A379061 First differences of A377091.

1, 1, -4, 1, 4, 1, 1, -9, 1, 9, 1, 1, -16, 1, 1, 1, -4, -1, -1, -1, 25, -4, 1, 1, 1, -25, -1, -1, -1, -1, -1, 36, -4, 1, 1, 1, -36, -1, -1, -1, -1, -1, 49, -4, -1, -1, 4, -1, 4, 1, 1, -4, -49, -1, -1, -1, -1, -1, -1, -1, 64, -1, -1, -1, 4, 1, 1, 1, 1, 1, 1, 1, 1, -81, 4, 1, 1, 1, -4, -1, -1, 81, 1, 1, 1, 1, 1, 1, 1, 1, -100, 9, -1, -1, -1, -1, -1, -1, -1, -1, 100

Offset: 0

Author

N. J. A. Sloane, Dec 27 2024

Keywords

• sign

Links

• N. J. A. Sloane, Table of n, a(n) for n = 0..19999

Crossrefs

Cf. A377091, A379062.

Programs

Mathematica

(* A377091list is defined at A377091 *)
Differences[A377091list[100]] (* Paolo Xausa, Jan 20 2025 *)

PARI

A379061_upto(N=99, A=A377091_upto(N))=A[^1]-A[^-1] \\ M. F. Hasler, Feb 08 2025

Python

A379061 = lambda n: A377091(n+1)-A377091(n) # M. F. Hasler, Feb 08 2025

Formula

lim sup a(n)/n = - lim inf a(n)/n = 1. (Conjectured.) - M. F. Hasler, Feb 08 2025