A201088 T(n,k)=Number of -k..k arrays of n elements with first and second differences also in -k..k

3, 5, 7, 7, 19, 13, 9, 37, 57, 25, 11, 61, 153, 175, 47, 13, 91, 323, 651, 537, 89, 15, 127, 587, 1759, 2771, 1653, 169, 17, 169, 967, 3899, 9593, 11817, 5089, 321, 19, 217, 1483, 7581, 25935, 52401, 50391, 15663, 609, 21, 271, 2157, 13405, 59533, 172767, 286207

Offset

1,1

Comments

Table starts

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

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

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

...25....175.....651.....1759......3899.......7581......13405.......22085

...47....537....2771.....9593.....25935......59533.....121371......226521

...89...1653...11817....52401....172767.....468159....1100401.....2326467

..169...5089...50391...286207...1150785....3681179....9975741....23891417

..321..15663..214867..1563111...7664735...28943479...90429601...245334347

..609..48207..916173..8536807..51049977..227567727..819732439..2519249143

.1155.148375.3906507.46623423.340013811.1789258703.7430807385.25869394013

Links

R. H. Hardin, Table of n, a(n) for n = 1..9999

Example

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

Crossrefs

Row 1 is A004273(n+1)

Row 2 is A003215

Row 3 is A007202

Sequence in context: A327096 A202664 A202124 * A201042 A142340 A185168

Adjacent sequences: A201085 A201086 A201087 * A201089 A201090 A201091

Keyword

nonn,tabl

Author

R. H. Hardin Nov 26 2011

Status

approved