login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A205049 Number of (n+1)X3 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock equal to the number in all its horizontal and vertical neighbors 1
243, 889, 4171, 19151, 100761, 515720, 2789316, 14729453, 79584319, 424134500, 2284106734, 12214870500, 65649772252, 351622627754, 1887885419556, 10119043216091, 54302259297443, 291163602360747, 1562095220381140 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A205055

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) -7*a(n-2) -79*a(n-3) +307*a(n-4) -563*a(n-5) +339*a(n-6) +1297*a(n-7) -4336*a(n-8) +7348*a(n-9) -9090*a(n-10) +6883*a(n-11) +2049*a(n-12) -11926*a(n-13) +13484*a(n-14) -9334*a(n-15) +7950*a(n-16) -9011*a(n-17) +8698*a(n-18) -7986*a(n-19) +7725*a(n-20) -6101*a(n-21) +3183*a(n-22) -1053*a(n-23) +337*a(n-24) -187*a(n-25) +81*a(n-26) -16*a(n-27) +a(n-28) for n>30

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A255111 A331613 A255626 * A235540 A219132 A232285

Adjacent sequences:  A205046 A205047 A205048 * A205050 A205051 A205052

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 21 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 28 13:47 EST 2021. Contains 349413 sequences. (Running on oeis4.)