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A195966 Number of nX5 0..4 arrays with each element equal to the number its horizontal and vertical neighbors equal to itself 1
1, 1, 14, 48, 193, 417, 804, 2745, 9547, 24176, 61074, 170047, 498749, 1412003, 3830458, 10425200, 29408888, 82593837, 229097068, 632720280, 1758152920, 4903602060, 13659767887, 37909433089, 105292824517, 292891120663 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
Column 5 of A195969
LINKS
FORMULA
Empirical: a(n) = a(n-2) +11*a(n-3) +15*a(n-4) +25*a(n-5) +45*a(n-6) -107*a(n-7) -19*a(n-8) -387*a(n-9) +285*a(n-10) -1412*a(n-11) -1215*a(n-12) -227*a(n-13) +753*a(n-14) +7216*a(n-15) -14259*a(n-16) +19069*a(n-17) +7969*a(n-18) +76892*a(n-19) +14266*a(n-20) -100179*a(n-21) +69428*a(n-22) -245584*a(n-23) +490432*a(n-24) -712382*a(n-25) -119975*a(n-26) -923368*a(n-27) -372986*a(n-28) +3109232*a(n-29) -3910411*a(n-30) +5562092*a(n-31) -4510781*a(n-32) +11502036*a(n-33) -746429*a(n-34) -7867106*a(n-35) +23764478*a(n-36) -39125884*a(n-37) +38440110*a(n-38) -59480039*a(n-39) +43116719*a(n-40) -27624370*a(n-41) -44884088*a(n-42) +140100277*a(n-43) -114193259*a(n-44) +134049155*a(n-45) -233016934*a(n-46) +157241999*a(n-47) -15538634*a(n-48) -572251027*a(n-49) +379372987*a(n-50) -302114152*a(n-51) +578885853*a(n-52) -743988137*a(n-53) +961257926*a(n-54) +1067795654*a(n-55) -831089738*a(n-56) +549366848*a(n-57) -110410440*a(n-58) +1054671733*a(n-59) -1958990913*a(n-60) -900697219*a(n-61) +252032268*a(n-62) -610363854*a(n-63) +396954522*a(n-64) -2005727128*a(n-65) +1162828180*a(n-66) +1637079308*a(n-67) +677131632*a(n-68) -886955976*a(n-69) +896941392*a(n-70) +1718640560*a(n-71) -945889408*a(n-72) -521218176*a(n-73) +758311584*a(n-74) -800377792*a(n-75) -212295936*a(n-76) +26209280*a(n-77) +359321984*a(n-78) -516441856*a(n-79) -42942464*a(n-80) +742462464*a(n-81) -924628992*a(n-82) +585785344*a(n-83) -103088128*a(n-84) +633143296*a(n-85) -403996672*a(n-86) -120258560*a(n-87) +336330752*a(n-88) -70778880*a(n-89) +18874368*a(n-90) -121634816*a(n-91) +50331648*a(n-92) +50331648*a(n-93) -134217728*a(n-94) for n>96
EXAMPLE
Some solutions for n=4
..2..2..2..1..1....2..2..2..2..2....1..1..0..1..1....0..2..2..2..1
..2..0..2..2..2....2..0..1..0..2....0..2..2..2..2....2..2..0..2..1
..2..2..1..1..2....2..2..1..2..2....1..2..1..1..2....2..0..2..2..0
..0..2..2..2..2....0..2..2..2..0....1..2..2..2..2....2..2..2..1..1
CROSSREFS
Sequence in context: A332606 A232826 A205468 * A337421 A345724 A121202
KEYWORD
nonn
AUTHOR
R. H. Hardin Sep 25 2011
STATUS
approved

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Last modified April 24 13:58 EDT 2024. Contains 371960 sequences. (Running on oeis4.)