A286178 Denominator of Sum_{i=1..n}(A285388(i)*A285389(i+1))/(A285388(i+1)*A285389(i)).

35, 255255, 100280245065, 2152114239059719935, 1952792905443446363385953865, 40347439369046572433179287578305731225, 772786810821609466400679930812513688804332910188025, 73222791895598040395939625423986137213129917738912050041051075

Offset: 1

Author

Ralf Steiner, May 04 2017

Keywords

• nonn
• frac

Comments

Conjecture: the factorization of a(n) contains all primes 5 < p < 2*(n+1)^2.

Crossrefs

Cf. A285388, A285389, A286179 (numerators).

Programs

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]]; Denominator[Table[Sum[(a388[i]/a389[i])/((a388[i + 1]/a389[i + 1])), {i, 1, n}], {n, 1, 10}]]