A264186 Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having index change +-(.,.) 0,0 1,-1 or 2,2.

16, 375, 7056, 147968, 2944656, 57950000, 1150295056, 22732293168, 450192689296, 8919674478000, 176663546922256, 3499639051057968, 69320547774657936, 1373070214770126000, 27197546663936944656, 538720520835026168368

Offset

1,1

Comments

Column 4 of A264190.

Links

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

Formula

Empirical: a(n) = 15*a(n-1) +76*a(n-2) +304*a(n-3) -4816*a(n-4) +95344*a(n-5) +477888*a(n-6) +1911552*a(n-7) +9190400*a(n-8) +7421952*a(n-9) +4980736*a(n-10) +19922944*a(n-11) +96468992*a(n-12) +67108864*a(n-13)

Example

Some solutions for n=4
..0..1..2..3..4....0..5..6..3..8....0.13.14..3..8....0.13..2..3..4
.17.18.19..8..9....1..2..7..4..9....1..2..7..4..9....5..6..7..8..9
.10.11.12.13.14...10.15.12.13.14....6.11.12.17.18...22.15.12..1.18
.15.20..5..6..7...11.16.21.22.19...15.20..5.22.23...11.16.17.14.19
.16.21.22.23.24...20.17.18.23.24...16.21.10.19.24...20.21.10.23.24

Crossrefs

Cf. A264190.

Sequence in context: A187177 A053105 A220576 * A240458 A240891 A241106

Adjacent sequences: A264183 A264184 A264185 * A264187 A264188 A264189

Keyword

nonn

Author

R. H. Hardin, Nov 06 2015

Status

approved