OFFSET
0,8
COMMENTS
Row n contains n+1 terms. Row sums yield A064450.
EXAMPLE
T(6,3)=8 because the positive integers relatively prime to binomial(6,3)=20 and not exceeding 20 are 1,3,7,9,11,13,17 and 19.
Triangle begins:
1;
1, 1;
1, 1, 1;
1, 2, 2, 1;
1, 2, 2, 2, 1;
1, 4, 4, 4, 4, 1;
MAPLE
with(numtheory): T:=(n, k)->phi(binomial(n, k)): for n from 0 to 12 do seq(T(n, k), k=0..n) od; # yields sequence in triangular form
MATHEMATICA
Flatten[Table[EulerPhi[Binomial[n, k]], {n, 0, 12}, {k, 0, n}]] (* Vincenzo Librandi, May 01 2019 *)
PROG
(Magma) /* As triangle */ [[EulerPhi(Binomial(n, k)): k in [0..n]]: n in [0.. 10]]; // Vincenzo Librandi, May 01 2019
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Emeric Deutsch, Feb 06 2005
STATUS
approved