login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A233687 Number of (n+1) X (4+1) 0..3 arrays with every 2 X 2 subblock having the sum of the squares of the edge differences equal to 10, and no two adjacent values equal. 1
1188, 13324, 145512, 1723204, 19588516, 233101508, 2662026560, 31690526268, 362156082980, 4311121344720, 49276352227832, 586529116562772, 6704848247564968, 79798491078174100, 912305401324724884 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A233691.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +222*a(n-2) -895*a(n-3) -14806*a(n-4) +61290*a(n-5) +479263*a(n-6) -2067766*a(n-7) -8897249*a(n-8) +40799029*a(n-9) +102512949*a(n-10) -513857547*a(n-11) -760171900*a(n-12) +4350919810*a(n-13) +3628256006*a(n-14) -25577829290*a(n-15) -10454924632*a(n-16) +106480049675*a(n-17) +12586615989*a(n-18) -317308345201*a(n-19) +27167936641*a(n-20) +679221981450*a(n-21) -157201990004*a(n-22) -1040817140533*a(n-23) +351215509546*a(n-24) +1129423930543*a(n-25) -469396649218*a(n-26) -850891317254*a(n-27) +403441486513*a(n-28) +431368323585*a(n-29) -223830914820*a(n-30) -140453027219*a(n-31) +77851050483*a(n-32) +27476109266*a(n-33) -16042803856*a(n-34) -2950519700*a(n-35) +1797075893*a(n-36) +152255054*a(n-37) -93497323*a(n-38) -3429989*a(n-39) +1518688*a(n-40) +74280*a(n-41).

EXAMPLE

Some solutions for n=3:

..1..3..2..3..1....1..0..1..3..2....3..1..3..1..3....2..0..1..2..1

..0..2..0..1..0....0..2..0..2..0....2..0..2..0..1....1..2..3..1..3

..1..3..2..3..1....2..3..2..3..2....0..1..3..2..3....2..0..1..0..1

..2..1..3..1..0....3..1..0..1..0....2..0..1..0..2....3..2..3..2..3

CROSSREFS

Sequence in context: A153378 A205230 A229539 * A233640 A252643 A158735

Adjacent sequences:  A233684 A233685 A233686 * A233688 A233689 A233690

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 14 2013

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 December 5 15:06 EST 2021. Contains 349557 sequences. (Running on oeis4.)