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 A049217 #18 Aug 25 2012 06:53:24 %S A049217 1,112,14448,2393600,510205696,137602949120,46060832825344, %T A049217 18793914785464320,9198585089011777536,5325419604670079827968, %U A049217 3602492652661227322343424,2817222656974232498101813248,2523030777997770071132105342976,2566233198310773279287315980615680 %N A049217 E.g.f.: (arctanh(x))^6/6! (even powers only). %H A049217 Alois P. Heinz, <a href="/A049217/b049217.txt">Table of n, a(n) for n = 0..80</a> %F A049217 E.g.f.: (arctanh x)^6/6! = sum(n>=0, a(n)*x^(2*n+6)/(2*n+6)! ). %e A049217 (arctanh x)^6 = x^6 + 2*x^8 + 43/15*x^10 + 680/189*x^12 + ... %p A049217 a:= n-> (2*n+6)!* coeff(series(arctanh(x)^6/6!, x, 2*n+7), x, 2*n+6): %p A049217 seq (a(n), n=0..20); # _Alois P. Heinz_, Aug 25 2012 %t A049217 With[{nn=40, c=6!}, Take[CoefficientList[Series[ArcTanh[x]^6/c, {x, 0, nn}], x] Range[0, nn]!, {7, -1, 2}]] (* _Harvey P. Dale_, Aug 24 2012 *) %o A049217 (PARI) a(n) = polcoeff(serlaplace(atanh(x+O(x^24))^6)/6!,2*n+6) %K A049217 nonn,easy %O A049217 0,2 %A A049217 Joe Keane (jgk(AT)jgk.org) %E A049217 Definition clarified by _Harvey P. Dale_, Aug 24 2012.