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 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