A258676 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum

8320, 67600, 635440, 5973136, 51939888, 451647504, 4096960560, 37164128400, 329478755760, 2920995464464, 26224710993712, 235445578423696, 2099178946945200, 18715799552490000, 167514610643031600

Offset

1,1

Comments

Column 3 of A258681

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -16*a(n-2) +208*a(n-3) +4712*a(n-4) -2904*a(n-5) +72928*a(n-6) -376480*a(n-7) -6880000*a(n-8) -690688*a(n-9) -93244416*a(n-10) +217147392*a(n-11) +4038631424*a(n-12) +1051099136*a(n-13) +52312670208*a(n-14) -53388509184*a(n-15) -1049520766976*a(n-16) -121475432448*a(n-17) -13177328762880*a(n-18) +9328937402368*a(n-19) +126283849662464*a(n-20) +9629316677632*a(n-21) +1510282299965440*a(n-22) -964821453373440*a(n-23) -6641050231767040*a(n-24) -2199023255552000*a(n-25) -73535337665658880*a(n-26) +37154696925806592*a(n-27) +108086391056891904*a(n-28) +144115188075855872*a(n-29) +1152921504606846976*a(n-30)

Example

Some solutions for n=2
..1..0..0..1..1....0..0..1..0..0....1..0..0..0..0....1..1..0..0..1
..1..1..0..1..0....0..0..1..0..1....0..0..1..1..0....0..1..1..1..1
..0..1..0..0..0....1..0..0..1..1....1..1..1..0..0....1..1..1..1..0
..1..0..1..1..0....0..1..0..0..1....0..1..0..0..0....1..1..1..0..0

Crossrefs

Cf. A258681

Sequence in context: A250991 A206192 A252155 * A170778 A062852 A124414

Adjacent sequences: A258673 A258674 A258675 * A258677 A258678 A258679

Keyword

nonn

Author

R. H. Hardin, Jun 07 2015

Status

approved