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A056788 n^n + (n-1)^(n-1). +0
6
2, 5, 31, 283, 3381, 49781, 870199, 17600759, 404197705, 10387420489, 295311670611, 9201412118867, 311791207040509, 11414881932150269, 449005897206417391, 18884637964090410991, 845687005960046315793 (list; graph; listen)
OFFSET

1,1

COMMENT

For n > 1, the absolute value of the discriminant of the polynomial x^n+x-1.

The largest known prime in this sequence is a(3) = 283.

REFERENCES

R. P. Stanley, Enumerative Combinatorics, Cambridge, Vol. 2, 1999; see equation (6.7).

LINKS

Walter Nissen, Home Page (listed in lieu of email address)

EXAMPLE

a(2) = 2^2 + 3^3 = 4 + 27 = 31

MATHEMATICA

Join[{2}, Table[n^n+(n-1)^(n-1), {n, 2, 20}]] - T. D. Noe (noe(AT)sspectra.com), Aug 13 2004

CROSSREFS

Cf. A000312 (n^n), A086797 (discriminant of the polynomial x^n-x-1).

Sequence in context: A032112 A058009 A097396 this_sequence A091859 A085873 A051048

Adjacent sequences: A056785 A056786 A056787 this_sequence A056789 A056790 A056791

KEYWORD

nonn

AUTHOR

Walter Nissen Aug 20 2000

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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