Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A000906
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A000906 Exponential generating function: 2(1+3x)/(1-2x)^(7/2).
(Formerly M2124 N0841)
+0
5
2, 20, 210, 2520, 34650, 540540, 9459450, 183783600, 3928374450, 91662070500, 2319050383650, 63246828645000, 1849969737866250, 57775977967207500, 1918987839625106250, 67548371954803740000, 2511955082069264081250 (list; graph; listen)
OFFSET

0,1

COMMENT

Ramanujan polynomials -psi_{n+2}(n+2,x) evaluated at 1.

With offset 2, second Eulerian transform of 0,1,2,3,4... - Ross La Haye (rlahaye(AT)new.rr.com), Mar 05 2005

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.

FORMULA

(2n+5)!!/3 - (2n+3)!!.

PROGRAM

(PARI) a(n)=(2n+6)!/(n+3)!/2^(n+3)/3-(2n+4)!/(n+2)!/2^(n+2)

CROSSREFS

a(n) = 2*A000457(n) = A051577(n+1) - A001147(n+2).

Negative coefficient of x of polynomials in A098503.

Sequence in context: A037624 A077327 A067636 this_sequence A127110 A109106 A099976

Adjacent sequences: A000903 A000904 A000905 this_sequence A000907 A000908 A000909

KEYWORD

nonn

AUTHOR

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

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

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


AT&T Labs Research