A108575 Numbers k such that the continued fraction for sqrt(k) is multiplicative.

3, 7, 8, 13, 14, 15, 22, 23, 24, 32, 33, 34, 35, 44, 47, 48, 58, 59, 60, 62, 63, 74, 75, 78, 79, 80, 95, 96, 98, 99, 114, 119, 120, 135, 136, 138, 140, 141, 142, 143, 160, 162, 164, 167, 168, 185, 187, 189, 192, 194, 195, 215, 219, 220, 222, 223, 224, 248, 252, 254

Offset: 1

Author

David W. Wilson, Jun 10 2005

Keywords

• nonn

Comments

m^2 - m < a(n) < m^2 for some m.

Examples

			The continued fraction for sqrt(7) is c = (2, 1, 1, 1, 4, 1, 1, 1, 4, ...) = A010121. If we index starting at 0, so that c(0) = 2, c is multiplicative (the value at c(0) is immaterial). Hence 7 is in the sequence.
		

Crossrefs

Cf. A010121, A109054 (with squares included).