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A011760 Elevator buttons in U.S.A.: Positive integers except 13. 4

%I #37 Jun 17 2017 03:04:34

%S 1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,

%T 28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,

%U 51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69

%N Elevator buttons in U.S.A.: Positive integers except 13.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/Triskaidekaphobia.html">Triskaidekaphobia</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Triskaidekaphobia">Triskaidekaphobia</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (2,-1).

%F a(n) = n + sign( floor( n/13 ) ). - _Wesley Ivan Hurt_, Jan 12 2013

%F G.f.: -x*(x^13-x^12-1) / (x-1)^2. - _Colin Barker_, May 04 2014

%t Drop[Range[70],{13}] (* _Harvey P. Dale_, Dec 11 2012 *)

%o (PARI) a(n)=if(n<13,n,n+1) \\ _Charles R Greathouse IV_, Sep 02 2011

%Y Cf. A085265.

%Y Cf. A076805.

%K nonn,nice,easy

%O 1,2

%A Juan-Carlos Lerman (jclerm(AT)aztec.asu.edu), Dec 11 1996

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Last modified March 29 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)