A014058 -id:A014058 - cp's OEIS frontend

A197908 Ceiling((n+1/n)^9).

512, 3815, 50806, 452377, 2779906, 12895978, 48400259, 154315776, 432655359, 1093685273, 2539243268, 5491371251, 11182788770, 21629362254, 40008716649, 71173490664, 122332454248, 203937787268, 330822261551, 523635874527, 810637651663, 1229904866746

Offset: 1

Vincenzo Librandi, Oct 19 2011

Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

Cf. A014058.

Magma
```
[Ceiling((n+1/n)^9): n in [1..40]]
```

a(n)=ceil((n+1/n)^9) \\ Charles R Greathouse IV, Dec 27 2011

For n > 126, a(n) = n^9 + 9n^7 + 36n^5 + 84n^3 + 126n + 2. - Charles R Greathouse IV, Dec 27 2011

A197909 Ceiling((n+1/n)^10).

Original entry on oeis.org

1024, 9537, 169351, 1922602, 14455511, 79525194, 345716131, 1253815680, 3941971041, 11046221255, 28162516240, 66354069278, 146236468528, 304356025990, 602797997503, 1143224193789, 2086847748927, 3682210047877, 6303034667439, 10498899284253, 17061992477839

Offset: 1

Vincenzo Librandi, Oct 19 2011

Vincenzo Librandi, Table of n, a(n) for n = 1..10000
Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Cf. A014058.

Magma
```
[Ceiling((n+1/n)^10): n in [1..30]]
```

Table[Ceiling[(n+1/n)^10],{n,30}] (* Harvey P. Dale, Jun 19 2012 *)

a(n)=ceil((n+1/n)^10) \\ Charles R Greathouse IV, Dec 27 2011

For n > 14, a(n) = n^10 + 10n^8 + 45n^6 + 120n^4 + 210n^2 + 253. - Charles R Greathouse IV, Dec 27 2011

A197767 Ceiling((7*n+1/n)^n).

Original entry on oeis.org

8, 211, 9710, 636904, 54039749, 5621026397, 692186010835, 98457959756723, 15883727818630152, 2865366503771469411, 571524481184700575470, 124887520213444076248620, 29669385469799155774434099, 7613687050766411443598268999

Offset: 1

Vincenzo Librandi, Oct 19 2011

nonn

Vincenzo Librandi, Table of n, a(n) for n = 1..300

Cf. A014058, A197716, A197717, A197764, A197765, A197766

Magma
```
[Ceiling((7*n+1/n)^n): n in [1..20]]
```

Table[Ceiling[(7n+1/n)^n],{n,20}] (* Harvey P. Dale, Jul 19 2024 *)

A197768 Ceiling((8*n+1/n)^n).

Original entry on oeis.org

9, 273, 14409, 1081731, 104985729, 12487616539, 1758172862980, 285903205720513, 52725376090628156, 10872393464815690144, 2478802987043990078457, 619122710473385614426210, 168115507427305189329095428, 49309285630177314887251611601

Offset: 1

Vincenzo Librandi, Oct 19 2011

nonn

Vincenzo Librandi, Table of n, a(n) for n = 1..250

Cf. A014058, A197716, A197717, A197764, A197765, A197766

Magma
```
[Ceiling((8*n+1/n)^n): n in [1..20]]
```

A197769 a(n) = ceiling((9*n+1/n)^n).

Original entry on oeis.org

10, 343, 20422, 1726761, 188665363, 25257633874, 4001931082418, 732295911309957, 151957855559538859, 35257207352182955135, 9044237131202445725078, 2541585712463861383036827, 776473970630759909605090448, 256232041409079180707274204958

Offset: 1

Vincenzo Librandi, Oct 19 2011

nonn

Vincenzo Librandi, Table of n, a(n) for n = 1..250

Cf. A014058, A197716, A197717, A197764, A197765, A197766.

Magma
```
[Ceiling((9*n+1/n)^n): n in [1..20]];
```

Table[Ceiling[(9n+1/n)^n],{n,20}] (* Harvey P. Dale, Nov 30 2024 *)

A197770 Ceiling((10*n+1/n)^n).

Original entry on oeis.org

11, 421, 27911, 2624603, 318800201, 47439020042, 8353801755007, 1698808167100876, 391746480089540116, 101004512021025221013, 28791615763253886202481, 8990685731188213404550239, 3052132045866636492112058600, 1119164206256115117485135326642, 440822282742124422495281791483359

Offset: 1

Vincenzo Librandi, Oct 19 2011

Vincenzo Librandi, Table of n, a(n) for n = 1..250

Cf. A014058, A197716, A197717, A197764, A197765, A197766.

