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A050227
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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.
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2
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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; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| 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
| 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.
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EXAMPLE
| 1; 3,1; 7,3,1; 15,8,3,1; ...
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CROSSREFS
| Cf. A008466.
Cf. A050231, A050232, A050233
Sequence in context: A133115 A104797 A130330 * A135540 A161942 A053092
Adjacent sequences: A050224 A050225 A050226 * A050228 A050229 A050230
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KEYWORD
| nonn,nice,tabl
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AUTHOR
| Eric Weisstein (eric(AT)weisstein.com)
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