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!)
A305344 Number of nX5 0..1 arrays with every element unequal to 0, 1, 3, 5 or 8 king-move adjacent elements, with upper left element zero. 1
8, 53, 63, 199, 649, 1729, 4685, 13671, 38115, 105379, 298557, 839061, 2341601, 6580629, 18490189, 51796497, 145319939, 407960755, 1144159141, 3209506931, 9006166021, 25265766385, 70877825571, 198858433261, 557901465421 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A305347.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +10*a(n-3) -6*a(n-4) -6*a(n-5) -9*a(n-6) -18*a(n-7) -9*a(n-8) -27*a(n-9) +40*a(n-10) +43*a(n-11) +45*a(n-12) +38*a(n-13) +39*a(n-14) +5*a(n-15) -64*a(n-16) -77*a(n-17) -70*a(n-18) -32*a(n-19) -78*a(n-20) +20*a(n-21) +32*a(n-22) +48*a(n-23) +75*a(n-24) +18*a(n-25) +64*a(n-26) -12*a(n-27) -28*a(n-28) -6*a(n-29) -54*a(n-30) +4*a(n-31) -14*a(n-32) -2*a(n-33) +26*a(n-34) -4*a(n-35) +12*a(n-36) -4*a(n-37) for n>48

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A305347.

Sequence in context: A116171 A303966 A304928 * A316612 A304666 A306169

Adjacent sequences:  A305341 A305342 A305343 * A305345 A305346 A305347

KEYWORD

nonn

AUTHOR

R. H. Hardin, May 30 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 December 2 14:09 EST 2021. Contains 349445 sequences. (Running on oeis4.)