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

3, 5, 7, 7, 19, 13, 9, 37, 57, 19, 11, 61, 153, 127, 19, 13, 91, 323, 475, 213, 23, 15, 127, 587, 1279, 1101, 363, 23, 17, 169, 967, 2833, 3785, 2591, 613, 23, 19, 217, 1483, 5509, 10205, 11413, 6055, 1055, 23, 21, 271, 2157, 9739, 23425, 37505, 34171, 14199, 1815

Offset: 1

Author

R. H. Hardin Dec 22 2011

Keywords

• nonn
• tabl

Comments

Table starts

..3....5.....7......9......11.......13........15........17.........19

..7...19....37.....61......91......127.......169.......217........271

.13...57...153....323.....587......967......1483......2157.......3009

.19..127...475...1279....2833.....5509......9739.....16039......25003

.19..213..1101...3785...10205....23425.....47713.....89007.....154971

.23..363..2591..11413...37505...101567....238453....503849.....979919

.23..613..6055..34171..136999...438177...1186107...2839237....6169921

.23.1055.14199.102705..501903..1895197...5914721..16039207...38941497

.23.1815.33289.308785.1838983..8198571..29498237..90622033..245814423

.23.3159.78119.928115.6737379.35463355.147102833.511970795.1551547261

Examples

			Some solutions for n=5 k=7
.-2....5....2....0....4....6....7...-5...-7....6...-1....5...-1...-1...-2...-2
.-4....2....0...-6....1....5....3...-3...-6....3....2....7...-1...-3....0...-5
.-5....2...-5...-7...-3....3....0...-4....0...-3....6....5...-2...-7....3...-4
.-5....0...-7...-4...-3....3....0...-2....5...-5....6....3...-3...-6....5....0
..1...-2...-4....3....4....2....1....4....3...-1....0....4...-5....0....5....2
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..1389

Crossrefs

Row 2 is A003215

Row 3 is A007202

Row 4 is A202125