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Half the number of 0..n arrays of length 9 with second differences nonzero.
1

%I #10 Jun 09 2023 22:20:44

%S 55,2385,54793,465336,2780392,12025596,43129809,129984123,351172313,

%T 852813984,1922215028,4035429570,8030912421,15179187087,27570308959,

%U 48164526258,81559118508,133992393064,214705512971,335752649443

%N Half the number of 0..n arrays of length 9 with second differences nonzero.

%C Row 7 of A212782.

%H R. H. Hardin, <a href="/A212788/b212788.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=5

%e ..0....0....0....0....3....0....3....3....0....0....3....0....0....0....0....0

%e ..0....3....3....3....0....3....0....0....3....0....0....3....0....0....0....3

%e ..3....3....0....3....0....0....0....3....3....3....3....0....3....3....3....0

%e ..4....1....2....0....3....1....3....3....1....2....3....4....2....2....3....2

%e ..1....4....1....4....3....5....3....4....5....4....1....0....0....2....0....0

%e ..4....0....4....2....1....0....2....3....2....5....2....4....0....0....4....0

%e ..0....3....5....3....3....2....4....4....2....5....4....5....1....3....4....2

%e ..4....2....2....5....0....1....1....2....3....0....4....5....0....5....1....3

%e ..2....2....1....3....0....5....0....2....0....0....5....2....5....1....0....1

%Y Cf. A212782.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 27 2012