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A094497
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.
3
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, 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, 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
OFFSET
0,112
COMMENTS
a(0) = 1 by convention.
EXAMPLE
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.
MATHEMATICA
Flatten[Table[Table[Binomial[n, j]-Mod[Binomial[n, j], n^3], {j, 0, n}], {n, 1, 14}], 1]
CROSSREFS
KEYWORD
easy,nonn,tabl
AUTHOR
Labos Elemer, Jun 02 2004
STATUS
approved