#2]]&, Inverse[PadRight[Table[A368846[n, k], {n, 0, 20}, {k, 0, n}]]]]] (* Paolo Xausa, Jan 16 2024 *) CROSSREFS Cf. A369134, A000367/A002445 (Bernoulli(2n)). Sequence in context: A035318 A039821 A109326 * A080454 A226789 A110367 Adjacent sequences: A369117 A369118 A369119 * A369121 A369122 A369123 KEYWORD sign AUTHOR Peter Luschny, Jan 14 2024 STATUS approved

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Last modified June 18 08:27 EDT 2024. Contains 373472 sequences. (Running on oeis4.)