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!)
A297955 Number of nX4 0..1 arrays with every element equal to 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. 2
2, 13, 25, 78, 233, 779, 2359, 7024, 21572, 66763, 202511, 620170, 1905989, 5855288, 17976712, 55219917, 169749644, 521916367, 1604541689, 4934209891, 15175681053, 46676428419, 143573044675, 441645870265, 1358607323981, 4179521702706 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A297959.

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-1) -12*a(n-2) +17*a(n-3) -35*a(n-4) +54*a(n-5) -89*a(n-6) +104*a(n-7) -57*a(n-8) -144*a(n-9) +632*a(n-10) -540*a(n-11) +484*a(n-12) -1119*a(n-13) +3671*a(n-14) -3366*a(n-15) +5139*a(n-16) -18223*a(n-17) +22293*a(n-18) -24470*a(n-19) +16760*a(n-20) -67821*a(n-21) +86302*a(n-22) -60537*a(n-23) +86261*a(n-24) -140739*a(n-25) +251381*a(n-26) -12028*a(n-27) +290140*a(n-28) -334363*a(n-29) +512861*a(n-30) -337983*a(n-31) -48036*a(n-32) -1141949*a(n-33) -225032*a(n-34) -547585*a(n-35) +28951*a(n-36) -168652*a(n-37) +1302597*a(n-38) +494827*a(n-39) +1693379*a(n-40) -117598*a(n-41) +202092*a(n-42) -249183*a(n-43) -899552*a(n-44) +205449*a(n-45) -839100*a(n-46) +367487*a(n-47) -397956*a(n-48) +381503*a(n-49) -152630*a(n-50) +46489*a(n-51) -92844*a(n-52) +14922*a(n-53) +16452*a(n-54) +16868*a(n-55) +11917*a(n-56) -1424*a(n-57) -844*a(n-58) -706*a(n-59) -884*a(n-60) -128*a(n-61) +32*a(n-62) for n>65

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A297959.

Sequence in context: A230857 A263537 A101863 * A298578 A299570 A329630

Adjacent sequences: A297952 A297953 A297954 * A297956 A297957 A297958

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 09 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 3 04:55 EST 2023. Contains 360024 sequences. (Running on oeis4.)