A214444 Arithmetic mean of next a(n) successive squares is prime.
7, 5, 7, 5, 7, 5, 151, 29, 31, 5, 7, 101, 35, 25, 7, 5, 7, 5, 7, 5, 35, 53, 7, 25, 35, 25, 43, 5, 35, 65, 7, 65, 91, 17, 7, 65, 83, 13, 59, 173, 7, 25, 11, 13, 7, 17, 7, 25, 11, 17, 7, 65, 43, 61, 35, 17, 79, 53, 23, 29, 11, 29, 35, 101, 7, 17, 11, 29, 35, 5, 35, 25, 35
Offset: 1
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Examples
(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.
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