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A203665 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 1
728, 10530, 111648, 1049566, 8749285, 67221763, 482381877, 3278417620, 21292822076, 133144962772, 806160642570, 4748398319145, 27311666611077, 153883076248296, 851564177769916, 4638661765332636, 24919433131812290 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 1 of A203672

LINKS

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

FORMULA

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)

EXAMPLE

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

CROSSREFS

Sequence in context: A293650 A233962 A203672 * A203913 A203909 A085479

Adjacent sequences:  A203662 A203663 A203664 * A203666 A203667 A203668

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 04 2012

STATUS

approved

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Last modified December 15 03:48 EST 2019. Contains 329990 sequences. (Running on oeis4.)