Search: id:A001516
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%I A001516 M4295 N1795
%S A001516 0,0,6,120,1980,32970,584430,11204676,233098740,5254404210,127921380840,
%T A001516 3350718545460,94062457204716,2819367702529560,89912640142178490,
%U A001516 3040986592542420060,108752084073199561140,4101112025363285051526
%N A001516 Bessel polynomial {y_n}''(1).
%D A001516 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A001516 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A001516 J. Riordan, Combinatorial Identities, Wiley, 1968, p. 77.
%H A001516 <a href="Sindx_Be.html#Bessel">Index entries for sequences related to 
               Bessel functions or polynomials</a>
%p A001516 (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;
%p A001516 [seq( subs(x=1,diff(f(n),x$2)),n=0..60)];
%Y A001516 Cf. A001497, A001498, A001514, A001515, A001518, A065944, A144505.
%Y A001516 Sequence in context: A066289 A115678 A048604 this_sequence A026337 A065888 
               A075844
%Y A001516 Adjacent sequences: A001513 A001514 A001515 this_sequence A001517 A001518 
               A001519
%K A001516 nonn,easy
%O A001516 0,3
%A A001516 N. J. A. Sloane (njas(AT)research.att.com).

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