A085913 Group the natural numbers such that the product of the terms of the n-th group is divisible by n!. (1),(2),(3,4),(5,6,7,8),(9,10,11,12),(13,14,15,16,17,18),(19,20,21,22,23,24),... Sequence contains the first term of every group.

1, 2, 3, 5, 9, 13, 19, 25, 33, 41, 51, 61, 73, 85, 99, 113, 129, 145, 163, 181, 201, 221, 243, 265, 289, 313, 339, 365, 393, 421, 451, 481, 513, 545, 579, 613, 649, 685, 723, 761, 801, 841, 883, 925, 969, 1013, 1059, 1105, 1153, 1201, 1251, 1301, 1353, 1405

Offset: 1

Author

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jul 10 2003

Keywords

• nonn

Comments

Differs from A099392 at n = 61.

Crossrefs

Cf. A085912, A085914, A085915.

Programs

Mathematica

i = 1; Table[p = i; s = i; While[!Divisible[p *= i++, n!]]; s, {n, 1, 54}] (* Jon Maiga, Nov 28 2018 *)

Extensions

More terms from Ray Chandler, Sep 15 2003