A264168 Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,0 0,1 1,0 -2,-1 or -1,-2.

8, 98, 733, 6017, 50237, 408698, 3328825, 27209977, 222177128, 1813435208, 14803828328, 120852647727, 986565212628, 8053684929404, 65745379307052, 536704982476363, 4381328159577221, 35766461741454310, 291975358070256381

Offset

1,1

Comments

Column 3 of A264172.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +4*a(n-2) +87*a(n-3) +176*a(n-4) +217*a(n-5) +262*a(n-6) -1322*a(n-7) -12843*a(n-8) -21954*a(n-9) -104064*a(n-10) -187318*a(n-11) -360207*a(n-12) -594122*a(n-13) -413074*a(n-14) +937205*a(n-15) +3779884*a(n-16) +14732387*a(n-17) +31013908*a(n-18) +51563906*a(n-19) +119030603*a(n-20) +87357060*a(n-21) +288349780*a(n-22) +54443112*a(n-23) +436604839*a(n-24) -11837942*a(n-25) +356271132*a(n-26) -23529301*a(n-27) +23529301*a(n-29) -356271132*a(n-30) +11837942*a(n-31) -436604839*a(n-32) -54443112*a(n-33) -288349780*a(n-34) -87357060*a(n-35) -119030603*a(n-36) -51563906*a(n-37) -31013908*a(n-38) -14732387*a(n-39) -3779884*a(n-40) -937205*a(n-41) +413074*a(n-42) +594122*a(n-43) +360207*a(n-44) +187318*a(n-45) +104064*a(n-46) +21954*a(n-47) +12843*a(n-48) +1322*a(n-49) -262*a(n-50) -217*a(n-51) -176*a(n-52) -87*a(n-53) -4*a(n-54) -6*a(n-55) +a(n-56)

Example

Some solutions for n=4
..6..0.11..2....6..0.11..3....0..7.11..2....9..1..2..3....6..1..2..3
.13..1.15..3....4..1..2..7....4..1..5..3....0.11..5..7....0..4..5..7
..4..5..9..7....8..5..9.10....8..9..6.10....4.18..6.10....8..9.10.11
..8.19.10.14...12.19.13.15...12.19.13.14....8.12.14.15...18.12.14.15
.12.16.17.18...16.17.14.18...16.17.18.15...16.13.17.19...16.13.17.19

Crossrefs

Cf. A264172.

Sequence in context: A116130 A302527 A303409 * A116287 A290242 A116229

Adjacent sequences: A264165 A264166 A264167 * A264169 A264170 A264171

Keyword

nonn

Author

R. H. Hardin, Nov 06 2015

Status

approved