A021200 -id:A021200 - cp's OEIS frontend

A021127 Decimal expansion of 1/123.

0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1, 3, 0, 0, 8, 1

Offset: 0

N. J. A. Sloane

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 1).

realDigitsRecip[123] (* The realDigitsRecip program is at A021200 *) (* Harvey P. Dale, Aug 26 2024 *)
PadRight[{},120,{0,0,8,1,3}] (* Harvey P. Dale, Aug 26 2024 *)

A021133 Decimal expansion of 1/129.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

Index entries for linear recurrences with constant coefficients, signature (1,0,-1,1,0,-1,1,0,-1,1,0,-1,1,0,-1,1,0,-1,1).

PadRight[{},120,{0,0,7,7,5,1,9,3,7,9,8,4,4,9,6,1,2,4,0,3,1}] (* Harvey P. Dale, Dec 19 2015 *)
realDigitsRecip[129] (* The realDigitsRecip program is at A021200 *) (* Harvey P. Dale, Oct 04 2024 *)

A021151 Decimal expansion of 1/147.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

PadLeft[First@ #, Abs@ Last@ # + Length@ First@ #] &@ RealDigits[N[1/147, 120]] (* Bruno Berselli, Jun 21 2016 *)
realDigitsRecip[147] (* The realDigitsRecip program is at A021200 *) (* Harvey P. Dale, Jan 11 2025 *)

G.f.: x^2*(7*x^39 + x^38 + 5*x^37 + 2*x^36 + 9*x^35 + 2*x^34 + x^33 + 3*x^32 + 2*x^31 + 8*x^30 + 7*x^29 + 5*x^28 + 5*x^27 + 4*x^26 + 9*x^25 + 3*x^24 + 6*x^23 + 8*x^22 + 9*x^21 + 5*x^20 + 6*x^19 + 9*x^18 + 4*x^17 + x^16 + 4*x^15 + 7*x^14 + 3*x^13 + 5*x^12 + 3*x^11 + 4*x^10 + 8*x^9 + 8*x^8 + x^6 + 2*x^5 + 7*x^4 + 2*x^3 + 8*x + 6)/(1 - x^42). - Chai Wah Wu, Jun 21 2016

A021165 Decimal expansion of 1/161.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

Period 66. - Charles R Greathouse IV, Sep 06 2016

Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1).

Join[{0,0},RealDigits[1/161,10,120][[1]]] (* Harvey P. Dale, Dec 21 2022 *)
realDigitsRecip[161] (* The realDigitsRecip program is at A021200 *) (* Harvey P. Dale, Nov 20 2024 *)

PARI
```
1/161. \\ Altug Alkan, Sep 06 2016
```

From Chai Wah Wu, Sep 05 2016: (Start)
a(n) = a(n-1) - a(n-33) + a(n-34) for n > 33.
G.f.: x^2*(-9*x^31 + 4*x^30 + 5*x^28 - x^27 - 2*x^26 + 3*x^25 - 5*x^24 - 4*x^23 + 2*x^22 + 5*x^21 - 3*x^20 + 4*x^18 - 4*x^17 - 2*x^16 - 2*x^15 + 6*x^14 - 3*x^13 - x^12 + 2*x^10 - 2*x^9 - x^8 - x^7 + 8*x^6 - 7*x^5 + x^2 + 4*x - 6)/(x^34 - x^33 + x - 1). (End)

A021179 Decimal expansion of 1/175.

Original entry on oeis.org

0, 0, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5, 7, 1, 4, 2, 8, 5

Offset: 0

N. J. A. Sloane

Index entries for linear recurrences with constant coefficients, signature (1,0,-1,1).

Cf. A021032.

realDigitsRecip[175] (* The realDigitsRecip program is at A021200 *) (* Harvey P. Dale, Nov 28 2024 *)

Equals A021032 minus 3/100. [R. J. Mathar, Oct 25 2008]
From Chai Wah Wu, Sep 21 2016: (Start)
a(n) = a(n-1) - a(n-3) + a(n-4) for n > 5.
G.f.: x^2*(-8*x^3 + 6*x^2 - 2*x - 5)/(x^4 - x^3 + x - 1). (End)

A021198 Decimal expansion of 1/194.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

Index entries for linear recurrences with constant coefficients, signature (1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1).

First[RealDigits[1/194, 10, 100, -1]] (* Paolo Xausa, Jul 24 2025 *)
realDigitsRecip[194] (* The realDigitsRecip program is at A021200 *) (* Harvey P. Dale, Aug 11 2025 *)

A021217 Decimal expansion of 1/213.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

Periodic with period length = 35. - Harvey P. Dale, Jan 15 2023

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

Join[{0,0},RealDigits[1/213,10,120][[1]]] (* or *) PadRight[{},120, {0,0,4,6,9,4,8,3,5,6, 8,0,7,5,1,1,7,3,7,0,8,9,2,0,1,8,7, 7,9,3,4,2,7,2,3}] (* Harvey P. Dale, Jan 15 2023 *)
realDigitsRecip[213] (* The realDigitsRecip program is at A021200 *) (* Harvey P. Dale, Aug 26 2024 *)

A021239 Decimal expansion of 1/235.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

Join[{0,0},RealDigits[1/235,10,120][[1]]]  (* Harvey P. Dale, Apr 02 2011 *)
realDigitsRecip[235] (* The realDigitsRecip program is at A021200 *) (* Harvey P. Dale, Aug 28 2024 *)

A021292 Decimal expansion of 1/288.

Original entry on oeis.org

0, 0, 3, 4, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2

Offset: 0

N. J. A. Sloane

			0.00347222222222222222222222222222...

Index entries for linear recurrences with constant coefficients, signature (1).

Cf. A021148 (1/144).

Join[{0, 0}, RealDigits[1/288, 10, 96][[1]]] (* Alonso del Arte, Apr 24 2018 *)
realDigitsRecip[288] (* The realDigitsRecip program is at A021200 *) (* Harvey P. Dale, Aug 18 2025 *)

PARI
```
1/288. \\ Altug Alkan, Apr 24 2018
```

From Elmo R. Oliveira, Aug 05 2024: (Start)
G.f.: x^2*(3 + x + 3*x^2 - 5*x^3)/(1 - x).
a(n) = 2, n >= 5. (End)

A021308 Decimal expansion of 1/304.

Original entry on oeis.org

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

Offset: 0

N. J. A. Sloane

			0.00328947368421052631578947368421...

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,-1,1).

Cf. A007450, A021156.

realDigitsRecip[304] (* The realDigitsRecip program is at A021200 *) (* Harvey P. Dale, Jul 18 2025 *)

From Chai Wah Wu, Apr 18 2024: (Start)
a(n) = a(n-1) - a(n-9) + a(n-10) for n > 13.
G.f.: x^2*(-5*x^11 + 3*x^10 + x^9 - 2*x^8 - 3*x^7 + 4*x^6 - 3*x^5 + 5*x^4 - x^3 - 6*x^2 + x - 3)/(x^10 - x^9 + x - 1). (End)

cp's OEIS Frontend

A021127 Decimal expansion of 1/123.

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A021133 Decimal expansion of 1/129.

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A021151 Decimal expansion of 1/147.

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A021165 Decimal expansion of 1/161.

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A021179 Decimal expansion of 1/175.

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A021198 Decimal expansion of 1/194.

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A021217 Decimal expansion of 1/213.

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A021239 Decimal expansion of 1/235.

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A021292 Decimal expansion of 1/288.

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A021308 Decimal expansion of 1/304.

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