17 May 2017 AD; Feast of St. Paschal Baylon

 

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) Descending

  index                               value of                                        reciprocal of

   of a

  Const.               Transcendental Constant               Transcendental Constant

   8=π             0.314159265358979312D+01      0.318309886183790684D+00

   7=e              0.271828182845904507D+01      0.367879441171442346D+00

    6                 0.235200960585625937D+01      0.425168331587636367D+00

    5                 0.203509037514925342D+01      0.491378669080806819D+00

    4                 0.176087411578294302D+01      0.567899766960551207D+00

    3                 0.152360685770869408D+01      0.656337292616199910D+00

    2                 0.131830994393645181D+01      0.758546959764269434D+00

    1                 0.114067556173602906D+01      0.876673467500320064D+00

0                 0.986976350384356956D+00      0.101319550322616268D+01

index                               value of                                        reciprocal of

  of a

Const.               Transcendental Constant               Transcendental Constant

   -1                 0.853987188728299201D+00      0.117097775376365230D+01

   -2                 0.738917521405711118D+00      0.135333101602139241D+01

   -3                 0.639352803703560261D+00      0.156408166853625931D+01

   -4                 0.553203836371288741D+00      0.180765196163397389D+01

   -5                 0.478662927265125940D+00      0.208915281096359360D+01

   -6                 0.414165959948701599D+00      0.241449104152320855D+01

   -7                 0.358359573322918068D+00      0.279049333251354022D+01

   -8                 0.310072763604450080D+00      0.322504946379511120D+01

   -9                  0.268292312767837647D+00      0.372727786973655710D+01

  -10                0.232141527858082957D+00      0.430771697432498359D+01

  -11                0.200861845053748015D+00      0.497854632238598138D+01

  -12                0.173796912472552605D+00      0.575384214698249017D+01

  -13                0.150378817723742148D+00      0.664987273564738060D+01

  -14                0.130116171215422574D+00      0.768543979321665394D+01

  -15                0.112583795164976754D+00      0.888227296419197310D+01

  -16                0.974138019536734692D-01      0.102654857930251439D+02

  -17                0.842878746196464337D-01      0.118641026898893082D+02

  -18                0.729305875082861313D-01      0.137116679594331161D+02

  -19                0.631036269250526323D-01      0.158469496719687312D+02

  -20                0.546007905207646685D-01      0.183147531466545384D+02

      index                             value of                                        reciprocal of

     of a

  Const.               Transcendental Constant               Transcendental Constant

  -21                0.472436604798201673D-01      0.211668611162579944D+02

  -22                0.408778597204321926D-01      0.244631203012853635D+02

  -23                0.353698125494972938D-01      0.282726971934210282D+02

  -24                 0.306039417998509013D-01      0.326755293987937162D+02

  -25                0.264802436365180286D-01      0.377640029950832123D+02

  -26                0.229121891433204112D-01      0.436448910990039522D+02

  -27                0.198249086581410127D-01      0.504415943217652277D+02

  -28                0.171536207581549937D-01      0.582967301247225335D+02

  -29                0.148422729299070323D-01      0.673751254085221646D+02

  -30                0.128423654009677037D-01      0.778672751302223152D+02

  -31                0.111119334532413439D-01      0.899933395216923874D+02

And so on…