A098801 -id:A098801 - cp's OEIS frontend

A101298 Bisection of A098801 (decimal expansion of Pi + 1/Pi).

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

Offset: 0

Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Dec 22 2004

nmax := 200: Digits := 2*nmax: A101298 := proc(n) floor(10^(2*n)*evalf(Pi+1.0/Pi)) mod 10; end: seq(A101298(n),n=0..nmax-10) ; # R. J. Mathar, Mar 12 2008

Take[RealDigits[Pi+1/Pi,10,220][[1]],{1,-1,2}] (* Harvey P. Dale, May 21 2018 *)

More terms from R. J. Mathar, Mar 12 2008

A099643 Continued fraction for Pi + 1/Pi.

Original entry on oeis.org

3, 2, 5, 1, 2, 1, 3, 2, 1, 2, 1, 13, 897, 2, 8, 1, 2, 1, 1, 15, 2, 3, 2, 1, 1, 2, 1, 11, 2, 1117, 1, 12, 2, 1, 1, 2, 1, 18, 4, 187, 22, 1, 3, 3, 3, 14, 1, 2, 3, 1, 78, 3, 1, 1, 65, 3, 1, 4, 2, 2, 2, 1, 3, 16, 2, 5, 5, 2, 1, 4, 1, 3, 883, 1, 1, 1, 2, 1, 1, 2, 3, 1, 4, 1, 15, 1, 2, 5, 1, 1, 2, 1, 9, 16, 1

Offset: 0

Labos Elemer, Nov 02 2004

Pi and 1/Pi have separately x and 1-shifted-x continued fraction coefficient series. This expansion apparently does not display connection with those of added terms.

Amiram Eldar, Table of n, a(n) for n = 0..10000

Cf. A001203, A098801 (decimal expansion).

Mathematica
```
ContinuedFraction[Pi+1/Pi, 128]
```

contfrac(Pi + 1/Pi) \\ Amiram Eldar, Mar 08 2025

Offset changed by Andrew Howroyd, Aug 04 2024

A347407 Decimal expansion of Sum_{i>=1} of i/Pi^i.

Original entry on oeis.org

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

Offset: 0

Christoph B. Kassir, Aug 30 2021

			0.684977231531558172713446096930765618100063823640134883981...

Cf. A000796, A098801.

RealDigits[Pi/(Pi - 1)^2, 10, 100][[1]] (* Amiram Eldar, Aug 30 2021 *)

suminf(i=1, i/Pi^i) \\ Michel Marcus, Aug 30 2021

Equals Pi/(Pi-1)^2. - Vaclav Kotesovec, Aug 30 2021

Equals 1/(A098801 - 2). - Amiram Eldar, Aug 30 2021

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A101298 Bisection of A098801 (decimal expansion of Pi + 1/Pi).

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A099643 Continued fraction for Pi + 1/Pi.

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A347407 Decimal expansion of Sum_{i>=1} of i/Pi^i.

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