|
Search: id:A062834
|
|
|
| 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). |
|
+0
4
|
|
| 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
(list; graph; listen)
|
|
|
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
|
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: A166315 A113577 A120085 this_sequence A002980 A047980 A084702
Adjacent sequences: A062831 A062832 A062833 this_sequence A062835 A062836 A062837
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Jason Earls (zevi_35711(AT)yahoo.com), Jul 21 2001
|
|
EXTENSIONS
|
More terms from Dean Hickerson (dean.hickerson(AT)yahoo.com), Jul 24, 2001
|
|
|
Search completed in 0.002 seconds
|
