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Search: id:A151794
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| A151794 |
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a(1)=2, a(2)=4, a(3)=6; a(n+3) = a(n+2)+ 2 a(n), n>=1. |
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1
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OFFSET
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1,1
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COMMENT
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Consider the following coin tossing experiment. Let n >= 1 be a predetermined integer. We toss an unbiased coin sequentially. For each outcome, we score two points for a head (H) and one point for a tail (T). The coin is tossed until the total score reaches n or jumps from n-1 to n+1. The results of the tosses are written in a linear array. Then the probability of non-occurrence of double heads (HH) is given by p(n) = a(n) / 2^n , n>=1.
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REFERENCES
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Bhanu K. S, Deshpande M. N. & Cholkar C. P. (2006): Coin tossing -Some Surprising Results , International Journal of Mathematical Education In Science and Technology, Vol.37, No.1, pp.115-119.
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CROSSREFS
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Sequence in context: A032353 A062112 A084685 this_sequence A058059 A053686 A080198
Adjacent sequences: A151791 A151792 A151793 this_sequence A151795 A151796 A151797
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KEYWORD
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nonn,easy,more
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AUTHOR
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K. S. Bhanu (bhanu_105(AT)yahoo.com), Jun 21 2009
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