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A000457 Exponential generating function: (1+3x)/(1-2x)^(7/2).
(Formerly M4736 N2028)
+0
12
1, 10, 105, 1260, 17325, 270270, 4729725, 91891800, 1964187225, 45831035250, 1159525191825, 31623414322500, 924984868933125, 28887988983603750, 959493919812553125, 33774185977401870000, 1255977541034632040625 (list; graph; listen)
OFFSET

0,2

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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|.

Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), May 24 2009: (Start)

Cf. A160473.

(End)

Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Oct 16 2009: (Start)

Equals row sums of A163939.

(End)

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

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Aug 15 2002

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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