Magma
```
[Ceiling((10*n+1/n)^n): n in [1..20]]
```

A197770:=n->ceil((10*n+1/n)^n); seq(A197770(n), n=1..20); # Wesley Ivan Hurt, Jun 14 2014

Table[Ceiling[(10n+1/n)^n],{n,20}] (* Harvey P. Dale, Dec 03 2012 *)

A197771 Ceiling((11*n+1/n)^n).

Original entry on oeis.org

12, 507, 37038, 3834009, 512501793, 83914215403, 16258109291003, 3637416562713076, 922786228220640102, 261741863272493596615, 82078032321730681299098, 28195269239973685901676783, 10529425953839699619063326836

Offset: 1

Vincenzo Librandi, Oct 19 2011

nonn

Vincenzo Librandi, Table of n, a(n) for n = 1..250

Cf. A014058, A197716, A197717, A197764, A197765, A197766

Magma
```
[Ceiling((11*n+1/n)^n): n in [1..20]]
```

Table[Ceiling[((11n+1/n))^n],{n,20}] (* Harvey P. Dale, Feb 02 2014 *)

A197773 Ceiling((n+1/n)^3).

Original entry on oeis.org

8, 16, 38, 77, 141, 235, 365, 537, 757, 1031, 1365, 1765, 2237, 2787, 3421, 4145, 4965, 5887, 6917, 8061, 9325, 10715, 12237, 13897, 15701, 17655, 19765, 22037, 24477, 27091, 29885, 32865, 36037, 39407, 42981, 46765, 50765, 54987, 59437, 64121, 69045, 74215

Offset: 1

Vincenzo Librandi, Oct 19 2011

nonn

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Cf. A005491, A014058

Magma
```
[Ceiling((n+1/n)^3): n in [1..60]]
```

A197903 Ceiling((n+1/n)^4).

Original entry on oeis.org

16, 40, 124, 327, 732, 1447, 2604, 4359, 6892, 10407, 15132, 21319, 29244, 39207, 51532, 66567, 84684, 106279, 131772, 161607, 196252, 236199, 281964, 334087, 393132, 459687, 534364, 617799, 710652, 813607, 927372, 1052679, 1190284, 1340967, 1505532, 1684807

Offset: 1

Vincenzo Librandi, Oct 19 2011

nonn

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Cf. A014058

Magma
```
[Ceiling((n+1/n)^4): n in [1..50]]
```

Table[Ceiling[(n+1/n)^4],{n,40}] (* Harvey P. Dale, Apr 09 2015 *)

a(n) = n^4 +4*n^2 +7, n>=3.

G.f.: (x^6-x^5-17*x^4+53*x^3-84*x^2+40*x-16)/(x-1)^5. - Harvey P. Dale, Apr 09 2015

A197905 Ceiling((n+1/n)^6).

Original entry on oeis.org

64, 245, 1372, 5893, 19771, 54993, 132811, 287701, 572043, 1061521, 1861243, 3112581, 5000731, 7762993, 11697771, 17174293, 24643051, 34646961, 47833243, 64966021, 86939643, 114792721, 149722891, 193102293, 246493771, 311667793, 390620091, 485590021

Offset: 1

Vincenzo Librandi, Oct 19 2011

nonn

Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Cf. A014058.

Magma
```
[Ceiling((n+1/n)^6): n in [1..50]]
```

Table[Ceiling[(n+1/n)^6],{n,30}] (* Harvey P. Dale, May 17 2015 *)

cp's OEIS Frontend

A197908 Ceiling((n+1/n)^9).

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PARI

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A197909 Ceiling((n+1/n)^10).

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Mathematica

PARI

Formula

A197767 Ceiling((7*n+1/n)^n).

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Magma

Mathematica

A197768 Ceiling((8*n+1/n)^n).

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Magma

A197769 a(n) = ceiling((9*n+1/n)^n).

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Magma

Mathematica

A197770 Ceiling((10*n+1/n)^n).

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Maple

Mathematica

A197771 Ceiling((11*n+1/n)^n).

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Magma

Mathematica

A197773 Ceiling((n+1/n)^3).

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Programs

Magma

A197903 Ceiling((n+1/n)^4).

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