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A056788
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n^n + (n-1)^(n-1).
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5
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2, 5, 31, 283, 3381, 49781, 870199, 17600759, 404197705, 10387420489, 295311670611, 9201412118867, 311791207040509, 11414881932150269, 449005897206417391, 18884637964090410991, 845687005960046315793
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| For even n > 1, the absolute value of the discriminant of the polynomial x^n+x-1. [Corrected by Artur Jasinski, May 07 2010]
The largest known prime in this sequence is a(3) = 283.
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REFERENCES
| R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see equation (6.7).
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LINKS
| Walter Nissen, Home Page (listed in lieu of email address)
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EXAMPLE
| a(2) = 2^2 + 3^3 = 4 + 27 = 31
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MATHEMATICA
| Join[{2}, Table[n^n+(n-1)^(n-1), {n, 2, 20}]] - T. D. Noe (noe(AT)sspectra.com), Aug 13 2004
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CROSSREFS
| Cf. A000312 (n^n), A086797 (discriminant of the polynomial x^n-x-1).
Sequence in context: A056790 A192397 A097396 * A091859 A085873 A051048
Adjacent sequences: A056785 A056786 A056787 * A056789 A056790 A056791
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KEYWORD
| nonn
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AUTHOR
| Walter Nissen Aug 20 2000
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