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A062965 Positive numbers which are one less than a perfect square that is also another power. 1
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; refs; listen; history; text; internal format)
OFFSET

1,1

REFERENCES

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.

LINKS

Table of n, a(n) for n=1..36.

L. Euler, Variae observationes circa series infinitas

EXAMPLE

a(2)=63 because the perfect square 64 = 8^2 = 4^3.

MATHEMATICA

Take[ Select[ Range[ 2, 150 ], GCD@@(Last/@FactorInteger[ # ])>1& ]^2-1] (* corrected by Jon Maiga, Sep 28 2019 *)

CROSSREFS

Cf. A037450, A062834, A062757, A001597.

Sequence in context: A067572 A066584 A065915 * A157968 A141759 A305616

Adjacent sequences:  A062962 A062963 A062964 * A062966 A062967 A062968

KEYWORD

nonn

AUTHOR

Jason Earls, Jul 16 2001

EXTENSIONS

More terms from Dean Hickerson, Jul 24 2001

STATUS

approved

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Last modified February 27 12:47 EST 2020. Contains 332306 sequences. (Running on oeis4.)