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 A288384 #57 Mar 22 2024 19:13:58 %S A288384 0,0,1,-1,1,-1,0,1,-1,2,-1,-1,0,0,1,-1,0,1,-1,0,0,1,-1,0,1,-1,1,-1,0, %T A288384 0,1,-1,0,0,1,-1,0,1,-1,1,-1,0,2,-1,-1,0,0,0,1,-1,0,0,1,-1,0,0,1,-1,0, %U A288384 1,-1,1,-1,1,1,-2,0,1,-1,1,1,-2,0,0,1,-1,0,0,0,1,-1,2,0,-2,0,0,1,-1,1,-1,0,1,-1,1,-1,0,0,1,-1,0,0,1,-1,0,1 %N A288384 a(n) is the n-th term of the leading column of the right triangle in A274650 minus n. %C A288384 It appears that this sequence has infinitely many negative terms, infinitely many zeros and infinitely many positive terms. %F A288384 a(n) = A274650(n,0) - n = A286294(n) - n, n >= 0. %t A288384 (* function a286294[] is defined in A286294 using A274651 *) %t A288384 a288384[n_] := a286294[n] - Range[0,n] %t A288384 a288384[104] (* data *) (* _Hartmut F. W. Hoft_, Jun 13 2017 *) %Y A288384 Inspired by A286294. %Y A288384 Partial sums give A288424. %Y A288384 Cf. A274650, A274651. %K A288384 sign %O A288384 0,10 %A A288384 _Omar E. Pol_, Jun 08 2017 %E A288384 Signs reversed at the suggestion of _Hartmut F. W. Hoft_ and edited by _Omar E. Pol_, Jun 13 2017