A264274 Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having index change +-(.,.) 0,0 1,0 or 1,2.

25, 305, 3721, 40626, 443556, 4861800, 53290000, 586058600, 6445199524, 70892939818, 779775536401, 8576942789777, 94339901914129, 1037668357033074, 11413575775898244, 125540825889208392, 1380855507020471056

Offset

1,1

Comments

Row 3 of A264272.

Links

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

Formula

Empirical: a(n) = 11*a(n-1) +10*a(n-2) -110*a(n-3) -111*a(n-4) +1210*a(n-5) +1341*a(n-6) -14630*a(n-7) -111*a(n-8) -110*a(n-9) +1451*a(n-10) -1451*a(n-12) +110*a(n-13) +111*a(n-14) +14630*a(n-15) -1341*a(n-16) -1210*a(n-17) +111*a(n-18) +110*a(n-19) -10*a(n-20) -11*a(n-21) +a(n-22)

Example

Some solutions for n=4
..0..1..9..8..4....0..1..9..8..4....5..1..9..3..4....5..8..9..3..4
.10.13..7..3..2...10..6.14..3..2....0..6..2.13.14...12.11..0..1..2
.17.11..5..6.14....5.11.17.13..7...10.16.19..8..7...15..6..7.18.19
.15.16.12.18.19...15.16.12.18.19...15.11.17.18.12...10.16.17.13.14

Crossrefs

Cf. A264272.

Sequence in context: A128377 A171445 A359097 * A278876 A053805 A240846

Adjacent sequences: A264271 A264272 A264273 * A264275 A264276 A264277

Keyword

nonn

Author

R. H. Hardin, Nov 10 2015

Status

approved