cp's OEIS Frontend

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

%I A200329 #7 Jul 22 2025 15:47:03
%S A200329 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 A200329 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 A200329 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 A200329 T(n,k)=Number of 0..k arrays x(0..n+2) of n+3 elements with zero n-1st differences.
%C A200329 Table starts
%C A200329 .1.1.1.1..1..1..1..1...1...1...1...1....1....1....1....1....1....1....1....1
%C A200329 .2.3.4.5..6..7..8..9..10..11..12..13...14...15...16...17...18...19...20...21
%C A200329 .2.3.4.5..8.11.14.17..20..25..30..35...40...45...52...59...66...73...80...89
%C A200329 .2.3.4.5..6.13.20.27..36..49..62..81..100..119..146..177..208..247..286..329
%C A200329 .2.3.4.5..6.13.28.43..58..87.116.159..206..271..350..453..566..689..828.1007
%C A200329 .2.3.4.5..6..9.26.49..76.117.174.257..348..505..704..965.1290.1655.2080
%C A200329 .2.3.4.5..6..7.18.43..78.131.224.363..526..833.1236.1803.2496.3415
%C A200329 .2.3.4.5..6..7.16.49.100.193.322.517..764.1281.2048.3195.4686
%C A200329 .2.3.4.5..6.17.30.61.106.173.328.683.1204.2075.3450.5525
%C A200329 .2.3.4.9.16.25.34.61.108.193.370.881.1728.3285.5892
%H A200329 R. H. Hardin, <a href="/A200329/b200329.txt">Table of n, a(n) for n = 1..291</a>
%e A200329 Some solutions for n=9 k=9
%e A200329 ..9....0....5....5....3....3....0....9....8....5....2....7....5....7....0....5
%e A200329 ..9....8....5....5....3....4....0....0....9....2....9....7....5....6....5....8
%e A200329 ..9....6....5....8....3....3....0....6....5....5....5....7....2....7....6....2
%e A200329 ..9....2....5....5....3....5....0....5....2....9....2....7....5....5....4....1
%e A200329 ..9....0....5....1....3....7....1....1....1....9....2....6....9....3....3....5
%e A200329 ..9....1....5....1....3....7....3....0....1....5....3....4....9....3....4....9
%e A200329 ..9....4....5....5....3....6....5....2....1....1....3....2....5....4....5....9
%e A200329 ..9....7....5....9....3....6....6....3....1....1....2....1....1....4....4....5
%e A200329 ..9....8....5....9....3....7....6....1....2....5....2....1....1....3....2....1
%e A200329 ..9....6....5....5....3....6....6....0....5....8....5....1....5....4....3....2
%e A200329 ..9....2....5....2....3....1....6....6....9....5....9....1....8....9....8....8
%e A200329 ..9....0....5....5....3....3....0....9....8....5....2....7....5....7....0....5
%Y A200329 Row 3 is A008812
%K A200329 nonn,tabl
%O A200329 1,3
%A A200329 _R. H. Hardin_ Nov 16 2011