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Search: id:A001518
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| A001518 |
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Bessel polynomial y_n(3).
(Formerly M3669 N1495)
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+0
18
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| 1, 4, 37, 559, 11776, 318511, 10522639, 410701432, 18492087079, 943507142461, 53798399207356, 3390242657205889, 233980541746413697, 17551930873638233164, 1421940381306443299981, 123726365104534205331511, 11507973895102987539130504
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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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.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..100
Index entries for sequences related to Bessel functions or polynomials
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FORMULA
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y_n(x) = sum ((n+k)!*(x/2)^k/((n-k)!*k!), k=0..n);
a(n) = 3(2n-1)*a(n-1) + a(n-2). - T. D. Noe, Oct 26, 2006
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CROSSREFS
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Cf. A001515, A001517.
Polynomial coefficients are in A001498.
Sequence in context: A123762 A070768 A121080 this_sequence A036245 A097998 A155926
Adjacent sequences: A001515 A001516 A001517 this_sequence A001519 A001520 A001521
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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