A075643 Group the natural numbers so that the n-th group contains n numbers one each of a multiple of numbers from 1 to n so that the group sum is a multiple of (n+1): (2), (1, 8), (3, 4, 9), (5, 6, 12, 32), (7, 10, 15, 16, 30), (11, 14, 18, 20, 25, 24), ... Sequence gives initial terms of groups.

2, 1, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277

Offset: 1

Author

Amarnath Murthy, Sep 30 2002

Keywords

• nonn

Comments

Is this the same sequence as A076074? - Andrew S. Plewe, Apr 30 2007

Crossrefs

Cf. A075644, A075645, A075646, A075647 (gives the list of groups).

Extensions

More terms from David Wasserman, Jan 22 2005