A200454 T(n,k)=Number of -k..k arrays x(0..n+1) of n+2 elements with zero sum and nonzero first and second differences.

4, 10, 4, 26, 44, 6, 44, 142, 144, 10, 72, 342, 728, 486, 14, 102, 678, 2334, 3788, 1582, 22, 142, 1148, 5720, 16380, 19802, 5478, 34, 184, 1832, 12002, 50852, 115140, 103726, 18692, 52, 236, 2744, 22276, 127988, 451708, 820650, 548204, 64782, 80, 290, 3874

Offset: 1

Author

R. H. Hardin Nov 18 2011

Keywords

• nonn
• tabl

Comments

Table starts

...4.....10.......26.........44..........72..........102...........142

...4.....44......142........342.........678.........1148..........1832

...6....144......728.......2334........5720........12002.........22276

..10....486.....3788......16380.......50852.......127988........278906

..14...1582....19802.....115140......451708......1375006.......3513884

..22...5478...103726.....820650.....4062384.....14923636......44716536

..34..18692...548204....5876818....36725772....163058296.....572857272

..52..64782..2916664...42324384...334032710...1791564880....7380022092

..80.223272.15576706..306098316..3050654456..19771609900...95496980144

.126.776430.83481240.2222013090.27965763262.219008350922.1240352594210

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..715

Crossrefs

Column 1 is twice A077419(n+2)