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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
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
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.)