[seqfan] Conjectured integral representation for A057718

Vladimir Reshetnikov v.reshetnikov at gmail.com
Thu Jan 20 03:41:47 CET 2011

Dear Seqfans,

It appears that Integrate[(16 x)^k EllipticK[x] EllipticK[1 - x]/Pi^3, {x,
0, 1}] == A057718[k]. Alas, no proof for that.
Is it worth submitting to OEIS?

Vladimir Reshetnikov

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