

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
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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. 216244.


LINKS



MATHEMATICA

Table[ Denominator[ Plus@@(Take[ Select[ Range[ 2, 50 ], GCD@@(Last/@FactorInteger[ # ])==1& ]^21, k ]^1) ], {k, 1, 29} ]


CROSSREFS



KEYWORD

nonn


AUTHOR



EXTENSIONS



STATUS

approved



