login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A196600 Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,2,4,0,3 for x=0,1,2,3,4 1
1, 99, 1068, 12515, 170468, 2094496, 26951945, 343022617, 4375049733, 55715523106, 709959091368, 9046999203416, 115277965919877, 1468904292522963, 18717115551026011, 238498119006964101, 3039004939759888882 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Every 0 is next to 0 1's, every 1 is next to 1 2's, every 2 is next to 2 4's, every 3 is next to 3 0's, every 4 is next to 4 3's

Column 7 of A196601

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +59*a(n-2) +435*a(n-3) +2254*a(n-4) +8341*a(n-5) +17131*a(n-6) -59716*a(n-7) -538523*a(n-8) -428433*a(n-9) +3768975*a(n-10) +627413*a(n-11) -20374626*a(n-12) +3697606*a(n-13) +67340640*a(n-14) +67261351*a(n-15) -119693585*a(n-16) -141617487*a(n-17) +844832259*a(n-18) -586593845*a(n-19) -443217503*a(n-20) +911319530*a(n-21) -7056967491*a(n-22) +8478065400*a(n-23) -31122961306*a(n-24) +53040472422*a(n-25) -61700238687*a(n-26) -60804300620*a(n-27) +372274634147*a(n-28) -863293878477*a(n-29) +1505789215171*a(n-30) -1684714575074*a(n-31) +1507291088219*a(n-32) -751703334294*a(n-33) +227101746015*a(n-34) +243924464105*a(n-35) +280192660253*a(n-36) -707593981272*a(n-37) +972250453331*a(n-38) -932751796922*a(n-39) +724508865133*a(n-40) +485363093845*a(n-41) -1100502526993*a(n-42) +413063897371*a(n-43) -87220152581*a(n-44) -14586228302*a(n-45) +138502874175*a(n-46) -57763445628*a(n-47) -71409202328*a(n-48) -91559763510*a(n-49) -67170993319*a(n-50) +59952501269*a(n-51) +64851621945*a(n-52) +3296680092*a(n-53) -10802964995*a(n-54) -10072216663*a(n-55) +467728734*a(n-56) +6523881593*a(n-57) +2408902103*a(n-58) -1105888118*a(n-59) -1058019574*a(n-60) +20390565*a(n-61) +484574620*a(n-62) +134267025*a(n-63) -76749691*a(n-64) -111647144*a(n-65) -38737174*a(n-66) -17998463*a(n-67) -7119028*a(n-68) +381533*a(n-69) +383444*a(n-70) +131975*a(n-71) +75038*a(n-72) +47383*a(n-73) +4120*a(n-74) -902*a(n-75) -245*a(n-76) -121*a(n-77) -32*a(n-78) -3*a(n-79) +a(n-80)

EXAMPLE

Some solutions for n=4

..0..3..0..0..0..0..0....0..0..0..0..0..3..0....0..0..0..0..0..0..0

..3..0..3..0..3..0..3....0..0..0..0..0..0..3....0..0..0..0..3..3..0

..0..0..3..0..3..0..0....0..0..0..0..3..3..0....0..3..3..0..0..0..3

..0..3..0..0..0..3..0....0..0..0..3..0..0..0....0..0..0..3..0..3..0

CROSSREFS

Sequence in context: A308466 A093299 A196645 * A074786 A249335 A338258

Adjacent sequences:  A196597 A196598 A196599 * A196601 A196602 A196603

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 04 2011

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 27 07:56 EDT 2022. Contains 357052 sequences. (Running on oeis4.)