login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A227572 A sequence related to Le Corbusier's Modulor: round(phi^(-13+n)*175). 1
0, 1, 1, 1, 2, 4, 6, 10, 16, 26, 41, 67, 108, 175, 283, 458, 741, 1199, 1941, 3140, 5081, 8221, 13302, 21524, 34826, 56349, 91175, 147525, 238700, 386225, 624925, 1011150, 1636075, 2647225, 4283300, 6930525, 11213825, 18144350, 29358175 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

This sequence is based on the original height of 175 cm of the Modular-man. For the sequence based on the later chosen height of 183 cm see A228779.

Note that Le Corbusier used other numbers in the figure found on p. 51 of the given reference. For example, he uses 7, 9, 25, 66 instead of 6, 10, 26, 67. The height of the navel is at 108 cm. This sequence is an alternative to Le Corbusier's so called red series.

Le Corbusier used (in the earlier version) the height of the navel as precisely 108 cm. Compare with the later version with navel height 113 cm, with numbers given on p. 84 of the Modulor reference. The height is then actually A = phi*108 cm (golden section phi), approximately 174.75 cm, as seen from the construction on p. 50 of the reference, and rounded to 175 cm. The so called red series would be round(phi^(-13 + n)*108) = 0, 1, 1, 1, 2, 4, 6, 10, 16, 25, 41, 67, 108, 175, 283, ..., n>=0. On p. 51 the number 66 should be replaced by 67, as given on p. 50. - Wolfdieter Lang, Sep 05 2013

REFERENCES

Le Corbusier, Der Modulor, DVA, 1978, p. 51.

H. Friebe and P. Albers, Was Sie schon immer ueber 6 wissen wollten, Hanser, 2011, pp. 229-232.

LINKS

Table of n, a(n) for n=0..38.

Wikipedia, Modulor.

FORMULA

a(n) = round(phi^(-13 + n)*175) with the golden section phi:=(1 + sqrt(5))/2, with decimals given in A001622.

CROSSREFS

Cf. A080105, A080106, A228779.

Sequence in context: A017985 A028488 A280341 * A080432 A094985 A128588

Adjacent sequences:  A227569 A227570 A227571 * A227573 A227574 A227575

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Sep 04 2013

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified September 20 12:31 EDT 2017. Contains 292271 sequences.