A286179 Numerator of Sum_{i=1..n}(A285388(i)*A285389(i+1))/((A285388(i+1)*A285389(i)).

32, 484256, 289919598688, 8368036149759509152, 9542829935669464786892890208, 237478537202498785375436854135610527328, 5320823767933620492346565093167366807147013946077792, 577349384176263735966013123947670534373854750755384636719202336

Offset

1,1

Comments

Conjecture: floor(a(n)/A286178(n)) = n.

Links

Table of n, a(n) for n=1..8.

Mathematica

a388[i_] := Numerator[2^(1 - 2 i^2) i Binomial[2 i^2, i^2]]; a389[i_] := Denominator[2^(1 - 2 i^2) i Binomial[2 i^2, i^2]]; Numerator[Table[Sum[(a388[i]/a389[i])/((a388[i + 1]/a389[i + 1])), {i, 1, n}], {n, 1, 10}]]

Crossrefs

Cf. A285388, A285389, A286178 (denominators).

Sequence in context: A228427 A186010 A017417 * A017549 A217027 A087927

Adjacent sequences: A286176 A286177 A286178 * A286180 A286181 A286182

Keyword

nonn,frac

Author

Ralf Steiner, May 04 2017

Status

approved