A134878 -id:A134878 - cp's OEIS frontend

A134879 Decimal expansion of Sum_{k>=1} 1/(k^3)^(k^3).

1, 0, 0, 0, 0, 0, 0, 0, 5, 9, 6, 0, 4, 6, 4, 4, 7, 7, 5, 3, 9, 0, 6, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 5, 5, 1, 6, 5, 2, 3, 3, 7, 2, 8, 4, 5, 8, 8, 8, 8, 8, 3, 7, 9, 8, 9, 7, 5, 9, 3, 7, 6, 8, 3, 7, 2, 0, 8, 4, 9, 2, 0, 2, 8, 5, 0, 1, 1, 5, 8, 4, 6, 2, 0, 8, 2, 0, 3, 7, 4, 9, 4, 4, 6, 3, 3, 8, 5, 6, 0, 8, 4, 0, 0

Offset: 1

Artur Jasinski, Nov 14 2007

Sum_{k>=1} 1/(k^3)^(k^3) = 1.00000005960464477539062500000000000000225516523372...

Cf. A073009, A100085, A134877, A134878.

RealDigits[N[Sum[1/(n^3)^(n^3), {n, 1, 30}], 200]][[1]]

suminf(n=1,n^(-3*n^3)) \\ Charles R Greathouse IV, Dec 26 2011

A008972 n^2 raised to power n^2.

Original entry on oeis.org

1, 256, 387420489, 18446744073709551616, 88817841970012523233890533447265625, 106387358923716524807713475752456393740167855629859291136

Offset: 1

N. J. A. Sloane

Since (x^n)^m = x^(nm) then (n^2)^(n^2) = n^(2*(n^2)). - Jonathan Vos Post, Mar 08 2010

Vincenzo Librandi, Table of n, a(n) for n = 1..19

Cf. A000290, A000312, A134878.

[(n^2)^(n^2): n in [1..10]]; // Vincenzo Librandi, Jun 11 2013

Maple
```
[ seq((n^2)^(n^2), n=1..8) ];
```

Table[(n^2)^(n^2), {n, 1, 10}] (* Vincenzo Librandi, Jun 11 2013 *)

a(n)=n^(2*n^2) \\ Charles R Greathouse IV, Jan 19 2012

a(n) = A000312(A000290(n)). - Reinhard Zumkeller, Mar 20 2009
a(n) = n^(2*(n^2)). - Jonathan Vos Post, Mar 08 2010
a(n) = [x^(n^2)] 1/(1 - n^2*x). - Ilya Gutkovskiy, Oct 10 2017
Sum_{n>=1} 1/a(n) = A134878. - Amiram Eldar, Nov 13 2020

A134880 Decimal expansion of Sum_{k>=1} 1/(2^k)^(2^k).

Original entry on oeis.org

2, 5, 3, 9, 0, 6, 3, 0, 9, 6, 0, 4, 6, 4, 4, 7, 7, 5, 4, 4, 4, 8, 3, 5, 1, 0, 8, 6, 2, 4, 2, 7, 5, 2, 2, 1, 7, 0, 0, 3, 7, 2, 6, 4, 0, 0, 4, 4, 1, 8, 1, 3, 1, 3, 3, 3, 7, 0, 7, 2, 6, 6, 4, 5, 8, 5, 4, 1, 1, 9, 7, 7, 3, 3, 5, 5, 9, 0, 7, 7, 9, 3, 6, 0, 9, 7, 6, 6, 9, 0, 4, 0, 1

Offset: 0

Artur Jasinski, Nov 14 2007

			0.25390630960464477544483510862427522170037264004418131333707266458541197733559...

Cf. A073009, A100085, A134877, A134878, A134879.

RealDigits[N[Sum[1/(2^n)^(2^n), {n, 1, 30}], 200]][[1]]

suminf(k=1, 1/(2^k)^(2^k)) \\ Michel Marcus, Jan 15 2021

A134883 Decimal expansion of Sum_{n>=1} 1/(n^n+1).

