login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A189431 Number of nX5 array permutations with each element not moving, or moving one space N, SW or SE 1
1, 8, 65, 571, 5680, 52241, 493941, 4681376, 44341381, 420325171, 3983969024, 37773176577, 358128315977, 3395458162288, 32193312416793, 305234770125411, 2894031473957664, 27439272582314225, 260161002358646165 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 5 of A189435

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 9*a(n-1) -a(n-2) +88*a(n-3) -133*a(n-4) -1241*a(n-5) -6173*a(n-6) +1260*a(n-7) -35412*a(n-8) +81872*a(n-9) +143920*a(n-10) -260064*a(n-11) +2649517*a(n-12) -4380197*a(n-13) -10792671*a(n-14) +17380340*a(n-15) +17309201*a(n-16) +82171225*a(n-17) -34858151*a(n-18) -315791376*a(n-19) +66797872*a(n-20) -231978696*a(n-21) +734413152*a(n-22) +760013432*a(n-23) -1058202998*a(n-24) -2085612850*a(n-25) -7191772318*a(n-26) +7045350632*a(n-27) +3638845930*a(n-28) +3481732186*a(n-29) +8643493314*a(n-30) -7150172088*a(n-31) +12002114312*a(n-32) -17160930824*a(n-33) -1460727184*a(n-34) +58198351544*a(n-35) -1772883650*a(n-36) -13721600534*a(n-37) +7148283886*a(n-38) -31542922592*a(n-39) -28065877170*a(n-40) -27375326650*a(n-41) -29235699066*a(n-42) -15582339728*a(n-43) -48617808*a(n-44) +4434566056*a(n-45) -693712320*a(n-46) +2141282408*a(n-47) +2851911223*a(n-48) +1535350953*a(n-49) -85925633*a(n-50) -94378304*a(n-51) +529827963*a(n-52) -125838145*a(n-53) -233700005*a(n-54) -61208340*a(n-55) +22857068*a(n-56) +42821976*a(n-57) +4528704*a(n-58) -1484088*a(n-59) +1003221*a(n-60) -1054917*a(n-61) -305775*a(n-62) -6804*a(n-63) -63423*a(n-64) +6561*a(n-65) +6561*a(n-66)

EXAMPLE

Some solutions for 3X5

..5..1..2..8..9....0..1..2..3..4....0..1..2..3..4....0..1..2..8..4

.10..0..7..4..3....5..6.12.13..9....5.11.12.13.14...10.11..3.13..9

..6.11.12.13.14...10.11..8..7.14...10..7..6..9..8....6..5.12..7.14

CROSSREFS

Sequence in context: A041025 A163459 A081190 * A024105 A041114 A015496

Adjacent sequences:  A189428 A189429 A189430 * A189432 A189433 A189434

KEYWORD

nonn

AUTHOR

R. H. Hardin Apr 22 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified November 28 12:02 EST 2014. Contains 250348 sequences.