A011191 Coefficients in expansion of Pi as Sum_{n>=1} a(n)/(n*n!*(n+1)!), as found by greedy algorithm.

6, 3, 7, 4, 18, 1, 21, 35, 76, 82, 56, 25, 98, 149, 111, 170, 166, 195, 113, 306, 221, 367, 533, 373, 360, 675, 7, 262, 194, 669, 776, 1083, 384, 617, 725, 752, 122, 1131, 514, 992, 1238, 600, 1380, 1306, 1991, 1983, 114, 2021, 534, 1660, 192, 733, 1596, 1898

Offset

1,1

Links

Table of n, a(n) for n=1..54.

Mathematica

seq[cons_, len_] := Module[{s = {}, n = 0, c = cons, m}, While[n < len, n++; m = Floor[c*(n*n!*(n + 1)!)]; AppendTo[s, m]; c -= m/(n*n!*(n + 1)!)]; s]; seq[Pi, 50] (* Amiram Eldar, Mar 11 2022 *)

Crossrefs

Cf. A000796, A011189, A011193.

Sequence in context: A073223 A182549 A260660 * A246730 A200239 A097676

Adjacent sequences: A011188 A011189 A011190 * A011192 A011193 A011194

Keyword

nonn

Author

N. J. A. Sloane.

Extensions

Offset corrected and more terms from Sean A. Irvine, Jun 14 2018

Status

approved