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!)
A317380 Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1
16, 22, 94, 414, 2089, 10732, 52617, 260141, 1299431, 6460703, 32091533, 159653013, 794100334, 3948657705, 19637348938, 97662825394, 485690250511, 2415410808380, 12012299336878, 59739289031338, 297093716824774, 1477499432149988 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A317383.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +9*a(n-2) +23*a(n-3) -48*a(n-4) -204*a(n-5) -290*a(n-6) +464*a(n-7) +1533*a(n-8) +1060*a(n-9) -1347*a(n-10) -4626*a(n-11) -3969*a(n-12) +3088*a(n-13) +10127*a(n-14) +6880*a(n-15) -4168*a(n-16) -15090*a(n-17) -15701*a(n-18) +4865*a(n-19) +20064*a(n-20) +13812*a(n-21) +4246*a(n-22) -14553*a(n-23) -18731*a(n-24) +1072*a(n-25) +9636*a(n-26) +13390*a(n-27) +8382*a(n-28) -7240*a(n-29) -9992*a(n-30) -7983*a(n-31) -3164*a(n-32) +3036*a(n-33) +3341*a(n-34) +2439*a(n-35) +960*a(n-36) -366*a(n-37) -348*a(n-38) -227*a(n-39) -113*a(n-40) +21*a(n-41) -12*a(n-42) -12*a(n-43) for n>49

EXAMPLE

Some solutions for n=5

..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0

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

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

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

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

CROSSREFS

Cf. A317383.

Sequence in context: A100999 A304923 A306163 * A070572 A176657 A006616

Adjacent sequences:  A317377 A317378 A317379 * A317381 A317382 A317383

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 26 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 October 19 15:34 EDT 2021. Contains 348091 sequences. (Running on oeis4.)