A228779 A sequence related to Le Corbusier's Modulor: round(phi^(-13 + n)*183).

0, 1, 1, 1, 2, 4, 6, 10, 17, 27, 43, 70, 113, 183, 296, 479, 775, 1254, 2030, 3284, 5313, 8597, 13910, 22508, 36418, 58925, 95343, 154269, 249612, 403881, 653493, 1057374, 1710867, 2768241, 4479108, 7247349, 11726457, 18973806, 30700263

Offset

0,5

Comments

This sequence is based on the height of 183 cm of the Modular-man. For the sequence based on the earlier chosen height of 175 cm see A227572.

Note that Le Corbusier uses other numbers in the figure found on p. 84 of the given reference and the figure on p. 51. The height of the navel is at 113 cm. This sequence is a variant (using phi) of Le Corbusier's so-called red (Fibonacci) series, see the reference, p. 84.

Le Corbusier used on p. 84 of the Modulor reference the precise navel height 113 cm, and the so-called red series would then be A080105. However, the numbers and their rounding on p. 84 are slightly different, e.g., 774 instead of 775, and 5310 instead of 5309. - 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

Robert Israel, Table of n, a(n) for n = 0..4782

Wikipedia, Modulor.

Formula

a(n) = round(phi^(-13 + n)*183) with the golden section phi:=(1 + sqrt(5))/2, with decimal expansion given in A001622.

Maple

phi:= (1+sqrt(5))/2:
f:= n -> round(phi^(n-13)*183):
map(f, [$0..100]); # Robert Israel, Oct 27 2019

Crossrefs

Cf. A080105, A080106, A227572.

Sequence in context: A339312 A091611 A107742 * A158510 A004695 A014216

Adjacent sequences: A228776 A228777 A228778 * A228780 A228781 A228782

Keyword

nonn,easy

Author

Wolfdieter Lang, Sep 04 2013

Status

approved