A288384 a(n) is the n-th term of the leading column of the right triangle in A274650 minus n.

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, 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, 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

Offset: 0

Author

Omar E. Pol, Jun 08 2017

Keywords

• sign

Comments

It appears that this sequence has infinitely many negative terms, infinitely many zeros and infinitely many positive terms.

Crossrefs

Inspired by A286294.

Partial sums give A288424.

Cf. A274650, A274651.

Programs

Mathematica

(* function a286294[] is defined in A286294 using A274651 *)
a288384[n_] := a286294[n] - Range[0,n]
a288384[104] (* data *) (* Hartmut F. W. Hoft, Jun 13 2017 *)

Formula

a(n) = A274650(n,0) - n = A286294(n) - n, n >= 0.

Extensions

Signs reversed at the suggestion of Hartmut F. W. Hoft and edited by Omar E. Pol, Jun 13 2017