A264283 Number of (n+1)X(6+1) arrays of permutations of 0..n*7+6 with each element having directed index change 0,0 0,1 1,0 or -1,-2.

69, 1228, 23852, 448821, 8405669, 157344756, 2943284092, 55051679668, 1029653214581, 19257696830753, 360177074785951, 6736389525457738, 125990593920680631, 2356399915372788509, 44071705305977748721

Offset

1,1

Comments

Column 6 of A264285.

Links

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

Formula

Empirical: a(n) = 21*a(n-1) -35*a(n-2) -24*a(n-3) -2418*a(n-4) +1222*a(n-5) +1666*a(n-6) +75369*a(n-7) +39969*a(n-8) +248500*a(n-9) +598695*a(n-10) +216997*a(n-11) +1075367*a(n-12) -6591199*a(n-13) +4139667*a(n-14) -9785301*a(n-15) -12360890*a(n-16) +1932484*a(n-17) -7781630*a(n-18) +149081924*a(n-19) -138365444*a(n-20) +24141639*a(n-21) -11812497*a(n-22) +7948563*a(n-23) +433802*a(n-24) +3921508*a(n-25) -27876300*a(n-26) +20972668*a(n-27) +14393531*a(n-28) -25372299*a(n-29) +12929562*a(n-30) -751221*a(n-31) -1759401*a(n-32) +272403*a(n-33) +152361*a(n-34) -15309*a(n-35) -6561*a(n-36)

Example

Some solutions for n=3
..0..1..2..3.13..4..6....0..1.11..2..3..4..5....9..1..2.12..4..5..6
.16..8..9.10.11..5.12...16..8..9.10.20.12..6....0..7.18..3.10.11.13
..7.14.15.26.17.19.20....7.24.15.26.17.18.13...14..8.15.26.17.19.20
.21.22.23.24.18.25.27...14.21.22.23.25.19.27...21.22.16.23.24.25.27

Crossrefs

Cf. A264285.

Sequence in context: A095255 A253000 A295212 * A333034 A200826 A359105

Adjacent sequences: A264280 A264281 A264282 * A264284 A264285 A264286

Keyword

nonn

Author

R. H. Hardin, Nov 10 2015

Status

approved