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A001516 Bessel polynomial {y_n}''(1).
(Formerly M4295 N1795)
+0
12
0, 0, 6, 120, 1980, 32970, 584430, 11204676, 233098740, 5254404210, 127921380840, 3350718545460, 94062457204716, 2819367702529560, 89912640142178490, 3040986592542420060, 108752084073199561140, 4101112025363285051526 (list; graph; listen)
OFFSET

0,3

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

MAPLE

(As in A001497 define:) f := proc(n) option remember; if n <=1 then (1+x)^n else expand((2*n-1)*x*f(n-1)+f(n-2)); fi; end;

[seq( subs(x=1, diff(f(n), x$2)), n=0..60)];

CROSSREFS

Cf. A001497, A001498, A001514, A001515, A001518, A065944, A144505.

Sequence in context: A066289 A115678 A048604 this_sequence A026337 A065888 A075844

Adjacent sequences: A001513 A001514 A001515 this_sequence A001517 A001518 A001519

KEYWORD

nonn,easy

AUTHOR

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

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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