A199297 Binomial transform of A090426.

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

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: A339881 A336791 A268596 * A152594 A052984 A360143

Adjacent sequences: A199294 A199295 A199296 * A199298 A199299 A199300

Keyword

nonn

Author

Arkadiusz Wesolowski, Apr 24 2012

Status

approved