A000004 The zero sequence. (Formerly M0000)

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset

0,1

Links

N. J. A. Sloane, Table of n, a(n) for n = 0..1000 [Useful when plotting one sequence against another.]

Luis Manuel Rivera, Integer sequences and k-commuting permutations, arXiv preprint arXiv:1406.3081 [math.CO], 2014-2015.

N. J. A. Sloane, "A Handbook of Integer Sequences" Fifty Years Later, arXiv:2301.03149 [math.NT], 2023, p. 10.

Index entries for characteristic functions

Index entries for "core" sequences

Index entries for linear recurrences with constant coefficients, signature (1).

Index entries for sequences that are fixed points of mappings

Formula

a(n) = 0 for all integer n.

Maple

A000004 := n->0;

Mathematica

a[ n_] := 0;
Table[0, {n, 100}] (* Matthew House, Jul 14 2015 *)
LinearRecurrence[{1}, {0}, 102] (* Ray Chandler, Jul 15 2015 *)

Prog

(Magma) [ 0 : n in [0..100]];
(PARI) vector(100, n, 0)
(R) rep(0, 100)
(Haskell)
a000004 = const 0
a000004_list = repeat 0  -- Reinhard Zumkeller, May 07 2012
(Python) print([0 for n in range(102)]) # Michael S. Branicky, Apr 04 2022

Crossrefs

Cf. A000012 (all 1's), A007395 (all 2's), A010701 (all 3's).

Cf. A000007(n) = 0^n: characteristic function of {0}.

Sequence in context: * A297046 A248805 A307721 A378651 A023976 A025469

Adjacent sequences: A000001 A000002 A000003 * A000005 A000006 A000007

Keyword

core,easy,nonn,mult

Author

N. J. A. Sloane

Status

approved