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A199297 Binomial transform of A090426. 0

%I

%S 1,3,13,59,257,1088,4547,18906,78448,325210,1347552,5582415,23122986,

%T 95771842,396659584,1642825239,6803957409,28179306468,116707377067,

%U 483354745392,2001859113304,8290886288280,34337476313478,142211844759126,588983541662827

%N Binomial transform of A090426.

%C 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.

%t 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 *)

%Y Cf. A090426.

%K nonn

%O 1,2

%A _Arkadiusz Wesolowski_, Apr 24 2012

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Last modified April 6 07:52 EDT 2020. Contains 333267 sequences. (Running on oeis4.)