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!)
A303319 Number of 7Xn 0..1 arrays with every element equal to 0, 1, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
64, 22, 53, 361, 853, 3453, 26184, 148313, 618149, 2955145, 16591424, 86249043, 413146658, 2059509511, 10710235991, 54507337628, 271445240604, 1367369372608, 6965330062810, 35263933509003, 177512275506692, 896493252412109 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 7 of A303314.

LINKS

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

FORMULA

Empirical: a(n) = a(n-1) +3*a(n-2) +37*a(n-3) +276*a(n-4) +165*a(n-5) -205*a(n-6) -2476*a(n-7) -13664*a(n-8) -7511*a(n-9) +8831*a(n-10) +40762*a(n-11) +240569*a(n-12) +158080*a(n-13) -46666*a(n-14) -199655*a(n-15) -1926230*a(n-16) -1407079*a(n-17) -591650*a(n-18) -877532*a(n-19) +6392879*a(n-20) +3257573*a(n-21) +2270954*a(n-22) +4140102*a(n-23) -11419043*a(n-24) -2545735*a(n-25) -3573112*a(n-26) -6690569*a(n-27) +10941945*a(n-28) -415300*a(n-29) +2676831*a(n-30) +6168158*a(n-31) -6922000*a(n-32) +2103696*a(n-33) -1786835*a(n-34) -1766911*a(n-35) +1639434*a(n-36) -631599*a(n-37) +372470*a(n-38) +231484*a(n-39) -83779*a(n-40) +28834*a(n-41) -24621*a(n-42) -15294*a(n-43) -790*a(n-44) -1320*a(n-45) -200*a(n-46) for n>51

EXAMPLE

Some solutions for n=5

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

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

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

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

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

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

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

CROSSREFS

Cf. A303314.

Sequence in context: A302520 A302685 A281721 * A275469 A178542 A066539

Adjacent sequences:  A303316 A303317 A303318 * A303320 A303321 A303322

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 21 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 August 12 08:33 EDT 2020. Contains 336438 sequences. (Running on oeis4.)