cp's OEIS Frontend

A062834 Denominator of sum of first n terms of the series 1/3 + 1/8 + 1/24 ... in which the denominators are one less than a perfect square that cannot otherwise be written as a power (cf. A062757, A037450).

%I A062834 #10 Jul 03 2025 18:32:10
%S A062834 3,24,2,70,1680,55440,55440,65520,65520,5040,10080,5040,1627920,
%T A062834 1627920,85680,942480,21677040,492660,107100,64260,621180,1242360,
%U A062834 1328040,10624320,1328040,14608440,1217370,277560360,133506533160
%N A062834 Denominator of sum of first n terms of the series 1/3 + 1/8 + 1/24 ... in which the denominators are one less than a perfect square that cannot otherwise be written as a power (cf. A062757, A037450).
%D A062834 W. Dunham, Euler: The Master of Us All, The Mathematical Association of America, Washington D.C., 1999, p. 66.
%D A062834 L. Euler, "Variae observationes circa series infinitas," Opera Omnia, Ser. 1, Vol. 14, pp. 216-244.
%H A062834 L. Euler, <a href="http://math.dartmouth.edu/~euler/pages/E072.html">Variae observationes circa series infinitas</a>
%t A062834 Table[ Denominator[ Plus@@(Take[ Select[ Range[ 2, 50 ], GCD@@(Last/@FactorInteger[ # ])==1& ]^2-1, k ]^-1) ], {k, 1, 29} ]
%Y A062834 Cf. A062757, A037450.
%K A062834 nonn
%O A062834 1,1
%A A062834 _Jason Earls_, Jul 21 2001
%E A062834 More terms from _Dean Hickerson_, Jul 24 2001