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Irregular triangle in which row n has the values of k>1 such that sum_{i=n..n+k-1} i^2 is a square.
2

%I #6 Mar 30 2012 17:22:57

%S 24,2,578,961,23,33,50,184,2209,24,552049,22898,96,97,312,23,5329,11,

%T 2,24,289,1221025,96,59,6889,24,26,49,554,600,3601,21600,33,338,50,96,

%U 169,578,4056,61250,148825,11,59,312,649,11881,24,50,122,15625,96,338,3479,2075,33,3179,242,218,864,50,8450,122,22801,36481,24,194,25921,50,242

%N Irregular triangle in which row n has the values of k>1 such that sum_{i=n..n+k-1} i^2 is a square.

%C That is, this sequence gives the number of squares in the sums described in A184763. Sequence A184762 gives the length of row n. A180442 lists the nonempty rows. All these numbers must appear in A001032.

%F Row n = row n of A184763 minus n-1.

%e The triangle is

%e (row 1) 24

%e (row 3) 2, 578, 961

%e (row 7) 23, 33, 50, 184, 2209

%e (row 9) 24, 552049

%e (row 11) 22898

%e (row 13) 96

%e (row 15) 97, 312

%K nonn,tabf,hard

%O 1,1

%A _T. D. Noe_, Jan 24 2011