A369120 a(n) = Sum_{k=0..n} A369134(n, k).

-1, 1, -1, 10, -21, 1050, -45606, 6306300, -32585553, 5332033850, -646674981498, 248655336029100, -579463114572870, 400708622091878100, -31790012531476579380, 43435207772044760997000, -31514892593265599765292045, 814247185935070977732893250

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