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A264564 Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having directed index change 1,0 1,1 0,-1 or -1,1. 1
1, 4, 10, 31, 79, 224, 646, 1784, 5010, 14026, 39283, 110214, 308476, 864321, 2421872, 6784237, 19008032, 53250952, 149186453, 417966045, 1170955616, 3280543940, 9190733824, 25748605578, 72137045260, 202098106485, 566195445452 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 3 of A264569.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +a(n-2) +6*a(n-3) -6*a(n-4) +6*a(n-5) -27*a(n-6) +5*a(n-7) -9*a(n-8) +33*a(n-9) -4*a(n-10) +7*a(n-11) -12*a(n-12) +a(n-13) -a(n-14) +a(n-15)

EXAMPLE

Some solutions for n=4

..1..4..3..6....1..4..3..6....1..4..3..6....1..2..5..6....1..2..5..6

..5..0..7..2....5..0..2.10....5..0..7..2....0..8..7..3....0..8..7..3

..9.12.13.14....9.12.13..7....9.10.11.14....9..4.11.14....9..4.11.14

..8.16.10.11....8.16.15.11....8.16.17.18...13.16.17.10...13.16.10.18

.17.18.19.15...17.18.19.14...12.13.19.15...12.18.19.15...17.12.19.15

CROSSREFS

Cf. A264569.

Sequence in context: A067142 A145453 A333916 * A304963 A034730 A321143

Adjacent sequences:  A264561 A264562 A264563 * A264565 A264566 A264567

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 17 2015

STATUS

approved

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Last modified July 13 17:54 EDT 2020. Contains 335689 sequences. (Running on oeis4.)