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 A009282 #23 Sep 03 2022 22:53:00 %S A009282 1,2,4,7,8,-7,-74,-209,-40,2441,10954,6667,-185524,-1041739,-510530, %T A009282 26716831,158378768,-47260303,-6226501934,-34323431789,71521515284, %U A009282 2087815263725,9437342779558,-55046954388953,-923175950185960,-2736047549718871,43387645616657338 %N A009282 Expansion of e.g.f.: exp(x + sin(x)). %F A009282 E.g.f.: exp(x + sin(x)). %F A009282 a(0) = 1; a(n) = a(n-1) + Sum_{k=0..floor((n-1)/2)} (-1)^k * binomial(n-1,2*k) * a(n-2*k-1). - _Ilya Gutkovskiy_, Apr 10 2022 %t A009282 With[{nn=30},CoefficientList[Series[Exp[x+Sin[x]],{x,0,nn}],x] Range[ 0,nn]!] (* _Harvey P. Dale_, Aug 23 2014 *) %o A009282 (PARI) x='x+O('x^66); Vec(serlaplace(exp(x + sin(x)))) /* _Joerg Arndt_, Sep 01 2012 */ %Y A009282 Cf. A002017, A009209, A009283. %K A009282 sign,easy %O A009282 0,2 %A A009282 _R. H. Hardin_ %E A009282 Extended with signs by _Olivier Gérard_, Mar 15 1997 %E A009282 Name corrected by _Arkadiusz Wesolowski_, Sep 01 2012