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

1,1

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

Formula

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

Example

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

Mathematica

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

Crossrefs

Cf. A001032. Superset is A174069.

Sequence in context: A183879 A246761 A122142 * A008844 A251925 A181892

Adjacent sequences: A151554 A151555 A151556 * A151558 A151559 A151560

Keyword

nonn

Author

N. J. A. Sloane, May 21 2009

Status

approved