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A050508 Golden rectangle numbers: n * A007067(n). 4

%I #15 Aug 30 2022 02:08:04

%S 0,2,6,15,24,40,60,77,104,135,160,198,228,273,322,360,416,476,522,589,

%T 640,714,792,851,936,1000,1092,1188,1260,1363,1470,1550,1664,1749,

%U 1870,1995,2088,2220,2318,2457,2600,2706,2856,3010,3124,3285,3404,3572,3744

%N Golden rectangle numbers: n * A007067(n).

%H Amiram Eldar, <a href="/A050508/b050508.txt">Table of n, a(n) for n = 0..10000</a>

%p A050508:=n->n*round(n*(1+sqrt(5))/2); seq(A050508(n), n=0..100); # _Wesley Ivan Hurt_, Nov 27 2013

%t a[n_] := n*Round[n*GoldenRatio]; Table[a[n], {n, 0, 48}] (* _Jean-François Alcover_, Jun 27 2012 *)

%o (Python)

%o from math import isqrt

%o def A050508(n): return n*((isqrt(5*n**2<<2)>>1)+n+1>>1) # _Chai Wah Wu_, Aug 29 2022

%Y Cf. A007067.

%K easy,nice,nonn

%O 0,2

%A Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Dec 28 1999

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Last modified March 28 15:28 EDT 2024. Contains 371254 sequences. (Running on oeis4.)