The On-Line Encyclopedia of Integer Sequences (OEIS)

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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
(history; published version)

#5 by Russ Cox at Sat Mar 31 12:36:57 EDT 2012

AUTHOR

_R. H. Hardin (rhhardin(AT)att.net) _ Jan 02 2012

Discussion

Sat Mar 31

12:36

OEIS Server: https://oeis.org/edit/global/875

#4 by Ron Hardin at Mon Jan 02 06:30:09 EST 2012

STATUS

editing

approved

#3 by Ron Hardin at Mon Jan 02 06:30:05 EST 2012

LINKS

R. H. Hardin, <a href="/A203449/b203449.txt">Table of n, a(n) for n = 1..210</a>

#2 by Ron Hardin at Mon Jan 02 06:29:45 EST 2012

NAME

allocated for Ron HardinNumber 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

DATA

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

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

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin (rhhardin(AT)att.net) Jan 02 2012

STATUS

approved

editing

#1 by Ron Hardin at Mon Jan 02 06:19:42 EST 2012

NAME

allocated for Ron Hardin

KEYWORD

allocated

STATUS

approved