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A178922 a(n) = (n+1)^n - n^(n-1). 6
1, 7, 55, 561, 7151, 109873, 1979503, 40949569, 956953279, 24937424601, 717070946087, 22555076751793, 770416688131663, 28399211252136481, 1123728578581456351, 47508270371060021505, 2137250367863029663487 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..17.

FORMULA

a(n) = A000169(n+1) - A000169(n). - Alexei Kourbatov, Oct 19 2015

E.g.f.: -1 + W(-x) - W(-x)/(x*(1+W(-x))) where W is the Lambert W function. - Robert Israel, Oct 19 2015

MATHEMATICA

Table[(n+1)^n-n^(n-1), {n, 25}]

PROG

(Maxima) A178922[n]:=(n+1)^n-n^(n-1)$ makelist(A178922[n], n, 1, 30); /* Martin Ettl, Oct 29 2012 */

(PARI) vector(100, n, (n+1)^n - n^(n-1)) \\ Altug Alkan, Oct 19 2015

CROSSREFS

Cf. A000169, A007925, A084363

Sequence in context: A091695 A002882 A094905 * A306046 A112243 A083836

Adjacent sequences:  A178919 A178920 A178921 * A178923 A178924 A178925

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Dec 29 2010

STATUS

approved

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Last modified December 18 12:31 EST 2018. Contains 318229 sequences. (Running on oeis4.)