This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A153732 Binomial transform of A109747. 2
 1, 3, 8, 19, 41, 84, 171, 347, 690, 1385, 2825, 5438, 11077, 24535, 33720, 102623, 350605, -1120228, 5876775, 11232063, -256532422, 1748895117, -4057110163, -42841409122, 605093026361 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Equals triple binomial transform of A014182. LINKS G. C. Greubel, Table of n, a(n) for n = 0..500 FORMULA A007318 * A109747. E.g.f.: exp(2*x+1-exp(-x)) = 1+3*x+8*x^2/2!+19*x^3/3!+.... a(n) = exp(1)*sum {k >= 0}(-1)^k*(2-k)^n/k!. Cf. A126617. - Peter Bala, Oct 28 2011. G.f.: (G(0) - 1)/(x-1) where G(k) =  1 - 1/(1+k*x-2*x)/(1-x/(x-1/G(k+1) )); (recursively defined continued fraction). - Sergei N. Gladkovskii, Jan 17 2013 EXAMPLE a(3) = 19 = (1, 3, 3, 1) dot (1, 2, 3, 3) = (1 + 6 + 9 + 3); where A109747 = (1, 2, 3, 3, 2, 3, 5, -4, 5, 55, -212,...). MATHEMATICA Join[{1}, Rest[CoefficientList[Series[Exp[2*x + 1 - Exp[-x]], {x, 0, 50}], x]*Range[0, 50]!]] (* G. C. Greubel, Aug 31 2016 *) CROSSREFS Cf. A109747, A014182, A126617. Sequence in context: A260547 A182818 A095846 * A089924 A293947 A178457 Adjacent sequences:  A153729 A153730 A153731 * A153733 A153734 A153735 KEYWORD sign AUTHOR Gary W. Adamson, Dec 31 2008 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 23 14:06 EDT 2018. Contains 316528 sequences. (Running on oeis4.)