A212782 T(n,k)=Half the number of 0..k arrays of length n+2 with second differences nonzero

3, 11, 5, 28, 27, 8, 56, 99, 66, 13, 99, 252, 350, 162, 21, 159, 546, 1134, 1238, 397, 34, 240, 1034, 3010, 5104, 4379, 973, 55, 344, 1803, 6724, 16594, 22972, 15490, 2385, 89, 475, 2925, 13544, 43727, 91482, 103391, 54793, 5846, 144, 635, 4517, 24870, 101743

Offset

1,1

Comments

Table starts

...3....11......28.......56........99........159.........240.........344

...5....27......99......252.......546.......1034........1803........2925

...8....66.....350.....1134......3010.......6724.......13544.......24870

..13...162....1238.....5104.....16594......43727......101743......211461

..21...397....4379....22972.....91482.....284360......764297.....1797975

..34...973...15490...103391....504337....1849215.....5741427....15287517

..55..2385...54793...465336...2780392...12025596....43129809...129984123

..89..5846..193821..2094360..15328203...78203437...323992699..1105207105

.144.14329..685609..9426184..84503842..508563345..2433844978..9397168738

.233.35122.2425226.42424863.465866699.3307229006.18283132290.79900662826

Links

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

Example

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

Crossrefs

Column 1 is A000045(n+3)

Row 1 is A182260(n+1)

Sequence in context: A156320 A134969 A139686 * A130537 A212402 A114234

Adjacent sequences: A212779 A212780 A212781 * A212783 A212784 A212785

Keyword

nonn,tabl

Author

R. H. Hardin May 27 2012

Status

approved