A004943 - OEIS

%I #19 Oct 28 2023 09:32:56

%S 0,47,94,141,188,235,282,329,376,423,470,517,564,611,658,705,752,799,

%T 846,893,940,987,1034,1081,1127,1174,1221,1268,1315,1362,1409,1456,

%U 1503,1550,1597,1644,1691,1738,1785

%N a(n) = round(n*phi^8), where phi is the golden ratio, A001622.

%C a(n+48) - a(n+47) - a(n+1) + a(n) = 0 for 0 <= n <= 1055, but not for n = 1056. - _Robert Israel_, Oct 18 2023

%H Robert Israel, <a href="/A004943/b004943.txt">Table of n, a(n) for n = 0..10000</a>

%p p8:= simplify(((1+sqrt(5))/2)^8);

%p seq(round(n*p8),n=0..100); # _Robert Israel_, Oct 18 2023

%t Round[GoldenRatio^8 Range[0,40]] (* _Harvey P. Dale_, Sep 18 2023 *)

%Y Cf. A001622, A004939, A004940, A004941, A004942.

%K nonn

%O 0,2

%A _N. J. A. Sloane_