A252348 Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 8 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 8

2176, 5641, 15208, 40756, 137488, 425816, 1312020, 4674588, 14943406, 47066756, 170470012, 547418472, 1733138452, 6310325660, 20264448300, 64210355548, 234552267492, 752373575104, 2384156623940, 8732484325388, 27975783641552

Offset

1,1

Comments

Column 4 of A252352

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -2*a(n-2) +87*a(n-3) -261*a(n-4) +174*a(n-5) -2324*a(n-6) +6972*a(n-7) -4648*a(n-8) +15538*a(n-9) -46614*a(n-10) +31076*a(n-11) +118156*a(n-12) -354468*a(n-13) +236312*a(n-14) -1711912*a(n-15) +5135736*a(n-16) -3423824*a(n-17) +4533488*a(n-18) -13600464*a(n-19) +9066976*a(n-20) +11593984*a(n-21) -34781952*a(n-22) +23187968*a(n-23) -61654400*a(n-24) +184963200*a(n-25) -123308800*a(n-26) +31107328*a(n-27) -93321984*a(n-28) +62214656*a(n-29) +142315520*a(n-30) -426946560*a(n-31) +284631040*a(n-32) -139388928*a(n-33) +418166784*a(n-34) -278777856*a(n-35) -64335872*a(n-36) +193007616*a(n-37) -128671744*a(n-38) +63504384*a(n-39) -190513152*a(n-40) +127008768*a(n-41) +5668864*a(n-42) -17006592*a(n-43) +11337728*a(n-44) -4653056*a(n-45) +13959168*a(n-46) -9306112*a(n-47) +262144*a(n-48) -786432*a(n-49) +524288*a(n-50) for n>53

Example

Some solutions for n=4
..0..1..3..3..1..3....3..0..1..3..0..1....1..0..1..3..3..3....3..3..1..3..0..1
..2..3..2..2..3..2....2..2..3..2..2..0....0..1..0..1..0..1....2..2..0..2..2..3
..2..0..2..2..0..2....2..2..3..2..2..0....1..0..1..0..1..3....2..2..3..2..2..0
..3..1..3..3..1..3....3..3..1..3..3..1....3..1..0..1..0..3....3..3..1..3..3..1
..2..3..2..2..3..2....2..2..0..2..2..0....3..0..1..0..1..3....2..2..0..2..2..0
..2..0..2..2..0..2....2..2..3..2..2..0....3..1..0..1..0..1....2..2..0..2..2..3

Crossrefs

Sequence in context: A252238 A237303 A283346 * A252522 A159712 A186917

Adjacent sequences: A252345 A252346 A252347 * A252349 A252350 A252351

Keyword

nonn

Author

R. H. Hardin, Dec 16 2014

Status

approved