A196208 Number of nX6 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,0,3,4,1 for x=0,1,2,3,4

12, 28, 27, 136, 301, 899, 2922, 7680, 24326, 71539, 213378, 637327, 1919823, 5779272, 17262590, 52036278, 156828887, 470650712, 1416414013, 4267310387, 12839872102, 38624812870, 116319554088, 350228413447, 1053958512376

Offset

1,1

Comments

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

Column 6 of A196210

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -25*a(n-2) +49*a(n-3) -98*a(n-4) +156*a(n-5) -51*a(n-6) -144*a(n-7) -341*a(n-8) +1389*a(n-9) -660*a(n-10) -2333*a(n-11) +5139*a(n-12) -11346*a(n-13) +24800*a(n-14) -27702*a(n-15) +12247*a(n-16) -24515*a(n-17) +78061*a(n-18) -110507*a(n-19) +184911*a(n-20) -438580*a(n-21) +655447*a(n-22) -648567*a(n-23) +862703*a(n-24) -1279249*a(n-25) +943400*a(n-26) -303171*a(n-27) +399709*a(n-28) +738397*a(n-29) -4142609*a(n-30) +6009546*a(n-31) -6565856*a(n-32) +10435723*a(n-33) -11726109*a(n-34) +6696327*a(n-35) -6600308*a(n-36) +8923058*a(n-37) +3277094*a(n-38) -13169182*a(n-39) +2924924*a(n-40) -2391459*a(n-41) +2784495*a(n-42) +22739414*a(n-43) -17311996*a(n-44) -27321912*a(n-45) +40260403*a(n-46) -36180202*a(n-47) +43830773*a(n-48) -8581300*a(n-49) -51992396*a(n-50) +26174979*a(n-51) -3774353*a(n-52) +6668033*a(n-53) +33995202*a(n-54) -23256231*a(n-55) -21376770*a(n-56) +26998688*a(n-57) -26948542*a(n-58) +22456734*a(n-59) +8614698*a(n-60) -19136774*a(n-61) +8512190*a(n-62) -6807667*a(n-63) -2849975*a(n-64) +5384596*a(n-65) -270938*a(n-66) -3553395*a(n-67) +2756797*a(n-68) -1928086*a(n-69) -5467*a(n-70) +2507989*a(n-71) -597526*a(n-72) +697798*a(n-73) +575841*a(n-74) -274754*a(n-75) +475607*a(n-76) +277687*a(n-77) +39593*a(n-78) +218097*a(n-79) -20820*a(n-80) -7030*a(n-81) +5344*a(n-82) -15392*a(n-83) +958*a(n-84) +7496*a(n-85) -306*a(n-86) +3137*a(n-87) +695*a(n-88) -164*a(n-89) +105*a(n-90) -65*a(n-91) -25*a(n-92)

Example

Some solutions for n=4
..1..1..1..0..0..0....0..0..1..1..1..0....1..0..0..1..1..0....0..0..0..1..1..0
..0..0..1..1..1..1....1..1..1..0..1..1....1..1..1..1..1..1....1..1..1..4..1..1
..0..0..1..1..1..1....1..1..4..1..1..1....0..1..1..0..0..1....1..1..4..1..0..1
..1..1..1..0..0..0....0..0..1..1..0..0....0..1..1..0..0..1....0..0..1..1..0..1

Crossrefs

Sequence in context: A079705 A068721 A228181 * A196475 A253534 A255136

Adjacent sequences: A196205 A196206 A196207 * A196209 A196210 A196211

Keyword

nonn

Author

R. H. Hardin Sep 29 2011

Status

approved