A338005 Total number of graceful labelings of the n-hypercube graph Q_n.

1, 2, 16, 2592, 466308864

Offset

0,2

Comments

a(4) computed by Bert Dobbelaere

Links

Table of n, a(n) for n=0..4.

Eric Weisstein's World of Mathematics, Graceful Labeling

Eric Weisstein's World of Mathematics, Hypercube Graph

Formula

a(n) = 2^(n + 1)*n!*A387801(n) for n > 1. - Eric W. Weisstein, Sep 12 2025

Crossrefs

Cf. A334247.

Cf. A387801 (fundamentally different graceful labelings).

Sequence in context: A001309 A132569 A165644 * A203315 A158506 A167435

Adjacent sequences: A338002 A338003 A338004 * A338006 A338007 A338008

Keyword

nonn,hard,more

Author

Eric W. Weisstein, Oct 06 2020

Status

approved