OFFSET
0,2
LINKS
FORMULA
If we define f(n,i,a) = sum_{k=0..n-i} (binomial(n,k)*stirling1(n-k,i)*product_{j=0..k-1} (-a-j)), then a(n) = -f(n,n-1,15), for n>=1. - Milan Janjic, Dec 20 2008
a(n) = n + a(n-1) + 14 with n>0, a(0)=0. - Vincenzo Librandi, Aug 03 2010
From Colin Barker, Mar 18 2012: (Start)
a(n) = 3*a(n-1) - 3*a(n-2) + a(n-3).
G.f.: x*(15-14*x)/(1-x)^3. (End)
a(n) = 15n - floor(n/2) + floor(n^2/2). - Wesley Ivan Hurt, Jun 15 2013
From Amiram Eldar, Jan 11 2021: (Start)
Sum_{n>=1} (-1)^(n+1)/a(n) = 4*log(2)/29 - 236266661971/4824542665800. (End)
MATHEMATICA
i=-14; s=0; lst={}; Do[s+=n+i; If[s>=0, AppendTo[lst, s]], {n, 0, 6!, 1}]; lst (* Vladimir Joseph Stephan Orlovsky, Oct 29 2008 *)
PROG
(PARI) a(n)=n*(n+29)/2 \\ Charles R Greathouse IV, Jun 17 2017
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Omar E. Pol, Aug 28 2007
STATUS
approved