S000497


Square root of numbers that are the sum of 5 unequal squares of Lucas numbers, case 1.

4, 19, 124, 844, 5779, 39604, 271444, 1860499, 12752044, 87403804, 599074579, 4106118244, 28143753124, 192900153619, 1322157322204, 9062201101804, 62113250390419, 425730551631124, 2918000611027444, 20000273725560979, 137083915467899404

1

S000497

Mentioned in S000496. These numbers satisfy the third order linear recurrence t(n) = 8*t(n-1) - 8*t(n-2) + t(n-3).

T. D. Noe, Plot of 200 terms

T. D. Noe, Table of 200 terms

Eric W. Weisstein, MathWorld: Lucas Number

(Mma) LinearRecurrence[{8, -8, 1}, {4, 19, 124}, 40]

Cf. S000491-S000500.

nonn

T. D. Noe, Feb 24 2015

© Tony D Noe 2014-2015