A089204 Triangle read by rows: T(n,k) = numerator of P(n, k) = 1 - n!/(n^k*(n-k)!).

1, 1, 7, 1, 5, 29, 1, 13, 101, 601, 1, 4, 13, 49, 319, 1, 19, 223, 2041, 16087, 116929, 1, 11, 151, 407, 3781, 16069, 130757, 1, 25, 131, 1627, 17443, 56809, 526961, 4778489, 1, 7, 62, 436, 1061, 2936, 30683, 155683, 1561933

Offset

1,3

Comments

Triangle of numbers P(n,k) begins:

.............................1/2

......................1/3...........7/9

...............1/4...........5/8............29/32

.........1/5.........13/25.........101/125..........601/625

...1/6.........4/9..........13/18...........49/54...............319/324

Links

Table of n, a(n) for n=1..45.

Example

a(8) = 13 because 13 is numerator of 13/25 = P(3,5) = T(
a(15) = 319 because 319 is numerator of 319/324 = P(6,6)

Crossrefs

Cf. A089206, A088141.

Sequence in context: A047875 A346610 A064467 * A107786 A246949 A154932

Adjacent sequences: A089201 A089202 A089203 * A089205 A089206 A089207

Keyword

frac,nonn,tabl

Author

Artemario Tadeu Medeiros da Silva (artemario(AT)uol.com.br), Dec 09 2003

Status

approved