|
Search: id:A050233
|
|
|
| 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). |
|
+0
6
|
|
| 0, 0, 0, 0, 1, 3, 8, 20, 48, 112, 255, 571, 1262, 2760, 5984, 12880, 27553, 58631, 124192, 262008, 550800, 1154256, 2412031, 5027575, 10455246, 21697060, 44940472, 92920992, 191818561, 395386763, 813872712, 1673157228
(list; graph; listen)
|
|
|
OFFSET
|
1,6
|
|
|
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, Table of n, a(n) for n=1..300
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
|
|
FORMULA
|
a(n) = 2^(n+1) - pentanacci(n+6), cf. A001591. - Vladeta Jovovic (vladeta(AT)Eunet.yu), Feb 23 2003
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]
|
|
CROSSREFS
|
Cf. A008466, A050231, A050232
Adjacent sequences: A050230 A050231 A050232 this_sequence A050234 A050235 A050236
Sequence in context: A136305 A026712 A050232 this_sequence A143662 A049610 A001792
|
|
KEYWORD
|
nonn,nice
|
|
AUTHOR
|
Eric Weisstein (eric(AT)weisstein.com)
|
|
|
Search completed in 0.002 seconds
|
