OFFSET
1,1
COMMENTS
From a quiz. Next term is 8.5.
LINKS
A. Frank and P. Jacqueroux, International Contest, 2001. Item 27.
EXAMPLE
a(1) = 208;
a(2) = (208 + 2)/1 = 210;
a(3) = (210 + 6)/2 = 108;
a(4) = (108 + 12)/3 = 40;
a(5) = (40 + 20)/4 = 15;
a(6) = (15 + 30)/5 = 9;
a(7) would be (9 + 42)/6 = 8.5, but that is not an integer.
MATHEMATICA
nxt[{n_, a_}]:={n+1, (a+n(n+1))/n}; NestList[nxt, {1, 208}, 5][[All, 2]] (* Harvey P. Dale, Dec 04 2016 *)
PROG
(PARI) a=208; for(n=1, 7, print1(a, ", "); a=(a+n*(n+1))/n)
CROSSREFS
KEYWORD
nonn
AUTHOR
Herman Jamke (hermanjamke(AT)fastmail.fm), Sep 30 2006
STATUS
approved