%I #13 Oct 07 2017 21:53:55

%S 1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,

%T 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,

%U 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2744,2744,2744,0,0,0,0,0,0,0,0,0,0,0,0,3375,3375,3375,3375,0,0,0,0,0,0,0,0,0,0,0,4096,4096,8192,12288,8192,4096,4096

%N Triangular table A(n,j) = C(n,j) - C(n,j) mod n^3, difference of binomial coefficient and its residue mod n^3, read by rows.

%C a(0) = 1 by convention.

%H Antti Karttunen, <a href="/A094497/b094497.txt">Table of n, a(n) for n = 0..10439; the first 144 rows of triangle</a>

%H <a href="/index/Pas#Pascal">Index entries for triangles and arrays related to Pascal's triangle</a>

%e Out of a(1)=1 and a(2)=1, the first deviation from A007318 is at a(111) because C(14,6) = 3003, 3003 mod 2744 = 259, a(111) = 2744.

%t Flatten[Table[Table[Binomial[n, j]-Mod[Binomial[n, j], n^3], {j, 0, n}], {n, 1, 14}], 1]

%Y Cf. A007318, A053200, A094495, A094496.

%K easy,nonn,tabl

%O 0,112

%A _Labos Elemer_, Jun 02 2004