OFFSET
1,1
COMMENTS
Corresponding primes (and arithmetic means):
13, 83, 229, 443, 733, 1091, 14221, 40471, 53441, 62003, 65029, 96331, 142231, 165701, 178933, 184043, 189229, 194483, 199813, 205211, 223831, 267523, 299213, 317021, 351751, 388181, 431803, 463763, 491503, 564353, 619373
Conjecture: for some k and x, a(n)=A214451(n+x) for n>k.
EXAMPLE
(0+1+4+9+16+25+36)/7 = 13, so a(1)=7. The next set of successive squares with prime arithmetic mean: (7^2 + 8^2 + 9^2 +100 + 11^2)/5 = 83, so a(2)=5.
CROSSREFS
KEYWORD
nonn
AUTHOR
Alex Ratushnyak, Jul 18 2012
STATUS
approved