The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A197313 Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,1,1,0,0 for x=0,1,2,3,4 1
1, 2, 10, 160, 152, 790, 2724, 6242, 26422, 91756, 281296, 990140, 3437208, 11190922, 37836768, 129296206, 433975472, 1455029298, 4951850734, 16696765546, 56134653324, 190052231444, 641906625424, 2162290128232, 7306324921304 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Every 0 is next to 0 0's, every 1 is next to 1 1's, every 2 is next to 2 1's, every 3 is next to 3 0's, every 4 is next to 4 0's
Column 4 of A197317
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +4*a(n-2) +6*a(n-3) -15*a(n-4) -14*a(n-5) +158*a(n-6) -75*a(n-7) -580*a(n-8) -544*a(n-9) +2442*a(n-10) -6108*a(n-11) -15674*a(n-12) +30424*a(n-13) +10460*a(n-14) -97388*a(n-15) +56218*a(n-16) +441502*a(n-17) -118178*a(n-18) -91784*a(n-19) +1837648*a(n-20) -170043*a(n-21) -3747640*a(n-22) -1924708*a(n-23) -22657*a(n-24) -7945855*a(n-25) -5336633*a(n-26) +10486980*a(n-27) +4002672*a(n-28) +5025718*a(n-29) +20403048*a(n-30) +11494725*a(n-31) +10614083*a(n-32) +10490910*a(n-33) +12687980*a(n-34) +9374913*a(n-35) -28487361*a(n-36) +8294976*a(n-37) +25580308*a(n-38) -60503291*a(n-39) -25248918*a(n-40) +13942686*a(n-41) -39639005*a(n-42) -37284559*a(n-43) -23466156*a(n-44) +22878562*a(n-45) +24899973*a(n-46) -31530561*a(n-47) +19180134*a(n-48) +36753693*a(n-49) -12016805*a(n-50) -3178342*a(n-51) +3297937*a(n-52) -4547374*a(n-53) +682965*a(n-54) -5465642*a(n-55) -4279697*a(n-56) +1150329*a(n-57) -2645817*a(n-58) +651720*a(n-59) +1143254*a(n-60) -684618*a(n-61) +266863*a(n-62) -143688*a(n-63) +60718*a(n-64) +108490*a(n-65) -45708*a(n-66) +14734*a(n-67) -10054*a(n-68) +2290*a(n-69) +1464*a(n-70) -1056*a(n-71) -16*a(n-72) -160*a(n-73) +48*a(n-74) for n>75
EXAMPLE
Some solutions containing all values 0 to 4 for n=5
..0..1..1..0....0..1..1..0....1..2..1..1....0..1..1..2....1..2..1..0
..1..2..0..3....3..0..2..1....1..0..3..0....3..0..2..1....1..0..1..2
..1..0..4..0....0..4..0..1....0..4..0..1....0..4..0..1....0..4..0..1
..2..1..0..1....1..0..3..0....3..0..2..1....1..0..1..2....3..0..2..1
..0..1..2..1....1..2..1..1....0..1..1..0....1..2..1..0....0..1..1..0
CROSSREFS
Sequence in context: A231517 A134088 A076659 * A294352 A007131 A126449
KEYWORD
nonn
AUTHOR
R. H. Hardin Oct 13 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 June 13 05:35 EDT 2024. Contains 373366 sequences. (Running on oeis4.)