A264880 Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,1 0,-1 -2,0 or 1,1.

1, 0, 5, 4, 65, 228, 1101, 4832, 18501, 79088, 306617, 1273740, 5039669, 20532112, 82109789, 331870404, 1333905993, 5375261200, 21637089445, 87118807544, 350809834405, 1412328072196, 5687276800137, 22897079312012, 92199483148325

Offset

1,3

Comments

Row 3 of A264878.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +15*a(n-2) -68*a(n-3) -69*a(n-4) +516*a(n-5) -5*a(n-6) -2512*a(n-7) +1593*a(n-8) +11468*a(n-9) -15799*a(n-10) -49100*a(n-11) +101093*a(n-12) +164044*a(n-13) -436187*a(n-14) -389856*a(n-15) +1321846*a(n-16) +642184*a(n-17) -2924570*a(n-18) -715336*a(n-19) +4872606*a(n-20) +473736*a(n-21) -6251634*a(n-22) +6251634*a(n-24) -473736*a(n-25) -4872606*a(n-26) +715336*a(n-27) +2924570*a(n-28) -642184*a(n-29) -1321846*a(n-30) +389856*a(n-31) +436187*a(n-32) -164044*a(n-33) -101093*a(n-34) +49100*a(n-35) +15799*a(n-36) -11468*a(n-37) -1593*a(n-38) +2512*a(n-39) +5*a(n-40) -516*a(n-41) +69*a(n-42) +68*a(n-43) -15*a(n-44) -4*a(n-45) +a(n-46)

Example

All solutions for n=4
.10..2.12..4.14...10..2..3..4.14....1..2.12..4.14....1..2..3..4.14
.15..0..1..9..3...15..0..1..9.19...15..0.17..9..3...15..0.17..9.19
.11..5..6..7..8...11..5..6..7..8...11..5..6..7..8...11..5..6..7..8
.16.17.18.19.13...16.17.18.12.13...16.10.18.19.13...16.10.18.12.13

Crossrefs

Cf. A264878.

Sequence in context: A305170 A192344 A181613 * A128191 A378862 A375410

Adjacent sequences: A264877 A264878 A264879 * A264881 A264882 A264883

Keyword

nonn

Author

R. H. Hardin, Nov 27 2015

Status

approved