login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A080023 log_phi(n) is closer to an integer than is log_phi(m) for any m with 2<=m<n, where phi=(1+sqrt(5))/2 is the golden ratio. 7
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

REFERENCES

Suggested by Neil Fernandez, Jan 19 2003

LINKS

Table of n, a(n) for n=1..37.

EXAMPLE

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

PROG

(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

CROSSREFS

Cf. A000032, A080021, A080022.

Sequence in context: A222331 A222332 A222333 * A169985 A254729 A293544

Adjacent sequences:  A080020 A080021 A080022 * A080024 A080025 A080026

KEYWORD

nonn,easy

AUTHOR

Dean Hickerson, Jan 20 2003

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 28 13:47 EST 2021. Contains 349413 sequences. (Running on oeis4.)