login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A268994
Number of nX7 binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once.
1
72, 2037, 57287, 1506570, 38241770, 946498448, 22995344760, 550731432312, 13040291111728, 305911647779632, 7121104059933536, 164688437285444064, 3787495455529375808, 86684333527271203264, 1975573336154420926848
OFFSET
1,1
COMMENTS
Column 7 of A268995.
LINKS
FORMULA
Empirical: a(n) = 68*a(n-1) -1804*a(n-2) +24560*a(n-3) -195400*a(n-4) +974752*a(n-5) -3171360*a(n-6) +6871936*a(n-7) -9999248*a(n-8) +9740096*a(n-9) -6250176*a(n-10) +2552576*a(n-11) -621824*a(n-12) +79872*a(n-13) -4096*a(n-14) for n>16
EXAMPLE
Some solutions for n=3
..0..0..0..1..0..0..0. .0..0..1..0..0..0..1. .1..0..0..0..1..0..1
..0..0..0..0..0..0..0. .1..0..0..0..1..0..1. .0..0..1..0..0..0..0
..0..1..1..0..1..0..0. .0..0..0..0..0..0..0. .1..0..0..0..1..0..0
CROSSREFS
Cf. A268995.
Sequence in context: A263974 A344029 A187303 * A347566 A277532 A341556
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 17 2016
STATUS
approved