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A001881 Coefficients of Bessel polynomials y_n (x).
(Formerly M5116 N2217)
+0
6
1, 21, 378, 6930, 135135, 2837835, 64324260, 1571349780, 41247931725, 1159525191825, 34785755754750, 1109981842719750, 37554385678684875, 1343291487737574375 (list; graph; listen)
OFFSET

5,2

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).

J. Riordan, Combinatorial Identities, Wiley, 1968, p. 77.

LINKS

Index entries for sequences related to Bessel functions or polynomials

FORMULA

(2n-5)!/ [5!*(n-5)!*2^(n-5) ].

a(n)= binomial(n-3,2)*(2*n-5)!!/5!!, n>=5, with (2*n-5)!! = A001147(n-2).

CROSSREFS

See A001518.

(1/4) the coefficient of x^2 of polynomials in A098503.

Column 5 of triangle A001497.

Third column (m=2) of Laguerre-Sonin a=1/2 triangle A130757.

Sequence in context: A036904 A134494 A004370 this_sequence A108740 A094172 A145613

Adjacent sequences: A001878 A001879 A001880 this_sequence A001882 A001883 A001884

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.


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