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A196491 Number of nX6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,3,0,1,4 for x=0,1,2,3,4 2
1, 17, 199, 1821, 18661, 188603, 1875863, 18685389, 187248247, 1876363069, 18755173019, 187535974669, 1876305125439, 18771074346899, 187768965127635, 1878237376211187, 18788431542792943, 187947977420652363 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Every 0 is next to 0 2's, every 1 is next to 1 3's, every 2 is next to 2 0's, every 3 is next to 3 1's, every 4 is next to 4 4's
Column 6 of A196493
LINKS
FORMULA
Empirical: a(n) = a(n-1) +29*a(n-2) +356*a(n-3) +2011*a(n-4) +7162*a(n-5) +673*a(n-6) -136641*a(n-7) -582638*a(n-8) +125610*a(n-9) +7769960*a(n-10) +15274097*a(n-11) -36022760*a(n-12) -147959998*a(n-13) +1821921*a(n-14) +632858965*a(n-15) +681357406*a(n-16) -1179692355*a(n-17) -3090269001*a(n-18) +1638542560*a(n-19) +10942286077*a(n-20) -800413430*a(n-21) -54182128497*a(n-22) -75117528401*a(n-23) +75803466077*a(n-24) +379474292637*a(n-25) +476140723133*a(n-26) -227610587080*a(n-27) -1454385362150*a(n-28) -2066980316135*a(n-29) -831896474272*a(n-30) +2913905683098*a(n-31) +4230611622698*a(n-32) +5389666260994*a(n-33) -623962153401*a(n-34) -5992411811512*a(n-35) -3404990888659*a(n-36) -11455513338815*a(n-37) +7467174228587*a(n-38) -1311777999439*a(n-39) +6486440278998*a(n-40) +13774740553625*a(n-41) -8417167090688*a(n-42) +9379862208023*a(n-43) -17333129004155*a(n-44) -8265724023696*a(n-45) +4308006691484*a(n-46) -2557048859357*a(n-47) +16238268170287*a(n-48) +998723650179*a(n-49) -3419715581036*a(n-50) -3253249966051*a(n-51) -5596180778272*a(n-52) +2379565085999*a(n-53) +1478691116185*a(n-54) +1222230391804*a(n-55) +694518031387*a(n-56) -758353051134*a(n-57) -216903944075*a(n-58) -545765290417*a(n-59) +67043085013*a(n-60) +237813809174*a(n-61) +83273708769*a(n-62) +22829008684*a(n-63) -60228610140*a(n-64) -11971139417*a(n-65) -8704162723*a(n-66) +6884717886*a(n-67) +3210687778*a(n-68) +1105163179*a(n-69) -610441287*a(n-70) -150904605*a(n-71) -85200272*a(n-72) -45587330*a(n-73) +11695477*a(n-74) -834150*a(n-75) +6852887*a(n-76) +300013*a(n-77) -112798*a(n-78) -49525*a(n-79) -50318*a(n-80) -386*a(n-81) -3313*a(n-82) +379*a(n-83) +289*a(n-84) +59*a(n-85) -7*a(n-86) +2*a(n-87) -a(n-88)
EXAMPLE
Some solutions for n=4
..1..3..1..0..0..0....1..0..0..0..1..0....1..1..3..1..1..0....1..1..3..1..0..1
..0..1..1..0..0..0....3..1..0..0..3..1....3..1..1..1..3..1....3..1..1..0..1..3
..0..1..3..0..1..0....1..0..1..0..1..0....1..0..0..1..3..1....1..0..1..0..0..1
..0..0..1..1..3..1....0..1..3..1..0..0....0..0..0..0..1..0....0..1..3..1..0..0
CROSSREFS
Sequence in context: A021379 A177075 A177076 * A017932 A125429 A244002
KEYWORD
nonn
AUTHOR
R. H. Hardin Oct 03 2011
STATUS
approved

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Last modified April 20 00:03 EDT 2024. Contains 371798 sequences. (Running on oeis4.)