OFFSET
0,2
COMMENTS
LINKS
FORMULA
a(n) = (16+n)*(17+n)/2 - 16*17/2 = 17*n + (n-1)*n/2 = n*(n+33)/2.
G.f.: x*(17-16*x)/(1-x)^3. - Bruno Berselli, Jun 22 2012
a(n) = 17n - 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)/33 - 14606816124167/340379803249200. (End)
MATHEMATICA
Table[-17 (17 - 1)/2 + (17 + n) (16 + n)/2, {n, 0, 100}]
PROG
(Magma) [n*(n+33)/2: n in [0..49]]; // Bruno Berselli, Jun 22 2012
(PARI) a(n)=n*(n+33)/2 \\ Charles R Greathouse IV, Jun 17 2017
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Jesse Han, May 16 2012
STATUS
approved