|
Search: id:A000457
|
|
|
| A000457 |
|
Exponential generating function: (1+3x)/(1-2x)^(7/2).
(Formerly M4736 N2028)
|
|
+0
8
|
|
| 1, 10, 105, 1260, 17325, 270270, 4729725, 91891800, 1964187225, 45831035250, 1159525191825, 31623414322500, 924984868933125, 28887988983603750, 959493919812553125, 33774185977401870000, 1255977541034632040625
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
REFERENCES
|
L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 256.
F. N. David and D. E. Barton, Combinatorial Chance. Hafner, NY, 1962, p. 296.
C. Jordan, On Stirling's Numbers, Tohoku Math. J., 37 (1933), 254-278.
C. Jordan, Calculus of Finite Differences. Budapest, 1939, p. 152.
|
|
LINKS
|
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
|
|
FORMULA
|
(2n+3)!/ [3!*n!*2^n ].
a(n)=(n+1)*(2*n+3)!!/3, n>=0, with (2*n+3)!! = A001147(n+2).
|
|
CROSSREFS
|
Equals (1/2)*A000906.
Third column of triangle A001497.
Second column (m=1) of unsigned Laguerre-Sonin a=1/2 triangle |A130757|.
Sequence in context: A046715 A079515 A024131 this_sequence A113348 A068883 A087599
Adjacent sequences: A000454 A000455 A000456 this_sequence A000458 A000459 A000460
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
njas
|
|
EXTENSIONS
|
More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Aug 15 2002
|
|
|
Search completed in 0.002 seconds
|
