A084733 Squares which are the sum of at least three successive terms of a geometric progression.

49, 121, 169, 196, 225, 400, 441, 484, 676, 784, 900, 961, 1089, 1225, 1521, 1600, 1764, 1849, 1936, 2025, 2401, 2704, 3025, 3136, 3249, 3600, 3844, 3969, 4225, 4356, 4900, 5329, 5625, 5929, 6084, 6400, 7056, 7225, 7396, 7744, 8100, 8281, 8649, 9604

Offset: 1

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 14 2003

Keywords

• nonn

Comments

The partial sums of three or more successive terms of the sequence (2^n), 1,2,4,8,16,32,... is given by 7,14,15,28,30,31,...hence the square of the terms of this sequence are members. The same can be extended for any sequence of the form k^n.

Examples

			49 is a member as 49=7^2 = 7 + 14 + 28.
400 is a member as 400 = 20^2 = 1 + 7 + 7^2 + 7^3.
		

Crossrefs

Intersection of A000290 and A376298.

Extensions

More terms from David Wasserman, Jan 03 2005

Offset changed by Andrew Howroyd, Sep 19 2024