A264252 Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,1 0,-1 0,2 1,0 or -1,0.

29, 157, 1920, 14893, 147797, 1273553, 11868873, 105792288, 966768105, 8711282401, 79116828661, 715364020157, 6484379106368, 58694951850221, 531710495858013, 4814568992437201, 43606141278712001, 394890939651946112

Offset

1,1

Comments

Column 3 of A264257.

Links

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

Formula

Empirical: a(n) = 19*a(n-1) -84*a(n-2) -440*a(n-3) +4562*a(n-4) -6128*a(n-5) -52306*a(n-6) +176044*a(n-7) +178409*a(n-8) -1566967*a(n-9) +1071970*a(n-10) +6050538*a(n-11) -10528356*a(n-12) -8015378*a(n-13) +32496674*a(n-14) -11033682*a(n-15) -40764983*a(n-16) +40764983*a(n-17) +11033682*a(n-18) -32496674*a(n-19) +8015378*a(n-20) +10528356*a(n-21) -6050538*a(n-22) -1071970*a(n-23) +1566967*a(n-24) -178409*a(n-25) -176044*a(n-26) +52306*a(n-27) +6128*a(n-28) -4562*a(n-29) +440*a(n-30) +84*a(n-31) -19*a(n-32) +a(n-33)

Example

Some solutions for n=4
..1..5..3..2....1..5..3..2....1..5..3..2....1..5..6..2....1..2..6..7
..0..6..4.11....0..4.10.11....0..4..7..6....0..9.10..3....0..9..5..3
..9.10..8..7....9..8..6..7....9.10..8.15....4..8.11..7....4..8.11.10
.16.12.13.19...16.12.13.14...13.14.12.11...13.17.18.14...13.12.18.14
.17.18.14.15...17.18.19.15...17.16.19.18...12.16.19.15...17.16.19.15

Crossrefs

Cf. A264257.

Sequence in context: A101096 A142827 A142938 * A264530 A141910 A111032

Adjacent sequences: A264249 A264250 A264251 * A264253 A264254 A264255

Keyword

nonn

Author

R. H. Hardin, Nov 09 2015

Status

approved