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!)
A298290 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero. 2
8, 29, 26, 46, 130, 233, 448, 877, 1605, 3284, 6774, 13516, 26780, 53260, 107224, 217210, 438939, 883313, 1780573, 3597643, 7278676, 14737316, 29815736, 60315844, 122146302, 247456532, 501329145, 1015919801, 2058740283, 4172450069 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A298294.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +a(n-3) -15*a(n-4) +3*a(n-5) +14*a(n-6) -13*a(n-7) +2*a(n-8) +28*a(n-9) +136*a(n-10) -123*a(n-11) -150*a(n-12) -4*a(n-13) +224*a(n-14) -263*a(n-15) -312*a(n-16) -39*a(n-17) +829*a(n-18) -195*a(n-19) +263*a(n-20) +318*a(n-21) -203*a(n-22) +1380*a(n-23) -1061*a(n-24) +1265*a(n-25) -6050*a(n-26) +3594*a(n-27) -612*a(n-28) +1467*a(n-29) -10103*a(n-30) +7834*a(n-31) +336*a(n-32) +5421*a(n-33) -11698*a(n-34) +11954*a(n-35) +3181*a(n-36) +2304*a(n-37) -2504*a(n-38) +1394*a(n-39) -1748*a(n-40) -9782*a(n-41) -955*a(n-42) -4225*a(n-43) -5550*a(n-44) -78*a(n-45) +9350*a(n-46) +6450*a(n-47) -551*a(n-48) +2055*a(n-49) +2617*a(n-50) -404*a(n-51) -3702*a(n-52) -3216*a(n-53) -544*a(n-54) +434*a(n-55) +923*a(n-56) +488*a(n-57) +68*a(n-58) +59*a(n-59) -254*a(n-60) -194*a(n-61) +52*a(n-62) +64*a(n-63) +36*a(n-64) +8*a(n-65) -10*a(n-66) -4*a(n-67) for n>70

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298294.

Sequence in context: A146977 A068623 A297885 * A298490 A299183 A155578

Adjacent sequences:  A298287 A298288 A298289 * A298291 A298292 A298293

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 16 2018

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 03:29 EST 2021. Contains 349400 sequences. (Running on oeis4.)