%I M1722 #27 Jul 20 2022 18:42:50
%S 2,6,90,47250,66852843750,2806877704512541816406250,
%T 1216935896582703898519354781702537118597533386230468750
%N Multiplicative encoding of Pascal triangle: Product p(i+1)^C(n,i).
%C n-th power of x+1 using the encoding of polynomials defined in A206284 and A297845. - _Peter Munn_, Jul 20 2022
%D M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 828.
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H M. Abramowitz and I. A. Stegun, eds., <a href="http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP">Handbook of Mathematical Functions</a>, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
%H N. J. A. Sloane, An on-line version of the Encyclopedia of Integer Sequences, <a href="http://www.combinatorics.org/Volume_1/volume1.html#F1">Electronic J. Combinatorics</a>, Vol. 1, no. 1, 1994.
%H <a href="/index/Pas#Pascal">Index entries for triangles and arrays related to Pascal's triangle</a>
%F a(0) = 2; for n > 0, a(n) = A297845(a(n-1), 6). - _Peter Munn_, Jul 20 2022
%t c[n_] := CoefficientList[(1 + x)^n, x]; f[n_] := Product[Prime[k]^c[n][[k]], {k, 1, Length[c[n]]}]; Table[f[n], {n, 1, 7}] (* _Clark Kimberling_, Feb 05 2012 *)
%Y Leftmost column of square array A066117.
%Y Cf. A007318, A123098, A206295, A206284, A267096, A297845.
%K nonn
%O 0,1
%A _N. J. A. Sloane_.