A281454 - OEIS

%I #7 May 08 2017 00:33:48

%S 1,1,9,55,441,4316,46867,566714,7550601,109118728,1696640501,

%T 28209128344,498557098921,9320449092072,183575505529431,

%U 3796015849264216,82156098504947473,1856012774517648896,43663382492497648777,1067393396478808265656,27062739020373087036281,710410408414549934445376,19277762831507022675509139

%N Exponential transform of the 4-dimensional figurate numbers (A002417).

%H M. Bernstein and N. J. A. Sloane, <a href="http://arXiv.org/abs/math.CO/0205301">Some canonical sequences of integers</a>, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to arXiv version]

%H M. Bernstein and N. J. A. Sloane, <a href="/A003633/a003633_1.pdf">Some canonical sequences of integers</a>, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]

%H N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/ExponentialTransform.html">Exponential Transform</a>

%F E.g.f.: exp(exp(x)*x*(6 + 18*x + 9*x^2 + x^3)/6).

%e E.g.f.: A(x) = 1 + x/1! + 9*x^2/2! + 55*x^3/3! + 441*x^4/4! + 4316*x^5/5! + 46867*x^6/6! + ...

%t Range[0, 22]! CoefficientList[Series[Exp[Exp[x] x (6 + 18 x + 9 x^2 + x^3)/6], {x, 0, 22}], x]

%Y Cf. A002417, A281231.

%K nonn

%O 0,3

%A _Ilya Gutkovskiy_, Jan 22 2017