A206933 Number of nX5 0..1 arrays avoiding 0 0 0 horizontally and 0 1 1 vertically

24, 576, 6139, 55088, 418876, 2967939, 20054092, 132811808, 872534329, 5738891880, 37936245944, 252477346073, 1691541385664, 11399493261624, 77185331515715, 524508182445648, 3573732263034644, 24395832049714499

Offset

1,1

Comments

Column 5 of A206936

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 16*a(n-1) -51*a(n-2) -382*a(n-3) +2316*a(n-4) +2418*a(n-5) -33825*a(n-6) +7564*a(n-7) +259597*a(n-8) -162444*a(n-9) -1219656*a(n-10) +831300*a(n-11) +3729358*a(n-12) -2081904*a(n-13) -7504662*a(n-14) +2731608*a(n-15) +9782192*a(n-16) -1707672*a(n-17) -8064954*a(n-18) +220920*a(n-19) +4121746*a(n-20) +285804*a(n-21) -1292280*a(n-22) -158436*a(n-23) +246867*a(n-24) +34784*a(n-25) -28503*a(n-26) -3770*a(n-27) +1924*a(n-28) +198*a(n-29) -69*a(n-30) -4*a(n-31) +a(n-32)

Example

Some solutions for n=4
..0..1..0..0..1....0..1..1..1..0....1..1..1..1..0....1..1..1..0..0
..0..1..0..0..1....1..1..1..0..0....1..1..1..1..1....0..1..1..1..1
..1..0..0..1..1....0..1..0..1..1....1..1..1..1..0....0..1..1..0..0
..0..0..1..0..0....0..0..1..0..0....1..1..1..1..1....1..0..1..1..1

Crossrefs

Sequence in context: A359751 A206991 A292282 * A206868 A181221 A188563

Adjacent sequences: A206930 A206931 A206932 * A206934 A206935 A206936

Keyword

nonn

Author

R. H. Hardin Feb 13 2012

Status

approved