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A197472 Number of nX5 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 0,1,0,0,0 for x=0,1,2,3,4 1
4, 24, 181, 748, 5408, 22672, 151748, 684002, 4368923, 20344854, 126020110, 603916958, 3643523708, 17866994674, 105586791488, 527450827498, 3064686007756, 15542757419162, 89084044386061, 457335065118848 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

Column 5 of A197475

LINKS

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

FORMULA

Empirical: a(n) = 15*a(n-2) +52*a(n-3) +296*a(n-4) -554*a(n-5) -229*a(n-6) -6613*a(n-7) -4335*a(n-8) -20874*a(n-9) +18040*a(n-10) +26381*a(n-11) +197933*a(n-12) +94070*a(n-13) +320192*a(n-14) -611325*a(n-15) -1087899*a(n-16) -3359414*a(n-17) -3589742*a(n-18) -3585120*a(n-19) +1625011*a(n-20) +12448300*a(n-21) +40979440*a(n-22) +72913510*a(n-23) +84642420*a(n-24) +58563471*a(n-25) -78408358*a(n-26) -285525148*a(n-27) -449083891*a(n-28) -430038062*a(n-29) -48315877*a(n-30) +332137526*a(n-31) +647232602*a(n-32) +895796784*a(n-33) +402347451*a(n-34) -71569578*a(n-35) -971116816*a(n-36) -915055737*a(n-37) -564795248*a(n-38) -408261834*a(n-39) +1616488905*a(n-40) +1209618295*a(n-41) +359637734*a(n-42) +1627078813*a(n-43) +458140995*a(n-44) -1790490027*a(n-45) -302830462*a(n-46) +118180618*a(n-47) -2049684292*a(n-48) -430429020*a(n-49) +1970991956*a(n-50) -371957378*a(n-51) -1143603688*a(n-52) +1515158904*a(n-53) +487108128*a(n-54) -935714152*a(n-55) +420116328*a(n-56) +641573360*a(n-57) -440594128*a(n-58) -327892352*a(n-59) +177462144*a(n-60) +7058112*a(n-61) -111894784*a(n-62) +26606336*a(n-63) +48291584*a(n-64) -3591168*a(n-65) -8124416*a(n-66) +135168*a(n-67) +61440*a(n-68) for n>71

EXAMPLE

Some solutions containing all values 0 to 4 for n=4

..0..2..0..2..1....0..2..1..1..0....2..0..1..1..0....1..1..2..0..2

..1..1..3..0..1....3..0..3..0..3....0..4..0..2..1....0..2..0..4..0

..0..3..0..4..0....0..4..0..3..0....3..0..1..0..1....2..1..3..0..3

..2..0..3..0..2....2..0..2..1..1....0..2..1..2..0....0..1..0..3..0

CROSSREFS

Sequence in context: A309637 A168452 A061720 * A152403 A111556 A300736

Adjacent sequences:  A197469 A197470 A197471 * A197473 A197474 A197475

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 15 2011

STATUS

approved

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Last modified November 27 09:19 EST 2021. Contains 349365 sequences. (Running on oeis4.)