A080023 log_phi(n) is closer to an integer than is log_phi(m) for any m with 2<=m

2, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843, 1364, 2207, 3571, 5778, 9349, 15127, 24476, 39603, 64079, 103682, 167761, 271443, 439204, 710647, 1149851, 1860498, 3010349, 4870847, 7881196, 12752043, 20633239, 33385282, 54018521

Offset: 1

Author

Dean Hickerson, Jan 20 2003

Keywords

• nonn
• easy

Comments

This is the sequence of Lucas numbers (A000032) without the term 1.

Examples

			log_phi(2) = 1+0.440..., log_phi(3) = 2+0.283..., log_phi(4) = 3-0.119..., log_phi(7) = 4+0.0437...
		

References

• Suggested by Neil Fernandez, Jan 19 2003

Crossrefs

Cf. A000032, A080021, A080022.

Programs

PARI

lista(nn) = {flmin = 1; phi = (1 + sqrt(5))/2; for (i = 2, nn, li = log(i)/log(phi); fli = abs(round(li) - li); if (fli < flmin, print1(i, ", "); flmin = fli;););} \\ Michel Marcus, Aug 29 2013