A100812 {a(n)} is monotone increasing, with a(1)=1, a(2)=3 and, for n>2, a(n) is the smallest integer such that a(n) mod a(j) is never a(i) for any pair i,j with 1<=i<j<n.

1, 3, 5, 9, 15, 17, 27, 29, 45, 47, 87, 89, 135, 227, 267, 269, 540, 674, 947, 1217, 1442, 1485, 2522, 2564, 2792, 2832, 2834, 2972, 3102, 3240, 3242, 3645, 3737, 4142, 4182, 4320, 4992, 5400, 5807, 6077, 7017, 7967, 8370, 8772, 8774, 9677, 9717, 9990, 9992

Offset

1,2

Links

Table of n, a(n) for n=1..49.

Example

a(8)<>28, since 28=1 mod 27. But the residues of 29 modulo 3,5,9,15,17 and 27 are 2,4,2,14,12 and 2, none of which are earlier terms of the sequence, so a(8)=29.

Crossrefs

Sequence in context: A339345 A111249 A190804 * A274432 A190939 A018634

Adjacent sequences: A100809 A100810 A100811 * A100813 A100814 A100815

Keyword

nonn

Author

John W. Layman, Jan 05 2005

Status

approved