A264021 Number of (6+1)X(n+1) arrays of permutations of 0..n*7+6 with each element having index change +-(.,.) 0,0 1,2 or 2,2.

1, 233, 54289, 3524125, 228765625, 21860843125, 2089022169025, 188902868291280, 17081816640235776, 1556476909654928976, 141824515583579002801, 12912728820640619613016, 1175668148128746582139456

Offset

1,2

Comments

Row 6 of A264017.

Links

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

Formula

Empirical: a(n) = 87*a(n-1) +32068*a(n-3) +180766*a(n-4) -3715198*a(n-5) -16639004*a(n-6) +149707392*a(n-7) +542256817*a(n-8) +224301365*a(n-9) +4280490864*a(n-10) -2613943512*a(n-11) +12541107972*a(n-12) -12056948868*a(n-13) +9621158616*a(n-14) -5946708960*a(n-15) -2779571151*a(n-16) +6286349025*a(n-17) -2468635920*a(n-18) -364811148*a(n-19) +148489470*a(n-20) -3874014*a(n-21) +2657124*a(n-22) +16767*a(n-24) +243*a(n-25) for n>31

Example

Some solutions for n=3
..6.11..2..3....6..7..2..3....6..7..2..3....0.11..2..3....0..1..2..3
..4.15..0..7...14.11..0..1...10.11..0..1....4..5..6..7....4.11..6..7
..8..9.10..1...18.15.10..5...18.15..4..5...18.15.10..1....8..9.10..5
.18.13.14..5...12.23..4..9...22.13.14..9...12.23.14..9...22.23.14.15
.16.17.12.19...26.17..8.19...16.27..8.19...26.17..8.19...26.17.18.19
.26.21.22.23...20.27.22.13...26.21.12.23...20.27.22.13...20.27.12.13
.24.25.20.27...24.25.16.21...24.25.20.17...24.25.16.21...24.25.16.21

Crossrefs

Cf. A264017.

Sequence in context: A232322 A264069 A269548 * A256086 A186897 A184450

Adjacent sequences: A264018 A264019 A264020 * A264022 A264023 A264024

Keyword

nonn

Author

R. H. Hardin, Nov 01 2015

Status

approved