cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A281454 Exponential transform of the 4-dimensional figurate numbers (A002417).

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%I A281454 #8 Feb 16 2025 08:33:39
%S A281454 1,1,9,55,441,4316,46867,566714,7550601,109118728,1696640501,
%T A281454 28209128344,498557098921,9320449092072,183575505529431,
%U A281454 3796015849264216,82156098504947473,1856012774517648896,43663382492497648777,1067393396478808265656,27062739020373087036281,710410408414549934445376,19277762831507022675509139
%N A281454 Exponential transform of the 4-dimensional figurate numbers (A002417).
%H A281454 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 A281454 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 A281454 N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>
%H A281454 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ExponentialTransform.html">Exponential Transform</a>
%F A281454 E.g.f.: exp(exp(x)*x*(6 + 18*x + 9*x^2 + x^3)/6).
%e A281454 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 A281454 Range[0, 22]! CoefficientList[Series[Exp[Exp[x] x (6 + 18 x + 9 x^2 + x^3)/6], {x, 0, 22}], x]
%Y A281454 Cf. A002417, A281231.
%K A281454 nonn
%O A281454 0,3
%A A281454 _Ilya Gutkovskiy_, Jan 22 2017