login
n mod 19 + 1 ("Golden Number").
1

%I #7 Aug 27 2015 10:12:28

%S 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1,2,3,4,5,6,7,8,9,10,

%T 11,12,13,14,15,16,17,18,19,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,

%U 18,19,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,1,2,3,4,5,6,7,8

%N n mod 19 + 1 ("Golden Number").

%H Eric Weisstein's World of Astronomy, <a href="http://scienceworld.wolfram.com/astronomy/GoldenNumber.html">Golden Number</a>

%H <a href="/index/Rec#order_19">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F a(n) = n mod 19 + 1

%e a(0) = 0 mod 19 + 1 = 1

%t LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1},{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19},84] (* _Ray Chandler_, Aug 27 2015 *)

%Y Cf. A064265, A064266, A064263, A064264, A064267.

%K easy,nonn

%O 0,2

%A _Jeremy Gardiner_, Sep 08 2002