15 citations · 38 across the 8 of their papers we have counts for
8 papers
On Curling Numbers of Integer Sequences
Benjamin Chaffin, John P. Linderman, N. J. A. Sloane +1
Given a finite nonempty sequence S of integers, write it as XY^k, where Y^k is a power of greatest exponent that is a suffix of S: this k is the curling number of S. The Curling Nu…
A Slow-Growing Sequence Defined by an Unusual Recurrence
Fokko J. van de Bult, Dion C. Gijswijt, John P. Linderman +2
The sequence starts with a(1) = 1; to extend it one writes the sequence so far as XY^k, where X and Y are strings of integers, Y is nonempty and k is as large as possible: then the…
The Number of Hierarchical Orderings
N. J. A. Sloane, Thomas Wieder
An ordered set-partition (or preferential arrangement) of n labeled elements represents a single ``hierarchy''; these are enumerated by the ordered Bell numbers. In this note we de…
Packing Planes in Four Dimensions and Other Mysteries
N. J. A. Sloane
How should you choose a good set of (say) 48 planes in four dimensions? More generally, how do you find packings in Grassmannian spaces? In this article I give a brief introduction…
On Kissing Numbers in Dimensions 32 to 128
Yves Edel, E. M. Rains, N. J. A. Sloane
An elementary construction using binary codes gives new record kissing numbers in dimensions from 32 to 128.
The Sphere-Packing Problem
N. J. A. Sloane
A brief report on recent work on the sphere-packing problem.