A207060 Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+401)^2 = y^2.

0, 259, 496, 1203, 2596, 3939, 8020, 16119, 23940, 47719, 94920, 140503, 279096, 554203, 819880, 1627659, 3231100, 4779579, 9487660, 18833199, 27858396, 55299103, 109768896, 162371599, 322307760, 639780979, 946372000, 1878548259, 3728917780, 5515861203

Offset

1,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Wikipedia, Diophantine equation

MathWorld, Diophantine equation

Index entries for linear recurrences with constant coefficients, signature (1,0,6,-6,0,-1,1).

Formula

G.f.: x^2*(161*x^5+79*x^4+161*x^3-707*x^2-237*x-259)/((x-1)*(x^6-6*x^3+1)). - Colin Barker, Aug 05 2012

Mathematica

LinearRecurrence[ {1, 0, 6, -6, 0, -1, 1}, {0, 259, 496, 1203, 2596, 3939, 8020}, 50]

Crossrefs

Cf. A204765, A205644, A205672, A207058, A207059.

Sequence in context: A246243 A066129 A101521 * A037987 A185673 A082788

Adjacent sequences: A207057 A207058 A207059 * A207061 A207062 A207063

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Feb 14 2012

Status

approved