login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A080074
a(n) = round(126*phi^n).
1
0, 1, 1, 2, 3, 4, 7, 11, 18, 30, 48, 78, 126, 204, 330, 534, 864, 1397, 2261, 3658, 5919, 9578, 15497, 25075, 40572, 65646, 106218, 171864, 278082, 449946, 728028, 1177974, 1906002, 3083976, 4989978, 8073954, 13063932, 21137886, 34201818, 55339704, 89541522, 144881226
OFFSET
-12,4
COMMENTS
Related to Le Corbusier's "modular" (or "modulor") numbers, see A080104.
LINKS
EXAMPLE
G.f. = x^-11 + x^-10 + 2*x^-9 + 3*x^-8 + 4*x^-7 + 7*x^-6 + 11*x^-5 + ...
a(0) = 126.
MAPLE
A080074:=n->round(126*((1+sqrt(5))/2)^n): seq(A080074(n), n=-12..50); # Wesley Ivan Hurt, Jan 19 2017
MATHEMATICA
Table[Round[126 GoldenRatio^n], {n, -12, 29}] (* Michael De Vlieger, Jan 20 2017 *)
PROG
(Magma) [Round(126*((1+Sqrt(5))/2)^n): n in [-12..50]]; // Vincenzo Librandi, Jan 21 2017
CROSSREFS
Cf. A080104.
Sequence in context: A169985 A254729 A293544 * A317767 A018064 A226161
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, Mar 15 2003
STATUS
approved