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A001516
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Bessel polynomial {y_n}''(1).
(Formerly M4295 N1795)
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11
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0, 0, 6, 120, 1980, 32970, 584430, 11204676, 233098740, 5254404210, 127921380840, 3350718545460, 94062457204716, 2819367702529560, 89912640142178490, 3040986592542420060, 108752084073199561140, 4101112025363285051526
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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REFERENCES
| J. Riordan, Combinatorial Identities, Wiley, 1968, p. 77.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| Index entries for sequences related to Bessel functions or polynomials
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FORMULA
| G.f.: 6*x^2*(1-x)^(-5)*hypergeom([5/2,3],[],2*x/(x-1)^2) - Mark van Hoeij, Nov 07 2011
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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)];
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CROSSREFS
| Cf. A001497, A001498, A001514, A001515, A001518, A065944, A144505.
Sequence in context: A170917 A115678 A048604 * A026337 A065888 A185757
Adjacent sequences: A001513 A001514 A001515 * A001517 A001518 A001519
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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