|
| |
|
|
A254917
|
|
Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the central row and central column plus the two minimums of the diagonal and antidiagonal nondecreasing horizontally and vertically
|
|
1
|
|
|
|
14184, 127758, 1041262, 6104373, 34618330, 191418723, 1047501844, 5778928560, 32046146646, 178170179340, 996050870598, 5580375681647, 31328874895742, 176042327547923, 989868096940978, 5567974126575840, 31327430868788876
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
|
|
|
LINKS
|
|
|
|
FORMULA
|
Empirical: a(n) = 12*a(n-1) -38*a(n-2) -32*a(n-3) +379*a(n-4) -1168*a(n-5) +2072*a(n-6) +4756*a(n-7) -10786*a(n-8) -29864*a(n-9) -1812*a(n-10) +80000*a(n-11) -657762*a(n-12) +3299328*a(n-13) +2102472*a(n-14) -12998648*a(n-15) -116749*a(n-16) -30229796*a(n-17) -68744086*a(n-18) +148872448*a(n-19) +1158685607*a(n-20) -444634768*a(n-21) -3636584816*a(n-22) +624070596*a(n-23) -8066581456*a(n-24) +11290519264*a(n-25) +53521763936*a(n-26) -16292626368*a(n-27) -104210784704*a(n-28) -146719887872*a(n-29) +245882904832*a(n-30) +254599577600*a(n-31) -383082742784*a(n-32) +645842774016*a(n-33) -801745596416*a(n-34) -1232390627328*a(n-35) +2690572042240*a(n-36) -1429994373120*a(n-37) -125407264768*a(n-38) +2861540048896*a(n-39) -4771857039360*a(n-40) +1722833960960*a(n-41) +2003257262080*a(n-42) -3508692582400*a(n-43) +3703117447168*a(n-44) -1069874675712*a(n-45) -1947868332032*a(n-46) +2181642059776*a(n-47) -1265069195264*a(n-48) +267093278720*a(n-49) +576062488576*a(n-50) -541165879296*a(n-51) +137438953472*a(n-52) for n>59
|
|
|
EXAMPLE
|
Some solutions for n=2
..0..0..1..0..1....1..0..1..1..1....0..0..0..1..0....0..1..0..0..0
..0..0..1..1..0....1..0..1..1..1....0..1..1..1..0....1..1..1..1..0
..1..0..0..1..0....1..0..0..1..0....1..0..0..1..0....1..1..0..0..1
..1..0..1..1..1....0..0..1..0..1....1..1..0..1..1....0..0..0..0..0
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
