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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A316872 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 1
8, 65, 425, 2931, 19363, 129974, 871345, 5848852, 39278049, 263713497, 1770482001, 11887215402, 79812178186, 535861305908, 3597799009537, 24155860662607, 162183882073432, 1088911875204984, 7311018935280645, 49086615774849387 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A316876.

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) -18*a(n-2) +56*a(n-3) -259*a(n-4) -64*a(n-5) +211*a(n-6) +1886*a(n-7) +2523*a(n-8) +878*a(n-9) -9154*a(n-10) -13683*a(n-11) +6221*a(n-12) -38007*a(n-13) +8906*a(n-14) -128091*a(n-15) -107882*a(n-16) +315762*a(n-17) +363860*a(n-18) +1101826*a(n-19) +846143*a(n-20) +427920*a(n-21) -2427427*a(n-22) +3511785*a(n-23) -2728517*a(n-24) +2625660*a(n-25) -5151730*a(n-26) -11861440*a(n-27) -8821843*a(n-28) -21636271*a(n-29) +13157246*a(n-30) -59443053*a(n-31) -22854215*a(n-32) -11238396*a(n-33) -14226060*a(n-34) +9927279*a(n-35) -11806156*a(n-36) +52958705*a(n-37) -10385036*a(n-38) +95481445*a(n-39) +42796528*a(n-40) +3577309*a(n-41) +61364104*a(n-42) +4763501*a(n-43) +9804404*a(n-44) +279972*a(n-45) -7073065*a(n-46) -9689912*a(n-47) -253349*a(n-48) -4170945*a(n-49) -5659326*a(n-50) -711496*a(n-51) +1217130*a(n-52) +1142541*a(n-53) -350714*a(n-54) -395908*a(n-55) -50160*a(n-56) for n>58

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A316876.

Sequence in context: A305589 A317007 A293802 * A317600 A288788 A033118

Adjacent sequences:  A316869 A316870 A316871 * A316873 A316874 A316875

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 15 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 January 24 17:28 EST 2022. Contains 350565 sequences. (Running on oeis4.)