A019774 -id:A019774 - cp's OEIS frontend

A019791 Decimal expansion of sqrt(e)/18.

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

Offset: 0

N. J. A. Sloane

			0.09159562615000711926936948821189797620298756115056377842...

Ivan Panchenko, Table of n, a(n) for n = 0..1001

Cf. A019774.

exp(1/2)/18 \\ Michel Marcus, Aug 25 2022

Equals A019774/18.

a(0) = 0 prepended by Georg Fischer, Aug 25 2022

A019792 Decimal expansion of sqrt(e)/19.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

			0.086774803721059376149928988832324398508093478984744632188162069...

Ivan Panchenko, Table of n, a(n) for n = 0..1001

Cf. A019774.

RealDigits[Sqrt[E]/19,10,120][[1]] (* Harvey P. Dale, Jun 18 2013 *)

PARI
```
exp(1/2)/19
```

Equals A019774/19.

a(0) prepended by Georg Fischer, Aug 25 2022

A019794 Decimal expansion of sqrt(e)/21.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

			0.0785105367000061022308881327530554081739893381290546672178609196...

Ivan Panchenko, Table of n, a(n) for n = 0..1001

Cf. A019774.

exp(1/2)/21 \\ Michel Marcus, Aug 25 2022

Equals A019774/21.

a(0) = 0 prepended by Georg Fischer, Aug 25 2022

A019795 Decimal expansion of sqrt(e)/22.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

			0.07494187594091491576584776308246198052971709548682490961704905962...

Ivan Panchenko, Table of n, a(n) for n = 0..1001

Cf. A019774.

RealDigits[Sqrt[E]/22,10,120][[1]] (* Harvey P. Dale, May 06 2015 *)

exp(1/2)/22 \\ Michel Marcus, Aug 25 2022

Equals A019774/22.

a(0) = 0 prepended by Georg Fischer, Aug 25 2022

A019796 Decimal expansion of sqrt(e)/23.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

			0.0716835335087012237760282951223549378979902652482673048510904...

Ivan Panchenko, Table of n, a(n) for n = 0..1001

Cf. A019774.

exp(1/2)/23 \\ Michel Marcus, Aug 25 2022

Equals A019774/23.

a(0) = 0 prepended by Georg Fischer, Aug 25 2022

A019797 Decimal expansion of sqrt(e)/24.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

			0.0686967196125053394520271161589234821522406708629228338156283...

Vincenzo Librandi, Table of n, a(n) for n = 0..1001

Cf. A001113, A019774.

RealDigits[Sqrt[E]/24,10,120][[1]] (* Harvey P. Dale, Jul 23 2014 *)

Equals A019774/24.

a(0) = 0 prepended by Georg Fischer, Aug 25 2022

A092560 Decimal expansion of e^(-5).

Original entry on oeis.org

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

Offset: 0

Mohammad K. Azarian, Apr 09 2004

			0.006737946999085467096636048423148424248849585027...

Cf. A019774, A001113, A068985.

First[RealDigits[E^-5, 10, 100, -1]] (* Paolo Xausa, Feb 09 2025 *)

A092577 Decimal expansion of e^(-6).

Original entry on oeis.org

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

Offset: 0

Mohammad K. Azarian, Apr 09 2004

			0.0024787521766663

Cf. A019774, A001113, A068985.

Join[{0,0},RealDigits[1/E^6,10,120][[1]]] (* Harvey P. Dale, Sep 29 2013 *)

A092578 Decimal expansion of e^(-7).

Original entry on oeis.org

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

Offset: 0

Mohammad K. Azarian, Apr 09 2004

			0.00091188196555451620800313608440928262647372452743605...

Cf. A019774, A001113, A068985.

First[RealDigits[E^-7, 10, 100, -1]] (* Paolo Xausa, Feb 09 2025 *)

A227514 Decimal expansion of the square root of 2/e.

Original entry on oeis.org

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

Offset: 0

R. J. Mathar, Jul 14 2013

This appears for example while integrating the product of the absolute value of H_2(x) exp(-x^2) over the real line, where H_2 is the second Hermite polynomial.

			0.85776388496070679648018...

R. J. Mathar, Orthogonal linear combinations of Gaussian Type Orbitals, arXiv:physics/9907051 [physics.chem-ph], 1999-2009, Section VII.

Cf. A001113, A002193, A019774, A135002.

Maple
```
evalf(sqrt(2/exp(1))) ;
```

RealDigits[Sqrt[2/E], 10, 120][[1]] (* Amiram Eldar, Jul 08 2023 *)

sqrt(2/exp(1)) \\ Charles R Greathouse IV, Apr 16 2014

Square root of A135002 and also the ratio A002193 / A019774 .
From Amiram Eldar, Jul 08 2023: (Start)
Equals Product_{n>=1} (e / (1 + 1/(n-1/2))^n).
Equals Product_{n>=1} (e * (1 - 1/(n+1/2))^n). (End)

cp's OEIS Frontend

A019791 Decimal expansion of sqrt(e)/18.

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A019792 Decimal expansion of sqrt(e)/19.

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A019794 Decimal expansion of sqrt(e)/21.

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A019795 Decimal expansion of sqrt(e)/22.

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A019796 Decimal expansion of sqrt(e)/23.

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A019797 Decimal expansion of sqrt(e)/24.

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A092560 Decimal expansion of e^(-5).

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A092577 Decimal expansion of e^(-6).

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