cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A180259 Squares which are the sum of consecutive squares starting with 25^2.

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%I A180259 #31 Aug 10 2023 18:35:26
%S A180259 625,33124,38025,127449,64529089,81180100,15884821225,3370675683600
%N A180259 Squares which are the sum of consecutive squares starting with 25^2.
%C A180259 That is, terms are squares of the form sum_{i=25..m} i^2 = (m-24) *(2*m^2+51*m+1225) / 6 for some m. Known solutions refer to m = 25, 48, 50, 73, 578, 624, 3625 and 21624, and no further in the range m <= 70000000.
%C A180259 This sequence is complete. See A180442 and A184763.
%e A180259 38025 is in the sequence because 38025 = 195^2 = 25^2 + 26^2 + ... + 50^2.
%t A180259 Select[Accumulate[Range[25, 22000]^2], IntegerQ[Sqrt[#]] &] (* _Harvey P. Dale_, Aug 10 2023 *)
%o A180259 (PARI) for(n=26,9999999,t=n*(n+1)*(2*n+1)/6-4900;if(issquare(t),print1(t,",")))
%Y A180259 Cf. A001032, A094196, A151557, A180273.
%K A180259 nonn,fini,full
%O A180259 1,1
%A A180259 _Zhining Yang_, Jan 17 2011