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A252641
Number of (1+2) X (n+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 4 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 3 4 6 or 7.
1
572, 1013, 1758, 3162, 6598, 13038, 24852, 51396, 102832, 196692, 406087, 815173, 1564506, 3229898, 6492686, 12499511, 25777034, 51870487, 100142925, 206228256, 415426219, 804167670, 1653389401, 3334113495, 6470363703, 13279927241
OFFSET
1,1
COMMENTS
Row 1 of A252640.
LINKS
FORMULA
Empirical: a(n) = 54*a(n-3) -1300*a(n-6) +a(n-7) +a(n-8) +18442*a(n-9) -46*a(n-10) -48*a(n-11) -171869*a(n-12) +939*a(n-13) +1007*a(n-14) +1112232*a(n-15) -11261*a(n-16) -12125*a(n-17) -5161835*a(n-18) +88673*a(n-19) +92394*a(n-20) +17537697*a(n-21) -486813*a(n-22) -461456*a(n-23) -44251113*a(n-24) +1941080*a(n-25) +1492371*a(n-26) +83816227*a(n-27) -5824359*a(n-28) -2806042*a(n-29) -120301341*a(n-30) +13608098*a(n-31) +1230822*a(n-32) +132500058*a(n-33) -25409661*a(n-34) +8866119*a(n-35) -115158185*a(n-36) +38073643*a(n-37) -28401518*a(n-38) +84586799*a(n-39) -44658830*a(n-40) +46554872*a(n-41) -59077105*a(n-42) +39166599*a(n-43) -48767596*a(n-44) +41880073*a(n-45) -24271783*a(n-46) +33857442*a(n-47) -27389506*a(n-48) +9919627*a(n-49) -15168789*a(n-50) +13979868*a(n-51) -2423220*a(n-52) +4029102*a(n-53) -4453677*a(n-54) +361068*a(n-55) -512244*a(n-56) +193374*a(n-57) -111429*a(n-58) -17496*a(n-59) +514188*a(n-60) -1998*a(n-61) +23328*a(n-62) -196344*a(n-63) +61236*a(n-64) +23328*a(n-66) -21384*a(n-67) for n>74.
EXAMPLE
Some solutions for n=4
..1..2..1..0..3..1....1..3..3..1..0..3....1..3..0..1..3..0....3..3..1..3..0..0
..3..0..1..2..1..1....0..1..3..0..1..3....1..2..1..1..2..0....2..1..1..2..1..0
..1..0..3..3..1..3....1..1..2..1..0..2....3..0..1..3..3..1....3..1..3..0..1..2
CROSSREFS
Cf. A252640.
Sequence in context: A252633 A175989 A252640 * A360129 A252632 A263813
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 19 2014
STATUS
approved