A011189 -id:A011189

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A011191

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

+10
2

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

(list; graph; refs; listen; history; text; internal format)

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.

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

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

STATUS

approved

A011193

Coefficients in expansion of sqrt(2) as Sum_{n>=1} a(n)/(n*n!*(n+1)!), as found by greedy algorithm.

+10
2

2, 9, 16, 25, 2, 38, 16, 31, 93, 115, 112, 128, 117, 173, 254, 96, 15, 88, 235, 308, 13, 501, 151, 171, 301, 310, 348, 841, 493, 238, 982, 436, 306, 142, 1113, 151, 1361, 586, 1284, 1361, 368, 1685, 1340, 194, 897, 707, 1930, 782, 321, 2237, 27, 1407, 2250, 1226

(list; graph; refs; listen; history; text; internal format)

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[Sqrt[2], 50] (* Amiram Eldar, Mar 11 2022 *)

CROSSREFS

Cf. A002193, A011189, A011191.

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

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

STATUS

approved

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