A252616 Number of (1+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8

614, 1051, 1717, 3235, 6403, 12421, 25137, 50144, 99378, 200999, 401361, 798362, 1616155, 3230992, 6434910, 13040208, 26096798, 52010678, 105477211, 211254469, 421231460, 854657745, 1712778293, 3416431696, 6933759691, 13902078766

Offset

1,1

Comments

Row 1 of A252615

Links

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

Formula

Empirical: a(n) = 31*a(n-3) -410*a(n-6) +a(n-8) +3074*a(n-9) +3*a(n-10) -26*a(n-11) -14692*a(n-12) -53*a(n-13) +283*a(n-14) +47861*a(n-15) +399*a(n-16) -1715*a(n-17) -111034*a(n-18) -1665*a(n-19) +6451*a(n-20) +189174*a(n-21) +3844*a(n-22) -15775*a(n-23) -242119*a(n-24) -3152*a(n-25) +25025*a(n-26) +236884*a(n-27) -7464*a(n-28) -23386*a(n-29) -178773*a(n-30) +26688*a(n-31) +6103*a(n-32) +101392*a(n-33) -37899*a(n-34) +14742*a(n-35) -37248*a(n-36) +28261*a(n-37) -22633*a(n-38) +3838*a(n-39) -8471*a(n-40) +17289*a(n-41) +2411*a(n-42) -1907*a(n-43) -9723*a(n-44) +50*a(n-45) +924*a(n-46) +4983*a(n-47) -462*a(n-48) +560*a(n-49) -2087*a(n-50) +32*a(n-51) +264*a(n-52) +464*a(n-53) -8*a(n-54) -364*a(n-55) +36*a(n-56) +16*a(n-58) -32*a(n-59) +16*a(n-61) for n>69

Example

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

Crossrefs

Sequence in context: A025329 A252608 A252615 * A252607 A210103 A191938

Adjacent sequences: A252613 A252614 A252615 * A252617 A252618 A252619

Keyword

nonn

Author

R. H. Hardin, Dec 19 2014

Status

approved