A300164 -id:A300164 - cp's OEIS frontend

A299707 Numbers m such that m^2 + 1 can be expressed in more than one way as j^2 + k^2 with j > k > 1.

18, 32, 38, 43, 47, 57, 68, 70, 72, 73, 82, 83, 93, 98, 99, 107, 112, 117, 118, 122, 123, 128, 132, 133, 138, 142, 143, 148, 157, 162, 168, 172, 173, 174, 177, 182, 183, 187, 191, 192, 193, 200, 203, 207, 208, 212, 213, 216, 217, 218, 228, 232, 233, 237, 242, 243, 251, 252

Offset: 1

Hugo Pfoertner, Feb 27 2018

nonn

			a(1) = 18: 18^2 + 1 = 325 = 17^2 + 6^2 = 15^2 + 10^2,
a(2) = 32: 32^2 + 1 = 1025 = 31^2 + 8^2 = 25^2 + 20^2,
a(5) = 47: 47^2 + 1 = 2210 = 43^2 + 19^2 = 41^2 + 23^2 = 37^2 + 29^2.

Hugo Pfoertner, Table of n, a(n) for n = 1..10000

Cf. A050796, A299708, A300161, A300162, A300163, A300164, A300165, A300166.

A299708 Numbers of the form m^2 + 1 that can be expressed in more than one way as j^2 + k^2 with j > k > 1.

Original entry on oeis.org

325, 1025, 1445, 1850, 2210, 3250, 4625, 4901, 5185, 5330, 6725, 6890, 8650, 9605, 9802, 11450, 12545, 13690, 13925, 14885, 15130, 16385, 17425, 17690, 19045, 20165, 20450, 21905, 24650, 26245, 28225, 29585, 29930, 30277, 31330, 33125, 33490

Offset: 1

Hugo Pfoertner, Feb 27 2018

nonn

			a(1) = 325 = A299707(1)^2 + 1 = 18^2 + 1 is expressible in two ways:
  325 = 17^2 + 6^2 = 15^2 + 10^2.

Hugo Pfoertner, Table of n, a(n) for n = 1..10000

Cf. A050796, A299707, A300161, A300162, A300163, A300164, A300165, A300166.

cp's OEIS Frontend

A299707 Numbers m such that m^2 + 1 can be expressed in more than one way as j^2 + k^2 with j > k > 1.

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