|
%I #5 Mar 31 2012 12:36:57
%S 728,10530,111648,1049566,8749285,67221763,482381877,3278417620,
%T 21292822076,133144962772,806160642570,4748398319145,27311666611077,
%U 153883076248296,851564177769916,4638661765332636,24919433131812290
%N Number of (n+1)X2 0..6 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) nondecreasing in column and row directions, respectively
%C Column 1 of A203672
%H R. H. Hardin, <a href="/A203665/b203665.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 28*a(n-1) -322*a(n-2) +1834*a(n-3) -3997*a(n-4) -10766*a(n-5) +82119*a(n-6) -106383*a(n-7) -433468*a(n-8) +1437628*a(n-9) +463198*a(n-10) -7515948*a(n-11) +5312637*a(n-12) +23100384*a(n-13) -32846803*a(n-14) -45497804*a(n-15) +103920009*a(n-16) +55024268*a(n-17) -222250272*a(n-18) -24485525*a(n-19) +350401411*a(n-20) -50227589*a(n-21) -424529997*a(n-22) +133903028*a(n-23) +404686788*a(n-24) -178566336*a(n-25) -307869304*a(n-26) +165710150*a(n-27) +188460116*a(n-28) -116101405*a(n-29) -93173971*a(n-30) +63397426*a(n-31) +37196490*a(n-32) -27339381*a(n-33) -11940835*a(n-34) +9340187*a(n-35) +3055777*a(n-36) -2517026*a(n-37) -614426*a(n-38) +528794*a(n-39) +94881*a(n-40) -84810*a(n-41) -10854*a(n-42) +10029*a(n-43) +866*a(n-44) -824*a(n-45) -43*a(n-46) +42*a(n-47) +a(n-48) -a(n-49)
%e Some solutions for n=4
%e ..1..0....2..3....3..2....4..4....1..4....1..6....1..3....1..3....4..4....3..6
%e ..0..1....2..3....0..5....2..6....3..2....6..4....0..4....4..2....3..6....6..3
%e ..0..3....1..4....1..6....4..5....0..5....4..6....3..5....4..6....4..5....3..6
%e ..6..3....3..2....1..6....3..6....5..1....4..6....2..6....6..4....5..5....3..6
%e ..3..6....0..5....6..6....4..5....0..6....4..6....2..6....4..6....4..6....3..6
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 04 2012
| 