A203876 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

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”).

Other ways to Give

A203876

Number of (n+1)X7 0..3 arrays with no 2X2 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

354295, 220541455, 137282971015, 85671438703075, 53482170255256135, 33391264599507183643, 20848169781599252276647, 13016855297041203353448907, 8127274916555574691563311815, 5074392066627029759870699634571

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Column 6 of A203878

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..54

FORMULA

Empirical: a(n) = 679*a(n-1) -678*a(n-2) -22734242*a(n-3) +933140579*a(n-4) +155787014907*a(n-5) -8051016327620*a(n-6) -290807316124696*a(n-7) +19393915590207480*a(n-8) -42256736666853016*a(n-9) -8847432014178030560*a(n-10) +83507954113124940672*a(n-11) +1074868787162173623984*a(n-12) -16105881486499812890064*a(n-13) +14956375338761404032576*a(n-14) +524896293102578305429248*a(n-15) -2119130239859527520231424*a(n-16) +1594233946756949214802176*a(n-17)

EXAMPLE

Some solutions for n=4

..0..0..0..0..0..0..1....0..0..0..0..0..1..0....0..0..0..0..0..0..0

..2..1..1..1..3..2..3....1..2..1..3..2..1..3....1..2..3..2..1..1..2

..2..3..0..2..0..0..1....0..3..1..0..2..1..0....1..2..1..0..3..3..3

..0..1..1..3..3..2..1....0..3..1..3..3..1..3....1..2..1..2..1..2..0

..2..2..2..2..1..0..3....0..2..0..2..0..1..0....0..2..0..2..3..2..3

CROSSREFS

Sequence in context: A237411 A235980 A169806 * A378473 A233752 A238382

Adjacent sequences: A203873 A203874 A203875 * A203877 A203878 A203879

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 07 2012

STATUS

approved