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A264310
Number of (n+1) X (5+1) arrays of permutations of 0..n*6+5 with each element having directed index change 0,0 0,1 1,0 -1,-2 or 0,2.
1
140, 4103, 130041, 3932500, 119041793, 3604351803, 109088196333, 3301600532164, 99923983566397, 3024221117242729, 91528676759032076, 2770134074041933647, 83838670166909491909, 2537394358528832918000, 76794754843589208632829
OFFSET
1,1
COMMENTS
Column 5 of A264313.
LINKS
FORMULA
Empirical: a(n) = 33*a(n-1) -69*a(n-2) -199*a(n-3) -6792*a(n-4) +4447*a(n-5) +41319*a(n-6) +303267*a(n-7) -443549*a(n-8) -398428*a(n-9) -1783130*a(n-10) +1042134*a(n-11) +2217570*a(n-12) -6237046*a(n-13) +27889860*a(n-14) -37432490*a(n-15) +94710958*a(n-16) -104315290*a(n-17) +19585230*a(n-18) +58406924*a(n-19) -162069021*a(n-20) +32870497*a(n-21) +2643595*a(n-22) -42259315*a(n-23) +29248500*a(n-24) -8540181*a(n-25) -8486829*a(n-26) +1722303*a(n-27) +617463*a(n-28).
EXAMPLE
Some solutions for n=3
..8..0..1..2..4..5....8..9..2..1..4..5....8..1.10.11..2..3....8..9..1.11..3..5
..6..7.16..3..9.10....0.15..6..3.10.11....0.15..6..9..4..5....0..6..2.17..4.10
.12.13.22.23.15.11...20..7.13.23.14.17...12..7.13.23.14.16...12..7.22.23.15.16
.18.19.14.21.20.17...12.19.18.21.16.22...18.19.20.21.22.17...18.13.14.19.20.21
CROSSREFS
Cf. A264313.
Sequence in context: A184377 A255775 A199831 * A128193 A061607 A223349
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 11 2015
STATUS
approved