Original entry on oeis.org

7, 3, 9, 9, 4, 7, 9, 4, 3, 4, 9, 5, 4, 6, 5, 5, 1, 2, 2, 5, 6, 0, 2, 5, 5, 3, 0, 7, 3, 4, 9, 9, 4, 7, 8, 2, 0, 5, 6, 1, 1, 0, 6, 6, 5, 7, 4, 2, 2, 4, 3, 9, 6, 2, 8, 7, 4, 5, 4, 5, 6, 5, 1, 9, 9, 9, 8, 0, 4, 3, 0, 8, 5, 4, 0, 8, 4, 8, 8, 1, 0, 2, 8, 9, 7, 3, 9, 5, 3, 1, 1, 2, 0, 7, 1, 2, 1, 5, 6, 8, 2, 0, 5, 9

Offset: 0

Artur Jasinski, Nov 15 2007

Constant formed from sum of reversed Sierpinski numbers of first kind A014566.

			0.7399479434954655122560255307349947820561106657422439628745456519998...

Cf. A014566, A073009, A100085, A134877, A134878, A134879, A134880, A134881, A134882.

RealDigits[N[Sum[1/(n^n + 1), {n, 1, 150}], 100]][[1]] (* first zero removed *)

A134881 Decimal expansion of Sum_{k>=1} 1/(e^k)^(e^k).

Original entry on oeis.org

0, 6, 5, 9, 8, 8, 4, 1, 7, 7, 4, 3, 3, 4, 3, 7, 9, 1, 7, 5, 6, 5, 6, 2, 3, 8, 6, 7, 2, 4, 1, 0, 7, 7, 9, 7, 4, 3, 8, 1, 4, 4, 4, 3, 9, 3, 4, 1, 2, 1, 3, 1, 0, 2, 6, 2, 8, 0, 5, 4, 3, 6, 6, 5, 5, 9, 9, 9, 8, 5, 2, 0, 7, 6, 6, 0, 7, 1, 5, 7, 1, 2, 7, 8, 5, 1, 1, 2, 0, 0, 8, 1, 9, 4, 3, 6, 0, 7, 7, 0, 2

Offset: 0

Artur Jasinski, Nov 14 2007

			0.06598841774334379175656238672410779743814443934121...

Cf. A073009, A100085, A134877, A134878, A134879, A134890.

RealDigits[N[Sum[1/(E^n)^(E^n), {n, 1, 20}], 200]][[1]] (* first two zeros removed *)

A134882 Decimal expansion of Sum_{x>=1} 1/(Pi^x)^(Pi^x).

Original entry on oeis.org

0, 2, 7, 4, 2, 5, 6, 9, 3, 2, 7, 6, 9, 9, 1, 3, 7, 8, 2, 8, 1, 1, 6, 1, 1, 9, 4, 8, 4, 3, 1, 2, 0, 8, 3, 2, 6, 8, 2, 2, 5, 5, 9, 5, 3, 8, 8, 0, 5, 7, 8, 9, 0, 7, 0, 9, 9, 8, 8, 1, 7, 4, 4, 3, 1, 0, 1, 6, 1, 3, 8, 6, 5, 0, 3, 8, 8, 4, 7, 4, 4, 5, 7, 6, 3, 0, 8, 4, 3, 8, 8, 3, 2, 9, 1, 7, 4, 4, 7, 1, 1

Offset: 0

Artur Jasinski, Nov 14 2007

			0.02742569327699137828116119484312083268225595388057...

Cf. A073009, A100085, A134877, A134878, A134879, A134880, A134881, A134883.

RealDigits[N[Sum[1/(Pi^n)^(Pi^n), {n, 1, 20}], 200]][[1]] (* first two zeros removed *)

cp's OEIS Frontend

A134879 Decimal expansion of Sum_{k>=1} 1/(k^3)^(k^3).

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A008972 n^2 raised to power n^2.

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A134880 Decimal expansion of Sum_{k>=1} 1/(2^k)^(2^k).

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A134883 Decimal expansion of Sum_{n>=1} 1/(n^n+1).

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A134881 Decimal expansion of Sum_{k>=1} 1/(e^k)^(e^k).

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A134882 Decimal expansion of Sum_{x>=1} 1/(Pi^x)^(Pi^x).

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