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A050227 Triangle of number of n-tosses having a run of r or more heads for a fair coin with r=1 to n across and n=1, 2, ... down. +0
2
1, 3, 1, 7, 3, 1, 15, 8, 3, 1, 31, 19, 8, 3, 1, 63, 43, 20, 8, 3, 1, 127, 94, 47, 20, 8, 3, 1, 255, 201, 107, 48, 20, 8, 3, 1, 511, 423, 238, 111, 48, 20, 8, 3, 1, 1023, 880, 520, 251, 112, 48, 20, 8, 3, 1, 2047, 1815, 1121, 558, 255, 112, 48, 20, 8, 3, 1, 4095, 3719 (list; table; graph; listen)
OFFSET

1,2

REFERENCES

Feller, W. An Introduction to Probability Theory and Its Application, Vol. 1, 2nd ed. New York: Wiley, p. 300, 1968.

LINKS

T. D. Noe, Rows n=1..100 of triangle, flattened

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

EXAMPLE

1; 3,1; 7,3,1; 15,8,3,1; ...

CROSSREFS

Cf. A008466.

Cf. A050231, A050232, A050233

Sequence in context: A133115 A104797 A130330 this_sequence A135540 A161942 A053092

Adjacent sequences: A050224 A050225 A050226 this_sequence A050228 A050229 A050230

KEYWORD

nonn,nice,tabl

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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