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A264585 Number of (2+1) X (n+1) arrays of permutations of 0..n*3+2 with each element having directed index change 1,0 0,-1 1,2 or -1,1. 1
1, 2, 4, 10, 16, 56, 128, 320, 784, 1792, 4480, 10496, 25600, 62080, 149504, 363520, 872448, 2109440, 5088256, 12279808, 29683712, 71622656, 173031424, 417669120, 1008336896, 2434695168, 5877530624, 14192476160, 34265432064, 82732646400 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) + 16*a(n-5) - 16*a(n-6) + 32*a(n-7) - 64*a(n-10).
Empirical g.f.: x*(1 + 2*x^3 - 4*x^4 + 8*x^5 - 16*x^8) / (1 - 2*x - 16*x^5 + 16*x^6 - 32*x^7 + 64*x^10). - Colin Barker, Jan 08 2019
EXAMPLE
Some solutions for n=4:
..1..2..3..7..8....1..5..3..4..8....1..5..3..7..8....1..5..6..4..8
..0.10.11.12..4....6.10..0..9..2....0.10..2.12..4....0.10..2..3.13
..5..6.13.14..9...11.12.13.14..7...11..6.13.14..9...11.12..7.14..9
CROSSREFS
Row 2 of A264583.
Sequence in context: A348305 A277918 A238720 * A077635 A125754 A097870
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 18 2015
STATUS
approved

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Last modified June 23 20:17 EDT 2024. Contains 373653 sequences. (Running on oeis4.)