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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
14
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
1,1
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
LINKS
EXAMPLE
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
CROSSREFS
Column 1 is twice A077419(n+2)
Sequence in context: A059136 A128505 A336988 * A303052 A003564 A347116
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 18 2011
STATUS
approved