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A264241 Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having directed index change 0,0 1,1 0,-1 -1,1 or 0,-2. 1
164, 3303, 108020, 2982248, 86191713, 2448948509, 69880683436, 1990480615856, 56719203638885, 1615913658048104, 46038493974481353, 1311639850525599391, 37368807663774005424, 1064639973302368901335, 30331672182171770000445 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A264244.

LINKS

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

FORMULA

Empirical: a(n) = 34*a(n-1) +88*a(n-2) -8234*a(n-3) +12917*a(n-4) +767950*a(n-5) -2272187*a(n-6) -36511882*a(n-7) +134812008*a(n-8) +983956922*a(n-9) -4150732435*a(n-10) -16122588834*a(n-11) +76550471685*a(n-12) +169223615060*a(n-13) -931325873986*a(n-14) -1099001005375*a(n-15) +7763661359267*a(n-16) +3566859016218*a(n-17) -44640633466597*a(n-18) +3202538925741*a(n-19) +176080263402798*a(n-20) -84395951091423*a(n-21) -472121161112433*a(n-22) +385226935968226*a(n-23) +852300105780103*a(n-24) -965535377569103*a(n-25) -1030188831713566*a(n-26) +1533776009431777*a(n-27) +836442862281179*a(n-28) -1633276784776094*a(n-29) -471290015682248*a(n-30) +1221637127683651*a(n-31) +191177940016726*a(n-32) -685656423070393*a(n-33) -36726945985762*a(n-34) +305168272455132*a(n-35) -22090860595070*a(n-36) -100831870829341*a(n-37) +18874054088806*a(n-38) +18847984270623*a(n-39) -4771579463622*a(n-40) -849708616976*a(n-41) +104163628954*a(n-42) -11402676095*a(n-43) +296297600*a(n-44) +165360704*a(n-45) -585040*a(n-46) -192320*a(n-47) -1536*a(n-48)

EXAMPLE

Some solutions for n=3

..0..1..3..5..4.10....0..2..7..3..9..5....0..6..2..4..5.10....0..6..2..4..9..5

..6..7..8..2.15.11....6..8..1.11.15..4....7..8..1.14..3.11....7.12..1.10..3.11

.12.14.19.20..9.17...12.14.19.17.21.10...12.15.19.20..9.17...13.14.15..8.16.17

.18.21.13.23.22.16...18.20.13.22.23.16...18.21.13.23.22.16...18.19.20.21.22.23

CROSSREFS

Cf. A264244.

Sequence in context: A205314 A229377 A209892 * A229369 A229388 A035826

Adjacent sequences:  A264238 A264239 A264240 * A264242 A264243 A264244

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 09 2015

STATUS

approved

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Last modified July 25 13:05 EDT 2021. Contains 346290 sequences. (Running on oeis4.)