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A200329 T(n,k)=Number of 0..k arrays x(0..n+2) of n+3 elements with zero n-1st differences 9

%I #5 Mar 31 2012 12:36:39

%S 1,1,2,1,3,2,1,4,3,2,1,5,4,3,2,1,6,5,4,3,2,1,7,8,5,4,3,2,1,8,11,6,5,4,

%T 3,2,1,9,14,13,6,5,4,3,2,1,10,17,20,13,6,5,4,3,2,1,11,20,27,28,9,6,5,

%U 4,3,2,1,12,25,36,43,26,7,6,5,4,3,2,1,13,30,49,58,49,18,7,6,9,4,3,2,1,14,35,62

%N T(n,k)=Number of 0..k arrays x(0..n+2) of n+3 elements with zero n-1st differences

%C Table starts

%C .1.1.1.1..1..1..1..1...1...1...1...1....1....1....1....1....1....1....1....1

%C .2.3.4.5..6..7..8..9..10..11..12..13...14...15...16...17...18...19...20...21

%C .2.3.4.5..8.11.14.17..20..25..30..35...40...45...52...59...66...73...80...89

%C .2.3.4.5..6.13.20.27..36..49..62..81..100..119..146..177..208..247..286..329

%C .2.3.4.5..6.13.28.43..58..87.116.159..206..271..350..453..566..689..828.1007

%C .2.3.4.5..6..9.26.49..76.117.174.257..348..505..704..965.1290.1655.2080

%C .2.3.4.5..6..7.18.43..78.131.224.363..526..833.1236.1803.2496.3415

%C .2.3.4.5..6..7.16.49.100.193.322.517..764.1281.2048.3195.4686

%C .2.3.4.5..6.17.30.61.106.173.328.683.1204.2075.3450.5525

%C .2.3.4.9.16.25.34.61.108.193.370.881.1728.3285.5892

%H R. H. Hardin, <a href="/A200329/b200329.txt">Table of n, a(n) for n = 1..291</a>

%e Some solutions for n=9 k=9

%e ..9....0....5....5....3....3....0....9....8....5....2....7....5....7....0....5

%e ..9....8....5....5....3....4....0....0....9....2....9....7....5....6....5....8

%e ..9....6....5....8....3....3....0....6....5....5....5....7....2....7....6....2

%e ..9....2....5....5....3....5....0....5....2....9....2....7....5....5....4....1

%e ..9....0....5....1....3....7....1....1....1....9....2....6....9....3....3....5

%e ..9....1....5....1....3....7....3....0....1....5....3....4....9....3....4....9

%e ..9....4....5....5....3....6....5....2....1....1....3....2....5....4....5....9

%e ..9....7....5....9....3....6....6....3....1....1....2....1....1....4....4....5

%e ..9....8....5....9....3....7....6....1....2....5....2....1....1....3....2....1

%e ..9....6....5....5....3....6....6....0....5....8....5....1....5....4....3....2

%e ..9....2....5....2....3....1....6....6....9....5....9....1....8....9....8....8

%e ..9....0....5....5....3....3....0....9....8....5....2....7....5....7....0....5

%Y Row 3 is A008812

%K nonn,tabl

%O 1,3

%A _R. H. Hardin_ Nov 16 2011

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Last modified March 29 03:51 EDT 2024. Contains 371264 sequences. (Running on oeis4.)