login
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
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.
MATHEMATICA
Table[ Denominator[ Plus@@(Take[ Select[ Range[ 2, 50 ], GCD@@(Last/@FactorInteger[ # ])==1& ]^2-1, k ]^-1) ], {k, 1, 29} ]
CROSSREFS
Sequence in context: A264929 A204578 A120085 * A047980 A084702 A367190
KEYWORD
nonn
AUTHOR
Jason Earls, Jul 21 2001
EXTENSIONS
More terms from Dean Hickerson, Jul 24, 2001
STATUS
approved