A151557 Squares which are the sum of two or more consecutive squares.

25, 841, 4900, 5929, 8464, 11236, 19044, 20449, 24964, 28561, 33124, 38025, 60025, 64009, 75076, 127449, 148225, 170569, 184900, 193600, 245025, 281961, 422500, 425104, 429025, 461041, 524176, 620944, 632025, 970225, 1024144, 1044484, 1113025, 1283689

Offset: 1

Author

N. J. A. Sloane, May 21 2009

Keywords

• nonn

Examples

			25 = 5^2 = 3^2 + 4^2
841 = 29^2 = 20^2 + 21^2
4900 is the sum of the first 24 squares.
		

Links

• Donovan Johnson, Table of n, a(n) for n = 1..5077 (terms < 10^15)
• Thomas Andrews, Sum of consecutive squares equal to a square
• K. S. Brown, Sum of Consecutive Nth Powers Equals an Nth Power
• Index entries for sequences related to sums of squares

Crossrefs

Cf. A001032. Superset is A174069.

Programs

Mathematica

(* First run the program for A097812 *) Union[A097812]^2 (* Alonso del Arte, Nov 19 2012 *)

Formula

a(n) = A097812(n)^2.