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 A263964 T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change (+-,+-) 0,0 1,1 or 1,2. 8
 4, 20, 9, 108, 141, 25, 465, 2089, 1685, 64, 2265, 23841, 95161, 16856, 169, 10920, 283641, 3801496, 3232688, 183229, 441, 52752, 3408145, 180329601, 406984645, 123067561, 1926873, 1156, 253176, 40723017, 8793791605, 64094922409 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ....4........20..........108...........465...........2265..........10920 ....9.......141.........2089.........23841.........283641........3408145 ...25......1685........95161.......3801496......180329601.....8793791605 ...64.....16856......3232688.....406984645....64094922409.10425268139552 ..169....183229....123067561...51140612201.29721673646857 ..441...1926873...4487054905.6038706224797 .1156..20563180.165950022876 .3025.218090365 .7921 LINKS R. H. Hardin, Table of n, a(n) for n = 1..48 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) +2*a(n-2) -a(n-3) k=2: a(n) = 8*a(n-1) +40*a(n-2) -119*a(n-3) -124*a(n-4) +240*a(n-5) k=3: [order 15] k=4: [order 82] Empirical for row n: n=1: [linear recurrence of order 22] n=2: [order 28] for n>30 EXAMPLE Some solutions for n=3 k=4 ..0..8..6..7..4....0..1..8..6..7....0..8..9..3..4....0..1..6..9..8 ..5..3..1..2.12....5..2..3..4.13....5..6..1.12..2....5..2..7..4..3 .10.11..9.16.18...10.11.15..9.18...10.11.18..7.17...10.17.12.13.14 .15.13.17.14.19...12.16.17.14.19...15.16.13.14.19...15.16.11.18.19 CROSSREFS Column 1 is A007598(n+2). Sequence in context: A050017 A125514 A118392 * A180855 A213822 A182456 Adjacent sequences:  A263961 A263962 A263963 * A263965 A263966 A263967 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Oct 30 2015 STATUS approved

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Last modified January 23 15:33 EST 2022. Contains 350514 sequences. (Running on oeis4.)