18 MAY 2017 AD; Feast of St Venantius of Camerino

 

The Transcendental Constants are calculated according to the formula:

UTF(x) = ( C₀ = 0.986976350384… ) * ( π / e )^x     Eqn. 1

In the first column /Index of a Constant/ we have integer values on x-axis;

In the second column we have calculated values of a Transcendental Constants for given integer values from x-axis;

And in the third column we have reciprocals of the Transcendental Constants from the second column.

 

                           Transcendental Numbers (Constants) Ascending

  index                               value of                                        reciprocal of

   of a

  Const.              Transcendental Constant              Transcendental Constant

   8=π             0.314159265358979312D+01      0.318309886183790684D+00

    9                 0.363082455165596085D+01      0.275419532332928629D+00

   10                 0.419624323664115524D+01      0.238308397203504560D+00

   11                0.484971307496136199D+01      0.206197765629251598D+00

   12                0.560494603937147664D+01      0.178413849656282735D+00

   13                0.647778943180391997D+01      0.154373650228627807D+00

   14                0.748655841252238516D+01      0.133572723927105265D+00

   15                0.865242031315942637D+01      0.115574598066983014D+00

   16                0.999983879780488093D+01      0.100001612047937758D+00

index                               value of                                        reciprocal of

  of a

Const.               Transcendental Constant               Transcendental Constant

   17                0.115570871921234719D+02      0.865269927773437835D-01

   18                0.133568417518554654D+02      0.748679978828891215D-01

   19                0.154368673194486492D+02      0.647799828362919749D-01

   20                0.178408097561804774D+02      0.560512674966211336D-01

   21                0.206191117776344837D+02      0.484986943562088035D-01

   22                0.238300714098082830D+02      0.419637852863675148D-01

   23                0.275410652757861409D+02      0.363094161386411981D-01

   24                0.318299623816030976D+02      0.314169394236536821D-01

   25                0.367867580672348834D+02      0.271836946917776082D-01

   26                0.425154624084451820D+02      0.235208543751216994D-01

   27                0.491362826944479087D+02      0.203515598894296032D-01

   28                 0.567881457770318124D+02      0.176093088851028116D-01

   29                0.656316132184295004D+02      0.152365598065049210D-01

   30                0.758522504074383538D+02      0.131835244785556987D-01

   31                0.876645203390660919D+02      0.114071233850619528D-01

   32                0.101316283762161210D+03      0.987008171704647492D-02

   33                0.117094000123107573D+03      0.854014722315954026D-02

   34                0.135328738438696979D+03      0.738941345007064686D-02

   35                0.156403124226304099D+03      0.639373417217083052D-02

   36                0.180759368261086742D+03      0.553221672337121450D-02

      index                             value of                                        reciprocal of

     of a

  Const.               Transcendental Constant               Transcendental Constant

   37                0.208908545630267033D+03      0.478678359941211646D-02

   38                0.241441319789944362D+03      0.414179313163963403D-02

   39                0.279040336650854821D+03      0.358371127272267993D-02

   40                0.322494548762259048D+03      0.310082760728211164D-02

And so on…