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%I #21 May 02 2018 10:15:52
%S 1,9,25,4,81,121,169,225,9,361,36,25,625,729,841,16,1089,100,1369,
%T 1521,196,1849,2025,49,25,81,2809,3025,3249,3481,3721,324,4225,4489,
%U 225,36,324,5625,484,81,6561,6889,225,7569,441,676,144,9025,49,9801
%N Let j be the smallest integer for which n+(n+1)+...+(n+j) is a square; sequence gives the squares.
%C Basis for sequence is shortest arithmetic sequence with initial term n and difference 1 that sums to a perfect square. Cf. A100251, A100252, A100253, A100254.
%H Shawn A. Broyles, <a href="/A101158/b101158.txt">Table of n, a(n) for n = 1..1000</a>
%F n+(n+1)+...+(n+A101160(n)) = n+(n+1)+...+A101159(n) = A101157(n)^2 = a(n).
%F a(n^2) = n^2. - _Michel Marcus_, Jun 28 2013
%e a(11)=36 since 11+12+13 = 36.
%Y Cf. A101157, A101159, A101160.
%K nonn
%O 1,2
%A _Charlie Marion_, Dec 29 2004
%E a(21) corrected by _Michel Marcus_, Jun 29 2013
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