A264362 Number of (n+1)X(6+1) arrays of permutations of 0..n*7+6 with each element having directed index change 0,0 0,2 1,0 or -1,-2.

78, 1440, 33408, 730368, 16066704, 353333680, 7767356736, 170773835200, 3754476071280, 82543032602992, 1814726100469488, 39897129815403584, 877146760653765696, 19284254647180360880, 423968366892038460336

Offset

1,1

Comments

Column 6 of A264364.

Links

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

Formula

Empirical: a(n) = 21*a(n-1) +59*a(n-2) -666*a(n-3) -3991*a(n-4) +12120*a(n-5) +20965*a(n-6) -129645*a(n-7) +341857*a(n-8) +5426883*a(n-9) -9160816*a(n-10) -3733596*a(n-11) +126453658*a(n-12) -417161571*a(n-13) +465368456*a(n-14) -225117075*a(n-15) -303829226*a(n-16) +844092492*a(n-17) -326894784*a(n-18) -180879696*a(n-19) +174340672*a(n-20) +47719872*a(n-21) +92096640*a(n-22) -47798016*a(n-23) +5112320*a(n-24) +15599616*a(n-25) +14057472*a(n-26) +6856704*a(n-27) +1646592*a(n-28) +294912*a(n-29) +32768*a(n-30)

Example

Some solutions for n=3
..9..1..2..3..4..5..6....0..1..2..3.13..5..4....0.10..2.12..4..3..6
..0..8..7.10.11.12.13....7..8..9.10.11.12..6...16..1.18..8..9..5.11
.14.24.25.17.27.19.18...14.24.16.17.27.19.20....7.24.14.15.27.19.13
.21.15.16.22.23.26.20...21.15.23.22.18.26.25...21.22.23.17.25.26.20

Crossrefs

Cf. A264364.

Sequence in context: A175383 A190396 A230521 * A160839 A187590 A172217

Adjacent sequences: A264359 A264360 A264361 * A264363 A264364 A264365

Keyword

nonn

Author

R. H. Hardin, Nov 12 2015

Status

approved