%I #9 Sep 19 2024 16:34:33
%S 49,121,169,196,225,400,441,484,676,784,900,961,1089,1225,1521,1600,
%T 1764,1849,1936,2025,2401,2704,3025,3136,3249,3600,3844,3969,4225,
%U 4356,4900,5329,5625,5929,6084,6400,7056,7225,7396,7744,8100,8281,8649,9604
%N Squares which are the sum of at least three successive terms of a geometric progression.
%C 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.
%e 49 is a member as 49=7^2 = 7 + 14 + 28.
%e 400 is a member as 400 = 20^2 = 1 + 7 + 7^2 + 7^3.
%Y Intersection of A000290 and A376298.
%K nonn,changed
%O 1,1
%A _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 14 2003
%E More terms from _David Wasserman_, Jan 03 2005
%E Offset changed by _Andrew Howroyd_, Sep 19 2024