Search: id:A050233
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%I A050233
%S A050233 0,0,0,0,1,3,8,20,48,112,255,571,1262,2760,5984,12880,27553,58631,
%T A050233 124192,262008,550800,1154256,2412031,5027575,10455246,21697060,
%U A050233 44940472,92920992,191818561,395386763,813872712,1673157228
%N A050233 a(n) is the number of n-tosses having a run of 5 or more heads for a 
               fair coin (i.e. probability is a(n)/2^n).
%D A050233 Feller, W. An Introduction to Probability Theory and Its Application, 
               Vol. 1, 2nd ed. New York: Wiley, p. 300, 1968.
%H A050233 T. D. Noe, <a href="b050233.txt">Table of n, a(n) for n=1..300</a>
%H A050233 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 A050233 a(n) = 2^(n+1) - pentanacci(n+6), cf. A001591. - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Feb 23 2003
%F A050233 G.f.:x^5/((1-2x)(1-x-x^2-x^3-x^4-x^5)) [From Geoffrey Critzer (critzer.geoffrey(AT)usd443.org), 
               Jan 29 2009]
%Y A050233 Cf. A008466, A050231, A050232
%Y A050233 Sequence in context: A136305 A026712 A050232 this_sequence A143662 A049610 
               A001792
%Y A050233 Adjacent sequences: A050230 A050231 A050232 this_sequence A050234 A050235 
               A050236
%K A050233 nonn,nice
%O A050233 1,6
%A A050233 Eric Weisstein (eric(AT)weisstein.com)

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