A079548 Array T(m,n) = n*phi(m) - phi(mn) (m,n >= 1), read by antidiagonals.

0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 4, 2, 4, 1, 4, 0, 0, 4, 0, 2, 2, 1, 0, 6, 0, 8, 2, 6, 1, 4, 0, 0, 6, 0, 0, 4, 2, 0, 3, 0, 6, 4, 12, 2, 16, 2, 8, 3, 6, 0, 0, 0, 0, 6, 0, 4, 0, 0, 2, 1, 0, 10, 4, 12, 4, 24, 2, 16, 6, 12, 1, 8, 0, 0, 10, 0, 6, 8, 0, 0, 12, 4, 2, 4, 1, 0, 12, 0, 20, 0, 18, 4, 24

Offset

1,8

Comments

It follows from the definition that n*phi(m) - phi(mn) >= 0.

References

D. S. Mitrinovic et al., Handbook of Number Theory, Kluwer, p. 9.

Links

Table of n, a(n) for n=1..99.

Crossrefs

Cf. A000010, A076953, A079549, A079550.

Sequence in context: A089538 A152439 A070965 * A175620 A319812 A079071

Adjacent sequences: A079545 A079546 A079547 * A079549 A079550 A079551

Keyword

nonn,tabl

Author

N. J. A. Sloane, Jan 24 2003

Status

approved