In 2014, R.H. Hardin contributed a family of sequences about king-moves on an array to the On-Line Encyclopedia of Integer Sequences (OEIS). The sequences were recently noticed in an automated search of the OEIS by Kauers and Koutschan, who conjectured a recurrence for one of them. We prove their conjecture as well as some older conjectures stated in the OEIS entries. We also have some new conjectures for the asymptotics of Hardin's sequences.
@article{10_37236_12358,
author = {Robert Dougherty-Bliss and Manuel Kauers},
title = {Hardinian arrays},
journal = {The electronic journal of combinatorics},
year = {2024},
volume = {31},
number = {2},
doi = {10.37236/12358},
zbl = {1536.05017},
url = {http://geodesic.mathdoc.fr/articles/10.37236/12358/}
}
TY - JOUR
AU - Robert Dougherty-Bliss
AU - Manuel Kauers
TI - Hardinian arrays
JO - The electronic journal of combinatorics
PY - 2024
VL - 31
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/12358/
DO - 10.37236/12358
ID - 10_37236_12358
ER -
%0 Journal Article
%A Robert Dougherty-Bliss
%A Manuel Kauers
%T Hardinian arrays
%J The electronic journal of combinatorics
%D 2024
%V 31
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/12358/
%R 10.37236/12358
%F 10_37236_12358
