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.

A001342 E.g.f.: 24*exp(x)/(1-x)^5.

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%I A001342 M5147 N2233 #33 Dec 21 2022 04:44:55
%S A001342 24,144,984,7584,65304,622704,6523224,74542464,923389464,12331112784,
%T A001342 176656186584,2703187857504,44010975525144,759759305162544,
%U A001342 13863284116261464,266629052052953664,5391260831368104984,114341673457251051024,2538207055383516388824
%N A001342 E.g.f.: 24*exp(x)/(1-x)^5.
%D A001342 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A001342 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A001342 T. D. Noe, <a href="/A001342/b001342.txt">Table of n, a(n) for n = 0..100</a>
%H A001342 E. Biondi, L. Divieti, and G. Guardabassi, <a href="http://dx.doi.org/10.4153/CJM-1970-003-9">Counting paths, circuits, chains and cycles in graphs: A unified approach</a>, Canad. J. Math. 22 1970 22-35.
%F A001342 a(n) = floor( n! * (n^4+6*n^3+17*n^2+20*n+9) * exp(1) ). [_Mark van Hoeij_, Nov 11 2009]
%F A001342 a(n) = Sum_{k=0..n} binomial(n, k)*(k+4)!. - _Christian Krause_, Dec 21 2022
%t A001342 nn = 20; Range[0, nn]! CoefficientList[Series[24*Exp[x]/(1 - x)^5, {x, 0, nn}], x] (* _T. D. Noe_, Jun 28 2012 *)
%o A001342 (PARI) a(n) = n!*polcoeff(24*exp(x+x*O(x^n))/(1-x)^5, n) \\ _Christian Krause_, Dec 21 2022
%Y A001342 Same as 24*A095177.
%K A001342 nonn
%O A001342 0,1
%A A001342 _N. J. A. Sloane_ and _Simon Plouffe_
%E A001342 Error in description corrected Jan 30 2008
%E A001342 More terms from _N. J. A. Sloane_, Jan 30 2008