This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A206177 G.f.: exp( Sum_{n>=1} x^n/n * Sum_{k=0..n} binomial(n,k)^3 * 2^k ). 2
 1, 3, 15, 93, 657, 5067, 41579, 357297, 3181305, 29133387, 272939679, 2605588317, 25269158105, 248367451299, 2469462766347, 24800305889217, 251258730935697, 2565372042688563, 26373806952805519, 272818956588097341, 2837840577104379201, 29667671262881320347 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Logarithmic derivative yields A206178. LINKS EXAMPLE G.f.: A(x) = 1 + 3*x + 15*x^2 + 93*x^3 + 657*x^4 + 5067*x^5 + 41579*x^6 +... where log(A(x)) = 3*x + 21*x^2/2 + 171*x^3/3 + 1521*x^4/4 + 14283*x^5/5 + 138909*x^6/6 +...+ A206178(n)*x^n/n +... PROG (PARI) {a(n)=polcoeff(exp(sum(m=1, n, x^m/m*sum(k=0, m, binomial(m, k)^3*2^k))+x*O(x^n)), n)} CROSSREFS Cf. A206178. Sequence in context: A103210 A203014 A060066 * A272230 A308457 A241711 Adjacent sequences:  A206174 A206175 A206176 * A206178 A206179 A206180 KEYWORD nonn AUTHOR Paul D. Hanna, Feb 04 2012 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 5 10:45 EST 2019. Contains 329751 sequences. (Running on oeis4.)