login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A252340
Number of (n+2)X(5+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 2 3 or 4
1
1202, 6030, 34894, 184434, 960912, 5095514, 26921266, 142055830, 751350674, 3970616096, 20965518986, 110757703254, 585288671536, 3092324660540, 16336190695884, 86305670639244, 455983026741470, 2409093456126340
OFFSET
1,1
COMMENTS
Column 5 of A252343
LINKS
FORMULA
Empirical: a(n) = a(n-1) +3*a(n-2) +42*a(n-3) +223*a(n-4) +485*a(n-5) +723*a(n-6) -806*a(n-7) -5802*a(n-8) -7742*a(n-9) -2191*a(n-10) +15114*a(n-11) +38950*a(n-12) +12875*a(n-13) -51485*a(n-14) -62587*a(n-15) -10948*a(n-16) +70876*a(n-17) +106851*a(n-18) +53452*a(n-19) -26830*a(n-20) -86750*a(n-21) -110193*a(n-22) -37947*a(n-23) +2815*a(n-24) +1242*a(n-25) +25129*a(n-26) -34729*a(n-27) -623*a(n-28) -6984*a(n-29) -7065*a(n-30) +17065*a(n-31) -14376*a(n-32) +11137*a(n-33) -9534*a(n-34) +5434*a(n-35) -2728*a(n-36) +1898*a(n-37) -781*a(n-38) +255*a(n-39) -156*a(n-40) +24*a(n-41) +11*a(n-42) -5*a(n-43) for n>45
EXAMPLE
Some solutions for n=4
..0..1..0..0..0..0..1....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..0..0..0..0..0..0....0..0..0..0..0..0..1....1..0..0..0..0..1..0
..0..0..0..0..0..0..0....0..1..0..0..0..0..0....0..0..0..1..0..0..0
..0..0..0..0..0..0..0....0..0..0..0..0..0..0....0..0..0..0..0..0..0
..0..1..0..0..0..0..0....0..0..1..0..0..0..0....0..0..0..0..0..0..0
..0..0..0..1..0..0..1....0..0..0..0..0..1..0....1..0..0..1..0..0..0
CROSSREFS
Sequence in context: A221451 A133142 A068534 * A230838 A210015 A259521
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 16 2014
STATUS
approved