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.
%I A352225 #35 Feb 16 2025 08:34:03 %S A352225 -360,-197,-362,-2805,-3866,-10081,-29511,-5905,-227790,-10012,-24548, %T A352225 -28995,-875133,-73040,-615709,-457027,-3044074,-17549681,-4232837, %U A352225 -4999714,-13724102460,-94822721073 %N A352225 Second numbers F = a(n) of two non-consecutive numbers (E, F) different from (C, D) = (A352222(n), A352223(n)), such that the sums of their cubes are equal to centered cube numbers and to at least one other sum of two cubes, i.e. A = B^3 + (B+1)^3 = C^3 + D^3 = E^3 + F^3. %C A352225 Numbers F such that A = B^3 + (B+1)^3 = C^3 + D^3 = E^3 + F^3 with C <> (D +- 1), E <> (F +- 1), E > C > B, C > |D| and E > |F|, where A = A352220(n), B = A352221(n), C = A352222(n), D = A352223(n), E = A352224(n) and F = a(n) (this sequence). %C A352225 Terms are ordered according to increasing order of A352220(n) or A352221(n). %H A352225 A. Grinstein, <a href="https://web.archive.org/web/20040320144821/http://zadok.org/mattandloraine/1729.html">Ramanujan and 1729</a>, University of Melbourne Dept. of Math and Statistics Newsletter: Issue 3, 1998. %H A352225 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CenteredCubeNumber.html">Centered Cube Number</a> %F A352225 A352224(n)^3 + a(n)^3 = A352221(n)^3 + (A352221(n) + 1)^3 = A352222(n)^3 + A352223(n)^3 = A352220(n). %e A352225 -360 belongs to the sequence as 369^3 + (-360)^3 = 121^3 + 122^3 = 153^3 + 18^3 = 3587409. %Y A352225 Cf. A005898, A001235, A272885, A352133, A352134, A352135, A352136, A352220, A352221, A352222, A352223, A352224. %K A352225 sign,more %O A352225 1,1 %A A352225 _Vladimir Pletser_, Mar 07 2022 %E A352225 a(21) from _Chai Wah Wu_, Mar 17 2022 %E A352225 a(22) from _Bert Dobbelaere_, Apr 18 2022