|
| |
|
|
A093159
|
|
Reduced denominators of the raw moments of the distribution of areas for triangles picked at random in a unit square.
|
|
1
|
|
|
|
1, 144, 96, 72000, 2400, 3512320, 27095040, 870912000, 24192000, 103038566400, 1873428480, 12223042191360, 35258775552000, 99189522432000, 1889324236800, 25062074933575680, 61426654248960, 1101504369917952000
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
LINKS
|
Table of n, a(n) for n=1..18.
Eric Weisstein's World of Mathematics, Square Triangle Picking
|
|
|
FORMULA
|
(3*2^(3 - n)*(1 + (2 + n)*HarmonicNumber[1 + n]))/((1 + n)*(2 + n)^3*(3 + n)^2)
|
|
|
EXAMPLE
|
1, 11/144, 1/96, 137/72000, 1/2400, 363/3512320, ...
|
|
|
CROSSREFS
|
Cf. A093158.
Sequence in context: A174683 A173713 A185589 * A056628 A093769 A124512
Adjacent sequences: A093156 A093157 A093158 * A093160 A093161 A093162
|
|
|
KEYWORD
|
nonn,frac
|
|
|
AUTHOR
|
Eric W. Weisstein, Mar 26, 2004; Jan 27 2005
|
|
|
STATUS
|
approved
|
| |
|
|
