116929

Properties

Appears in sequences

• Triangle read by rows: T(n,k) = numerator of P(n, k) = 1 - n!/(n^k*(n-k)!).at n=20A089204
• Triangle read by rows: T(n,k) = (1/k) times the number of functions from an n-element set into but not onto a k-element set.at n=27A101031
• a(n) = (n+1)^n - n!.at n=5A126130
• a(n) is the number of nonnegative integers k less than 10^n such that the decimal representation of k lacks digits 1,2,3 and at least one of digits 4,5,6,7,8,9.at n=5A126627
• Primes of the form prime(x)*prime(x+1) - (prime(x+1)-prime(x)).at n=12A140120
• Beginnings of maximal chains of primes with four members (three links).at n=25A152867
• G.f.: Product_{n>=1} (1 + a(n)*x^n/n!) = Sum_{n>=0} (n+1)^(n-1)*x^n/n! = LambertW(-x)/(-x).at n=6A159310
• G.f.: 1/Product_{n>=1} (1 - a(n)*x^n/n!) = Sum_{n>=0} (n+1)^(n-1)*x^n/n!.at n=6A159313
• a(n) is the greatest prime factor of n^n - n!.at n=5A359950
• Prime numbersat n=11038