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

Author

R. H. Hardin May 27 2012

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A000045(n+3)

Row 1 is A182260(n+1)