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Search: id:A062965
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| A062965 |
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Positive numbers which are one less than a perfect square that is also another power. |
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+0
2
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| 15, 63, 80, 255, 624, 728, 1023, 1295, 2400, 4095, 6560, 9999, 14640, 15624, 16383, 20735, 28560, 38415, 46655, 50624, 59048, 65535, 83520, 104975, 117648, 130320, 159999, 194480, 234255, 262143, 279840, 331775, 390624, 456975, 531440, 614655
(list; graph; listen)
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OFFSET
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1,1
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REFERENCES
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W. Dunham, Euler: The Master of Us All, The Mathematical Association of America, Washington D.C., 1999, p. 65.
L. Euler, "Variae observationes circa series infinitas," Opera Omnia, Ser. 1, Vol. 14, pp. 216-244.
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LINKS
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L. Euler, Variae observationes circa series infinitas
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EXAMPLE
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a(2)=63 because the perfect square 64= 8^2 = 4^3.
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MATHEMATICA
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Table[ Denominator[ Plus@@(Take[ Select[ Range[ 2, 150 ], GCD@@(Last/@FactorInteger[ # ])>1& ]^2-1, k ]^-1) ], {k, 1, 16} ]
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CROSSREFS
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Cf. A037450, A062834, A062757, A001597.
Adjacent sequences: A062962 A062963 A062964 this_sequence A062966 A062967 A062968
Sequence in context: A067572 A066584 A065915 this_sequence A104473 A135972 A119496
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KEYWORD
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nonn
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AUTHOR
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Jason Earls (jcearls(AT)cableone.net), Jul 16 2001
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EXTENSIONS
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More terms from Dean Hickerson (dean(AT)math.ucdavis.edu), Jul 24, 2001
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