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%I #8 Sep 20 2017 20:01:52
%S 1,2,10,75,758,9660,148772,2688420,55784710,1307378358,34158527852,
%T 984547901051,31034429035260,1062081192039140,39218355263626632,
%U 1554260970293874135,65803396940022289734,2964120950479432183950,141548149894016562758300,7143010414313948156920665,379821534884560034711455956
%N a(n) = n! * [x^n] exp(n*x)*(BesselI(0,2*x) + BesselI(1,2*x)).
%C The n-th term of the n-th binomial transform of A001405.
%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%F a(n) = A292630(n,n).
%F a(n) ~ (BesselI(0,2) + BesselI(1,2)) * n^n. - _Vaclav Kotesovec_, Sep 20 2017
%t Table[n!*SeriesCoefficient[E^(n*x)*(BesselI[0,2*x] + BesselI[1,2*x]),{x,0,n}], {n,0,20}] (* _Vaclav Kotesovec_, Sep 20 2017 *)
%Y Main diagonal of A292630.
%Y Cf. A001405, A186925, A292629, A292632.
%K nonn
%O 0,2
%A _Ilya Gutkovskiy_, Sep 20 2017