A203449 Number of (n+1)X6 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing

128, 376, 4200, 46853, 554620, 5972476, 58336803, 513856445, 4101307146, 29848597757, 199510291989, 1233383781223, 7098573840897, 38262130398415, 194182080859393, 932300124491835, 4252520574236931, 18497724390086100

Offset

1,1

Comments

Column 5 of A203452

Links

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

Formula

Empirical: a(n) = 55*a(n-1) -1483*a(n-2) +26127*a(n-3) -338193*a(n-4) +3429153*a(n-5) -28357173*a(n-6) +196602705*a(n-7) -1165912020*a(n-8) +6004200930*a(n-9) -27167717850*a(n-10) +109017693330*a(n-11) -390868315110*a(n-12) +1259737285590*a(n-13) -3667535195310*a(n-14) +9683348321430*a(n-15) -23258505573135*a(n-16) +50939627117085*a(n-17) -101889860027865*a(n-18) +186269554665285*a(n-19) -311184592804995*a(n-20) +474428969358435*a(n-21) -658078892981055*a(n-22) +825759258027795*a(n-23) -927565193949030*a(n-24) +913991069159532*a(n-25) -755278225466940*a(n-26) +457962352584716*a(n-27) -69533550916004*a(n-28) -333281502666364*a(n-29) +668960713985004*a(n-30) -877793403054204*a(n-31) +938876964606945*a(n-32) -871006340659455*a(n-33) +719295534188595*a(n-34) -535645610565975*a(n-35) +362198460477945*a(n-36) -223220139898665*a(n-37) +125604414729885*a(n-38) -64557466221465*a(n-39) +30290146792920*a(n-40) -12955106337390*a(n-41) +5039562750390*a(n-42) -1777622462910*a(n-43) +566360211690*a(n-44) -162197055930*a(n-45) +41503024290*a(n-46) -9418306170*a(n-47) +1878003855*a(n-48) -325211445*a(n-49) +48175569*a(n-50) -5983965*a(n-51) +606267*a(n-52) -48123*a(n-53) +2807*a(n-54) -107*a(n-55) +2*a(n-56) for n>79

Example

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

Crossrefs

Sequence in context: A229360 A086059 A220582 * A195090 A209380 A135271

Adjacent sequences: A203446 A203447 A203448 * A203450 A203451 A203452

Keyword

nonn

Author

R. H. Hardin Jan 02 2012

Status

approved