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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 (list; table; graph; refs; listen; history; text; internal format)
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

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

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

Adjacent sequences:  A200451 A200452 A200453 * A200455 A200456 A200457

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 18 2011

STATUS

approved

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Last modified October 27 10:47 EDT 2021. Contains 348274 sequences. (Running on oeis4.)