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!)
A234107 Number of (n+1) X (1+1) 0..4 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12. 1
56, 186, 604, 2064, 6964, 24156, 83012, 290164, 1007972, 3540836, 12393060, 43708804, 153873060, 544613636, 1926294628, 6839634244, 24285641508, 86475603716, 308037991396, 1099585403844, 3927295071396, 14049115042436 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) + 6*a(n-2) - 50*a(n-3) + 16*a(n-4) + 80*a(n-5) - 16*a(n-6).

Empirical g.f.: 2*x*(28 - 47*x - 331*x^2 + 364*x^3 + 712*x^4 - 152*x^5) / ((1 - 2*x)*(1 - 2*x - 4*x^2)*(1 - x - 10*x^2 + 2*x^3)). - Colin Barker, Oct 12 2018

EXAMPLE

Some solutions for n=5:

..0..1....4..2....4..1....0..4....4..0....0..2....4..0....3..0....0..4....3..4

..1..4....2..0....4..1....4..4....2..2....4..2....4..4....3..0....1..1....3..0

..0..1....4..2....4..1....0..4....4..0....0..2....1..1....3..0....4..4....3..0

..4..1....2..0....1..4....4..4....1..1....4..2....4..0....0..3....1..1....0..3

..4..1....4..2....1..0....0..4....4..4....2..0....1..1....4..3....4..4....3..4

..0..1....2..0....4..1....2..2....4..0....4..2....4..4....0..3....0..4....0..3

CROSSREFS

Column 1 of A234114.

Sequence in context: A115620 A224108 A234114 * A136547 A264303 A200833

Adjacent sequences:  A234104 A234105 A234106 * A234108 A234109 A234110

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 19 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 October 18 19:15 EDT 2021. Contains 348069 sequences. (Running on oeis4.)