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A203665
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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
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1
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728, 10530, 111648, 1049566, 8749285, 67221763, 482381877, 3278417620, 21292822076, 133144962772, 806160642570, 4748398319145, 27311666611077, 153883076248296, 851564177769916, 4638661765332636, 24919433131812290
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OFFSET
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1,1
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COMMENTS
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LINKS
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FORMULA
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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)
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EXAMPLE
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Some solutions for n=4
..1..0....2..3....3..2....4..4....1..4....1..6....1..3....1..3....4..4....3..6
..0..1....2..3....0..5....2..6....3..2....6..4....0..4....4..2....3..6....6..3
..0..3....1..4....1..6....4..5....0..5....4..6....3..5....4..6....4..5....3..6
..6..3....3..2....1..6....3..6....5..1....4..6....2..6....6..4....5..5....3..6
..3..6....0..5....6..6....4..5....0..6....4..6....2..6....4..6....4..6....3..6
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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