The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A328055 Expansion of e.g.f. -log(1 - x / (1 - x)^2). 1
 0, 1, 5, 32, 270, 2904, 38400, 605520, 11113200, 232888320, 5488560000, 143704108800, 4138573824000, 130020673305600, 4425201196416000, 162194862064435200, 6369479157000960000, 266808274486161408000, 11874724379464826880000, 559591797303082672128000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS FORMULA E.g.f.: log(1 + Sum_{k>=1} Fibonacci(2*k) * x^k). a(n) = (n - 1)! * (Lucas(2*n) - 2) for n > 0. MATHEMATICA nmax = 19; CoefficientList[Series[-Log[1 - x/(1 - x)^2], {x, 0, nmax}], x] Range[0, nmax]! Join[{0}, Table[(n - 1)! (LucasL[2 n] - 2), {n, 1, 19}]] PROG (MAGMA) [0] cat [Factorial(n - 1)*(Lucas(2*n)-2):n in [1..20]]; // Marius A. Burtea, Oct 03 2019 (PARI) my(x='x+O('x^20)); concat(0, Vec(serlaplace(-log(1 - x / (1 - x)^2)))) \\ Michel Marcus, Oct 03 2019 CROSSREFS Cf. A001906, A004146, A005248, A005443, A029767, A052567 (exponential transform), A100404, A226968, A328054. Sequence in context: A215916 A068102 A166993 * A265130 A305407 A320349 Adjacent sequences:  A328052 A328053 A328054 * A328056 A328057 A328058 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Oct 03 2019 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 January 19 21:47 EST 2020. Contains 331066 sequences. (Running on oeis4.)