

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
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OFFSET

0,5


COMMENTS

This sequence is based on the original height of 175 cm of the Modularman. 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 socalled 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 socalled 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. 229232.


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 decimal expansion given in A001622.


CROSSREFS

Cf. A080105, A080106, A228779.
Sequence in context: A327474 A028488 A280341 * A080432 A094985 A128588
Adjacent sequences: A227569 A227570 A227571 * A227573 A227574 A227575


KEYWORD

nonn,easy


AUTHOR

Wolfdieter Lang, Sep 04 2013


STATUS

approved



