cp's OEIS Frontend

A184763 Irregular triangle in which row n has the values of k>n such that Sum_{i=n..k} i^2 is a square.

%I A184763 #15 Jul 06 2019 15:30:23
%S A184763 24,4,580,963,29,39,56,190,2215,32,552057,22908,108,111,326,39,5345,
%T A184763 28,21,43,308,1221044,116,80,6910,48,50,73,578,624,3625,21624,59,364,
%U A184763 77,123,198,609,4087,61281,148856,48,96,349,686,11918,67,93,171,15674,147,389,3533,2132,92,3238,305,282,928,116,8516,194,22873,36554,99,276,26003,136,332
%N A184763 Irregular triangle in which row n has the values of k>n such that Sum_{i=n..k} i^2 is a square.
%C A184763 Sequence A184762 gives the length of row n. A180442 lists the nonempty rows.
%D A184763 See A180442.
%H A184763 Jon E. Schoenfield, <a href="/A184763/a184763.txt">List of all integer solutions (i.e., triples (n, k, m) where k > n and Sum_{i=n..k} i^2 = m^2) for n in 1..460 (includes a derivation of the elliptic curves and Magma code used to find the solutions)</a>
%e A184763 The triangle is
%e A184763 (row 1)  24
%e A184763 (row 3)  4, 580, 963
%e A184763 (row 7)  29, 39, 56, 190, 2215
%e A184763 (row 9)  32, 552057
%e A184763 (row 11) 22908
%e A184763 (row 13) 108
%e A184763 (row 15) 111, 326
%Y A184763 Cf. A184885 (number of squares in each sum), A184886 (sqrt of sums).
%K A184763 nonn,hard,tabf
%O A184763 1,1
%A A184763 _T. D. Noe_, Jan 21 2011