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.
%I A007465 M4195 #29 Jul 08 2025 17:04:55
%S A007465 1,6,30,128,486,1692,5512,17040,50496,144512,401664,1089024,2890240,
%T A007465 7529472,19298304,48754688,121602048,299827200,731643904,1768685568,
%U A007465 4239261696,10081796096,23805296640,55839817728,130187001856,301813727232,696036360192,1597358735360
%N A007465 Exponential-convolution of triangular numbers with themselves.
%D A007465 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A007465 M. Bernstein and N. J. A. Sloane, <a href="https://arxiv.org/abs/math/0205301">Some canonical sequences of integers</a>, arXiv:math/0205301 [math.CO], 2002; Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to arXiv version]
%H A007465 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]
%F A007465 G.f.: (-1-6*x^4+12*x^3-10*x^2+4*x)/(2*x-1)^5. [Maksym Voznyy (voznyy(AT)mail.ru), Aug 10 2009]
%F A007465 E.g.f.: (1/4)*exp(2*x)*(2 + 4*x + x^2)^2. - _Ilya Gutkovskiy_, Mar 21 2018
%t A007465 a = DifferenceRoot[Function[{a, n}, {(-2n^4 - 28n^3 - 158n^2 - 388n - 384)* a[n] + (n^4 + 10n^3 + 43n^2 + 74n + 64)*a[n+1] == 0, a[0] == 1}]];
%t A007465 Table[a[n], {n, 0, 27}] (* _Jean-François Alcover_, Feb 24 2019 *)
%Y A007465 Cf. A000217.
%K A007465 nonn
%O A007465 0,2
%A A007465 _N. J. A. Sloane_