[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
login
A178922
a(n) = (n+1)^n - n^(n-1) for n > 0, a(0) = 1.
6
1, 1, 7, 55, 561, 7151, 109873, 1979503, 40949569, 956953279, 24937424601, 717070946087, 22555076751793, 770416688131663, 28399211252136481, 1123728578581456351, 47508270371060021505, 2137250367863029663487, 101941438738172545000873, 5138752649702088758467159
OFFSET
0,3
FORMULA
a(n) = A152917(n+1) - A152917(n). - Alexei Kourbatov, Oct 19 2015
E.g.f.: W(-x) - W(-x)/(x*(1+W(-x))) where W is the Lambert W function. - Robert Israel, Oct 19 2015
MAPLE
a:= n-> (f-> f(n+1)-f(n))(n-> `if`(n=0, 0, n^(n-1))):
seq(a(n), n=0..20); # Alois P. Heinz, Feb 26 2020
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
KEYWORD
nonn
AUTHOR
EXTENSIONS
a(0)=1 prepended and definition adapted by Alois P. Heinz, Feb 26 2020
STATUS
approved