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A264579 Number of (n+1) X (4+1) arrays of permutations of 0..n*5+4 with each element having directed index change 1,0 0,-1 1,2 or -1,1. 1
1, 10, 28, 104, 505, 2144, 8185, 33056, 141037, 570758, 2282482, 9418808, 38665282, 156604130, 638555695, 2615136620, 10661366332, 43431404510, 177359065069, 724008744080, 2952331313623, 12044993411660, 49159821177145 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +36*a(n-3) +9*a(n-4) -243*a(n-6) for n>7.

Empirical g.f.: x*(1 + 8*x + 8*x^2 + 12*x^3 - 72*x^4 + 36*x^5 + 144*x^6) / (1 - 2*x - 36*x^3 - 9*x^4 + 243*x^6). - Colin Barker, Jan 08 2019

EXAMPLE

Some solutions for n=4:

..1..5..3..7..8....1..5..6..4..8....1..5..3..4..8....1..2..3..4..8

..0.10..2.12..4....0.10..2..3.13....6.10..0.12..2....6.10..0..9.13

.11.15.13..6..9...11.15..7.14..9...11.15..7.17..9....5.12..7.14.18

.16.20.18.19.14...16.20.18.19.12...16.20.18.13.14...16.20.21.11.23

.21.22.23.24.17...21.22.23.24.17...21.22.23.24.19...15.22.17.24.19

CROSSREFS

Column 4 of A264583.

Sequence in context: A126364 A076712 A116973 * A003665 A332432 A219812

Adjacent sequences:  A264576 A264577 A264578 * A264580 A264581 A264582

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 18 2015

STATUS

approved

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Last modified October 23 01:49 EDT 2020. Contains 337962 sequences. (Running on oeis4.)