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).

3, 24, 2, 70, 1680, 55440, 55440, 65520, 65520, 5040, 10080, 5040, 1627920, 1627920, 85680, 942480, 21677040, 492660, 107100, 64260, 621180, 1242360, 1328040, 10624320, 1328040, 14608440, 1217370, 277560360, 133506533160

Offset

1,1

References

W. Dunham, Euler: The Master of Us All, The Mathematical Association of America, Washington D.C., 1999, p. 66.

L. Euler, "Variae observationes circa series infinitas," Opera Omnia, Ser. 1, Vol. 14, pp. 216-244.

Links

Table of n, a(n) for n=1..29.

L. Euler, Variae observationes circa series infinitas

Mathematica

Table[ Denominator[ Plus@@(Take[ Select[ Range[ 2, 50 ], GCD@@(Last/@FactorInteger[ # ])==1& ]^2-1, k ]^-1) ], {k, 1, 29} ]

Crossrefs

Cf. A062757, A037450.

Sequence in context: A264929 A204578 A120085 * A047980 A084702 A367190

Adjacent sequences: A062831 A062832 A062833 * A062835 A062836 A062837

Keyword

nonn

Author

Jason Earls, Jul 21 2001

Extensions

More terms from Dean Hickerson, Jul 24, 2001

Status

approved