A300161 Numbers n such that n^2 + 1 can be expressed as j^2 + k^2, j > k > 1, in more ways than for any smaller n.

8, 18, 47, 132, 242, 268, 993, 1568, 3957, 5257, 14318, 18543, 43932, 66347, 72662, 161832, 330182, 1413443, 1732593, 2298668, 3315268, 9548768, 15926318, 24310918, 27028568, 51853693, 162166243, 420024818, 472936732, 599832943, 1892369318

Offset: 1

Author

Hugo Pfoertner, Feb 27 2018

Keywords

• nonn
• more

Examples

			a(1) = 8: 8^2 + 1 = 65 = 7^2 + 4^2,
a(2) = 18: 18^2 + 1 = 325 = 17^2 + 6^2 = 15^2 + 10^2,
a(3) = 47: 47^2 + 1 = 2210 = 43^2 + 19^2 = 41^2 + 23^2 = 37^2 + 29^2,
a(4) = 132: 132^2 + 1 = 17425 = 129^2 + 28^2 = 127^2 + 36^2 = 120^2 + 55^2 = 116^2 + 63^2 = 105^2 + 80^2.
		

Crossrefs

Cf. A050796, A299707, A299708, A300162, A300163.

Extensions

a(17) from Hugo Pfoertner, Mar 08 2018

a(18)-a(21) from Robert Price, Mar 10 2018

a(22)-a(31) from Giovanni Resta, Mar 13 2018