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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A174578 Expansion of:-1/(-1 + x + x^4 - x^10 + x^13 + x^14) 0

%I

%S 1,1,1,1,2,3,4,5,7,10,13,17,23,33,46,62,83,114,158,217,296,405,557,

%T 764,1044,1427,1957,2686,3680,5035,6893,9446,12944,17728,24278,33259,

%U 45567,62417,85486,117094,160411,219748,301005,412299,564771,773650,1059760

%N Expansion of:-1/(-1 + x + x^4 - x^10 + x^13 + x^14)

%C Limiting ratio is: 1.3698098178136324.

%C The polynomial was developed from x^4-x^3-1.

%D McKean and Moll, Elliptic Curves, Function Theory,Geometry, Arithmetic, Cambridge University Press, New York, 199, page 173

%t f[x_] = x^4 - x^3 - 1;

%t p[x_] = ExpandAll[x^4*f[-1/x] - x^(4 + 6)*f[x]];

%t f[x_] = ExpandAll[x^14*p[1/x]]

%t a = Table[SeriesCoefficient[

%t Series[-1/f[x], {x, 0, 100}], n], {n, 0, 100}]

%Y Cf. A174577.

%K nonn

%O 0,5

%A _Roger L. Bagula_, Nov 29 2010

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 27 04:33 EDT 2020. Contains 334649 sequences. (Running on oeis4.)