S000278


Numbers beginning 26 consecutive numbers whose squares sum to a square.

25, 301, 454, 3850, 31966, 47569, 393925, 3261481, 4852834, 40177750, 332640346, 494942749

1

S000278

We do not have enough terms to determine the recursion formula.

T. D. Noe, Plot of 12 terms

Moshe Laub, Squares Expressible as a Sum of n Consecutive Squares, Advanced Problem 6552, Amer. Math. Monthly 97 (1990), 622-625.

The smallest example is 25^2 + 26^2 + … + 50^2 = 195^2.

(Mma) g[m0_, m1_] := (1 - m0 + m1) (-m0 + 2 m0^2 + m1 + 2 m0 m1 + 2 m1^2)/6; Select[Range[100000], IntegerQ[Sqrt[g[#, # + 26 - 1]]] &]

Cf. A001032A001652A106521A094196, S000277-S000283S000284.

nonn,more

T. D. Noe, Oct 08 2014

© Tony D Noe 2014-2015