Search: id:A050232
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%I A050232
%S A050232 0,0,0,1,3,8,20,48,111,251,558,1224,2656,5713,12199,25888,54648,114832,
%T A050232 240335,501239,1042126,2160676,4468664,9221281,18989899,39034824,
%U A050232 80103276,164126496,335808927,686182387,1400438814
%N A050232 a(n) is the number of n-tosses having a run of 4 or more heads for a 
               fair coin (i.e. probability is a(n)/2^n).
%D A050232 Feller, W. An Introduction to Probability Theory and Its Application, 
               Vol. 1, 2nd ed. New York: Wiley, p. 300, 1968.
%H A050232 T. D. Noe, <a href="b050232.txt">Table of n, a(n) for n=1..300</a>
%H A050232 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Run.html">Link to a section of The World of Mathematics.</a>
%F A050232 a(n) = 2^n - Tetranacci(n+4), cf. A000078. - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Feb 23 2003
%F A050232 G.f.:x^4/((1-2x)(1-x-x^2-x^3-x^4)) [From Geoffrey Critzer (critzer.geoffrey(AT)usd443.org), 
               Jan 29 2009]
%Y A050232 Cf. A008466, A050231, A050233
%Y A050232 Sequence in context: A050231 A136305 A026712 this_sequence A050233 A143662 
               A049610
%Y A050232 Adjacent sequences: A050229 A050230 A050231 this_sequence A050233 A050234 
               A050235
%K A050232 nonn,nice
%O A050232 1,5
%A A050232 Eric Weisstein (eric(AT)weisstein.com)

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