A127510 Triangle T(n,k) = k*mobius(n).

1, -1, -2, -1, -2, -3, 0, 0, 0, 0, -1, -2, -3, -4, -5, 1, 2, 3, 4, 5, 6, -1, -2, -3, -4, -5, -6, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Offset

1,3

Links

Table of n, a(n) for n=1..55.

Formula

T(n,k) = A008683(n)*k.

Example

First few rows of the triangle are:
1;
-1, -2;
-1, -2, -3;
0, 0, 0, 0;
-1, -2, -3, -4, -5;
1, 2, 3, 4, 5, 6;
...

Maple

A127510 := proc(n, k)
    numtheory[mobius](n)*k ;
end proc: # R. J. Mathar, Sep 08 2013

Mathematica

T[n_, k_]:= k*MoebiusMu[n]; Table[T[n, k], {n, 10}, {k, n}]//Flatten (* James C. McMahon, Jan 01 2025 *)

Crossrefs

Cf. A008683, A000217, A125287 (row sums).

Sequence in context: A092186 A138262 A276990 * A328362 A158810 A129391

Adjacent sequences: A127507 A127508 A127509 * A127511 A127512 A127513

Keyword

tabl,easy,sign

Author

Gary W. Adamson, Jan 17 2007

Status

approved