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A202664 T(n,k)=Number of -k..k arrays of n elements with first through fourth differences also in -k..k.

%I A202664 #7 Jul 22 2025 16:45:36
%S A202664 3,5,7,7,19,13,9,37,57,19,11,61,153,127,19,13,91,323,475,213,23,15,
%T A202664 127,587,1279,1101,363,23,17,169,967,2833,3785,2591,613,23,19,217,
%U A202664 1483,5509,10205,11413,6055,1055,23,21,271,2157,9739,23425,37505,34171,14199,1815
%N A202664 T(n,k)=Number of -k..k arrays of n elements with first through fourth differences also in -k..k.
%C A202664 Table starts
%C A202664 ..3....5.....7......9......11.......13........15........17.........19
%C A202664 ..7...19....37.....61......91......127.......169.......217........271
%C A202664 .13...57...153....323.....587......967......1483......2157.......3009
%C A202664 .19..127...475...1279....2833.....5509......9739.....16039......25003
%C A202664 .19..213..1101...3785...10205....23425.....47713.....89007.....154971
%C A202664 .23..363..2591..11413...37505...101567....238453....503849.....979919
%C A202664 .23..613..6055..34171..136999...438177...1186107...2839237....6169921
%C A202664 .23.1055.14199.102705..501903..1895197...5914721..16039207...38941497
%C A202664 .23.1815.33289.308785.1838983..8198571..29498237..90622033..245814423
%C A202664 .23.3159.78119.928115.6737379.35463355.147102833.511970795.1551547261
%H A202664 R. H. Hardin, <a href="/A202664/b202664.txt">Table of n, a(n) for n = 1..1389</a>
%e A202664 Some solutions for n=5 k=7
%e A202664 .-2....5....2....0....4....6....7...-5...-7....6...-1....5...-1...-1...-2...-2
%e A202664 .-4....2....0...-6....1....5....3...-3...-6....3....2....7...-1...-3....0...-5
%e A202664 .-5....2...-5...-7...-3....3....0...-4....0...-3....6....5...-2...-7....3...-4
%e A202664 .-5....0...-7...-4...-3....3....0...-2....5...-5....6....3...-3...-6....5....0
%e A202664 ..1...-2...-4....3....4....2....1....4....3...-1....0....4...-5....0....5....2
%Y A202664 Row 2 is A003215
%Y A202664 Row 3 is A007202
%Y A202664 Row 4 is A202125
%K A202664 nonn,tabl
%O A202664 1,1
%A A202664 _R. H. Hardin_ Dec 22 2011