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Search: id:A050232
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| A050232 |
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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). |
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+0
6
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| 0, 0, 0, 1, 3, 8, 20, 48, 111, 251, 558, 1224, 2656, 5713, 12199, 25888, 54648, 114832, 240335, 501239, 1042126, 2160676, 4468664, 9221281, 18989899, 39034824, 80103276, 164126496, 335808927, 686182387, 1400438814
(list; graph; listen)
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OFFSET
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1,5
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REFERENCES
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Feller, W. An Introduction to Probability Theory and Its Application, Vol. 1, 2nd ed. New York: Wiley, p. 300, 1968.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..300
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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a(n) = 2^n - Tetranacci(n+4), cf. A000078. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 23 2003
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]
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CROSSREFS
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Cf. A008466, A050231, A050233
Adjacent sequences: A050229 A050230 A050231 this_sequence A050233 A050234 A050235
Sequence in context: A050231 A136305 A026712 this_sequence A050233 A143662 A049610
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KEYWORD
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nonn,nice
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AUTHOR
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Eric Weisstein (eric(AT)weisstein.com)
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