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!)
A199297 Binomial transform of A090426. 0
1, 3, 13, 59, 257, 1088, 4547, 18906, 78448, 325210, 1347552, 5582415, 23122986, 95771842, 396659584, 1642825239, 6803957409, 28179306468, 116707377067, 483354745392, 2001859113304, 8290886288280, 34337476313478, 142211844759126, 588983541662827 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n)/a(n-1) tends to Pi + 1; e.g., a(21)/a(20) = 4.1415939998...; whereas A090426(n)/A090426(n-1) tends to Pi.

LINKS

Table of n, a(n) for n=1..25.

MATHEMATICA

r = 25; s = Join[{0, 1}, Table[Floor[Pi^(n + 1)/(Pi^2 + 1)], {n, 2, r}]]; t = Table[Sum[Binomial[n, k]*s[[k + 1]], {k, n}], {n, 0, r}]; Table[t[[n + 1]] - t[[n]], {n, r}] (* Arkadiusz Wesolowski, Jun 01 2013 *)

CROSSREFS

Cf. A090426.

Sequence in context: A151227 A151228 A268596 * A152594 A052984 A262664

Adjacent sequences:  A199294 A199295 A199296 * A199298 A199299 A199300

KEYWORD

nonn

AUTHOR

Arkadiusz Wesolowski, Apr 24 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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 27 06:36 EST 2020. Contains 332299 sequences. (Running on oeis4.)