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!)
A302816 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
8, 52, 220, 1494, 9050, 51476, 317216, 1927184, 11448173, 69437015, 420077495, 2524870148, 15256502166, 92149840338, 555558632280, 3353951180376, 20247214339311, 122165463939008, 737365570767880, 4450613461508152 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A302820.
LINKS
FORMULA
Empirical: a(n) = 5*a(n-1) +5*a(n-2) +103*a(n-3) -472*a(n-4) -610*a(n-5) -2942*a(n-6) +13393*a(n-7) +22816*a(n-8) +28876*a(n-9) -141328*a(n-10) -330217*a(n-11) -66329*a(n-12) +377837*a(n-13) +1715614*a(n-14) -104581*a(n-15) +1536966*a(n-16) +94707*a(n-17) -1090428*a(n-18) -3432836*a(n-19) -11886952*a(n-20) -1508464*a(n-21) -14901268*a(n-22) +5677017*a(n-23) +10105176*a(n-24) +488958*a(n-25) +8686347*a(n-26) -515880*a(n-27) +32921724*a(n-28) -16944996*a(n-29) +8021194*a(n-30) -9073688*a(n-31) -9801184*a(n-32) +1534061*a(n-33) +4632827*a(n-34) +9839496*a(n-35) -13588411*a(n-36) +104477*a(n-37) -2495477*a(n-38) +6200005*a(n-39) -2301638*a(n-40) +161554*a(n-41) -470448*a(n-42) +560428*a(n-43) -87808*a(n-44) -103968*a(n-45) +28864*a(n-46) +5888*a(n-47) -2560*a(n-48) +256*a(n-49) for n>51
EXAMPLE
Some solutions for n=5
..0..1..0..1. .0..0..0..1. .0..0..0..0. .0..0..1..1. .0..1..1..0
..0..1..0..1. .0..1..0..1. .1..0..1..0. .1..0..1..0. .1..1..0..0
..0..0..1..0. .0..0..1..1. .1..0..1..1. .1..0..1..1. .1..0..1..0
..0..0..0..0. .0..1..0..1. .0..1..0..0. .1..0..0..1. .1..1..1..0
..0..1..0..1. .0..1..0..0. .1..0..1..0. .0..0..1..0. .0..0..1..0
CROSSREFS
Cf. A302820.
Sequence in context: A035288 A303012 A024179 * A026963 A026973 A244718
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 13 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 July 17 21:15 EDT 2024. Contains 374377 sequences. (Running on oeis4.)