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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A280157 Number of nX4 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 1
2, 18, 94, 424, 1854, 7628, 30874, 123312, 488256, 1920790, 7513678, 29249892, 113386708, 437908264, 1685639238, 6469357240, 24762845248, 94557090250, 360277506538, 1369975634630, 5199885300498, 19703519987286, 74545164231536 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A280161.

LINKS

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

FORMULA

Empirical: a(n) = 8*a(n-1) -8*a(n-2) -74*a(n-3) +144*a(n-4) +268*a(n-5) -631*a(n-6) -714*a(n-7) +1344*a(n-8) +2362*a(n-9) -2134*a(n-10) -6068*a(n-11) +2745*a(n-12) +9240*a(n-13) +321*a(n-14) -10644*a(n-15) -5878*a(n-16) +9474*a(n-17) +4820*a(n-18) -1796*a(n-19) -2276*a(n-20) -1436*a(n-21) +58*a(n-22) +800*a(n-23) +187*a(n-24) -46*a(n-25) -43*a(n-26) -28*a(n-27) +a(n-28) +6*a(n-29) -a(n-30) for n>36

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Cf. A280161.

Sequence in context: A206623 A036800 A157052 * A224616 A052633 A052638

Adjacent sequences:  A280154 A280155 A280156 * A280158 A280159 A280160

KEYWORD

nonn

AUTHOR

R. H. Hardin, Dec 27 2016

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified February 21 22:56 EST 2018. Contains 299427 sequences. (Running on oeis4.)