A252564 Number of (6+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 4 6 or 7

3761, 16327, 93997, 242136, 1818662, 11035929, 28350064, 216831038, 1329037293, 3382609190, 26245219961, 162112063819, 409459673087, 3214375284653, 19969005645582, 50132403166124, 397156279282899, 2478165770954465

Offset

1,1

Comments

Row 6 of A252558

Links

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

Formula

Empirical: a(n) = 235*a(n-3) -15377*a(n-6) +231134*a(n-9) -2810947*a(n-12) +23472227*a(n-15) -127442070*a(n-18) +618426102*a(n-21) -1174418266*a(n-24) +287094995*a(n-27) +1098948151*a(n-30) -697123678*a(n-33) -202978930*a(n-36) +197586425*a(n-39) -20970000*a(n-42) for n>49

Example

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

Crossrefs

Sequence in context: A133967 A133969 A133970 * A137790 A300796 A338545

Adjacent sequences: A252561 A252562 A252563 * A252565 A252566 A252567

Keyword

nonn

Author

R. H. Hardin, Dec 18 2014

Status

approved