|
|
A094495
|
|
Table of binomial coefficients mod m^2, read by rows: T(m, n) = binomial(m, n) mod m^2.
|
|
3
|
|
|
0, 0, 0, 1, 2, 1, 1, 3, 3, 1, 1, 4, 6, 4, 1, 1, 5, 10, 10, 5, 1, 1, 6, 15, 20, 15, 6, 1, 1, 7, 21, 35, 35, 21, 7, 1, 1, 8, 28, 56, 6, 56, 28, 8, 1, 1, 9, 36, 3, 45, 45, 3, 36, 9, 1, 1, 10, 45, 20, 10, 52, 10, 20, 45, 10, 1, 1, 11, 55, 44, 88, 99, 99, 88, 44, 55, 11, 1, 1, 12, 66, 76, 63, 72, 60, 72, 63, 76, 66, 12, 1
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,5
|
|
COMMENTS
|
a(0) = 0 by convention.
|
|
LINKS
|
|
|
EXAMPLE
|
First deviation from A007318 is at a(40) = T(8,4) because binomial(8,4)=70 and 70 mod 64 = 6.
|
|
MATHEMATICA
|
Flatten[Table[Table[Mod[Binomial[n, j], n^2], {j, 0, n}], {n, 1, 20}], 1]
|
|
PROG
|
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|