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

1,1

Links

Table of n, a(n) for n=1..31.

Example

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.

Sequence in context: A211527 A279899 A192311 * A034714 A153388 A109988

Adjacent sequences: A300158 A300159 A300160 * A300162 A300163 A300164

Keyword

nonn,more

Author

Hugo Pfoertner, Feb 27 2018

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

Status

approved