A386525 a(n) is the least k such that at least n terms of A063655 starting from index k are strictly decreasing.

1, 5, 13, 37, 122, 3004, 26283, 53411, 109453, 4117156, 16831081

Offset: 1

Author

Richard S. Chang, Jul 24 2025

Keywords

• nonn
• more

Comments

Lai and Reinfeld conjecture that the sequence is infinite.

Examples

			The first 40 values of A063655 are: 2, 3, 4, 4, 6, 5, 8, 6, 6, 7, 12, 7, 14, 9, 8, 8, 18, 9, 20, 9, 10, 13, 24, 10, 10, 15, 12, 11, 30, 11, 32, 12, 14, 19, 12, 12, 38, 21, 16, and 13. Because the 37th term is the first of 4 strictly decreasing values and there is not previous occurrence of four decreasing values, a(3) = 37.
		

Links

• H. Lai and M. Reinfeld, An Introduction to LR Numbers, Girls' Angle Bulletin, Vol. 18, No. 5 (2025), 11-15.

Crossrefs

Cf. A063655.

Extensions

a(11) from Sean A. Irvine, Aug 10 2025