A080044 Numerators of triangular array: T(n,1)=T(n,n)=1/n and T(n,k)=T(n-1,k-1)+T(n-1,k), 1<k<n.

1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 19, 8, 19, 1, 1, 107, 17, 17, 107, 1, 1, 39, 181, 17, 181, 39, 1, 1, 293, 479, 218, 218, 479, 293, 1, 1, 621, 1058, 1351, 436, 1351, 1058, 621, 1, 1, 5869, 10327, 4563, 619, 619, 4563, 10327, 5869, 1, 1, 6121, 3685, 7541, 17677, 619, 17677

Offset

1,8

Links

Table of n, a(n) for n=1..62.

Example

Triangle begins:.................. Numerators:
.............1/1.........................1
..........1/2...1/2....................1...1
.......1/3...1/1...1/3...............1...1...1
....1/4...4/3...4/3...1/4..........1...4...4...1
.1/5..19/12..8/3..19/12..1/5.....1..19...8..19...1.

Crossrefs

Cf. A007318, A080045.

Sequence in context: A221837 A189150 A155194 * A128433 A089746 A225330

Adjacent sequences: A080041 A080042 A080043 * A080045 A080046 A080047

Keyword

nonn,tabl,frac

Author

Reinhard Zumkeller, Jan 21 2003

Status

approved