A053638 -id:A053638 - cp's OEIS frontend

A065482 a(n) = round( 2^n/n ).

2, 2, 3, 4, 6, 11, 18, 32, 57, 102, 186, 341, 630, 1170, 2185, 4096, 7710, 14564, 27594, 52429, 99864, 190650, 364722, 699051, 1342177, 2581110, 4971027, 9586981, 18512790, 35791394, 69273666, 134217728, 260301048, 505290270, 981706811, 1908874354, 3714566310

Offset: 1

N. J. A. Sloane, Dec 03 2001

nonn

Harry J. Smith, Table of n, a(n) for n = 1..300

Cf. A000799, A053638, A082893-A082900.

[Round(2^n/n): n in [1..30]]; // G. C. Greubel, Jan 18 2018

Table[Floor[(Floor[n/2]+2^n)/n], {n, 1, 100}]

a(n) = { round(2^n/n) } \\ Harry J. Smith, Oct 20 2009

def A065482(n): return ((1<>1))//n # Chai Wah Wu, Apr 23 2025

a(n) = A082894(n)/n.

a(n) = floor((2^n + floor(n/2))/n).

A128093 a(n) = smallest multiple of n which is >= 2^n.

Original entry on oeis.org

2, 4, 9, 16, 35, 66, 133, 256, 513, 1030, 2057, 4104, 8203, 16394, 32775, 65536, 131087, 262152, 524305, 1048580, 2097165, 4194322, 8388629, 16777224, 33554450, 67108886, 134217729, 268435468, 536870939, 1073741850, 2147483677

Offset: 1

Leroy Quet, Feb 14 2007

nonn

G. C. Greubel, Table of n, a(n) for n = 1..1000

Cf. A128092, A053638.

f[n_] := n*Ceiling[2^n/n];Array[f, 33] (* Ray Chandler, Feb 19 2007 *)

def A128093(n): return (m:=1<Chai Wah Wu, Aug 24 2023

a(n) = n * ceiling(2^n/n) = n * A053638(n).

Extended by Ray Chandler, Feb 19 2007

A129787 Ceiling(3^n/n).

Original entry on oeis.org

3, 5, 9, 21, 49, 122, 313, 821, 2187, 5905, 16105, 44287, 122641, 341641, 956594, 2690421, 7596481, 21523361, 61171657, 174339221, 498112058, 1426411801, 4093181689, 11767897354, 33891544378, 97764070321, 282429536481

Offset: 1

Mohammad K. Azarian, May 18 2007

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A053638.

[Ceiling(3^n / n): n in [1..35]]; // Vincenzo Librandi, Feb 12 2013

Table[Ceiling[3^n / n], {n, 30}] (* Vincenzo Librandi, Feb 12 2013 *)

A129788 a(n) = ceiling(4^n/n).

Original entry on oeis.org

4, 8, 22, 64, 205, 683, 2341, 8192, 29128, 104858, 381301, 1398102, 5162221, 19173962, 71582789, 268435456, 1010580541, 3817748708, 14467258261, 54975581389, 209430786244, 799644820201, 3059510616421, 11728124029611

Offset: 1

Mohammad K. Azarian, May 18 2007

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A053638.

[Ceiling(4^n/n):n in [1..30]]; // Vincenzo Librandi, Oct 03 2011

Table[Ceiling[4^n/n],{n,30}] (* Harvey P. Dale, Jan 21 2012 *)

A129789 a(n) = ceiling(5^n/n).

Original entry on oeis.org

5, 13, 42, 157, 625, 2605, 11161, 48829, 217014, 976563, 4438921, 20345053, 93900241, 435965402, 2034505209, 9536743165, 44878791361, 211927625869, 1003867701481, 4768371582032, 22706531343006, 108372081409802

Offset: 1

Mohammad K. Azarian, May 18 2007

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A053638.

[Ceiling(5^n/n):n in [1..30]]; // Vincenzo Librandi, Oct 03 2011

A129790 a(n) = ceiling(6^n/n).

Original entry on oeis.org

6, 18, 72, 324, 1556, 7776, 39991, 209952, 1119744, 6046618, 32981551, 181398528, 1004668771, 5597440293, 31345665639, 176319369216, 995685849691, 5642219814912, 32071565263711, 182807922003149, 1044616697160851

Offset: 1

Mohammad K. Azarian, May 18 2007

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A053638.

[Ceiling(6^n/n):n in [1..30]]; // Vincenzo Librandi, Oct 03 2011

A129791 a(n) = ceiling(7^n/n).

Original entry on oeis.org

7, 25, 115, 601, 3362, 19609, 117649, 720601, 4483735, 28247525, 179756977, 1153440601, 7453000801, 48444505204, 316504100663, 2077058160601, 13684147881601, 90467422106137, 599941851861745, 3989613314880601

Offset: 1

Mohammad K. Azarian, May 18 2007

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A053638.

[Ceiling(7^n/n):n in [1..20]]; // Vincenzo Librandi, Oct 03 2011

Table[Ceiling[7^n/n],{n,20}] (* Harvey P. Dale, May 22 2020 *)

A129792 a(n) = ceiling(8^n/n).

Original entry on oeis.org

8, 32, 171, 1024, 6554, 43691, 299594, 2097152, 14913081, 107374183, 780903145, 5726623062, 42288908761, 314146179365, 2345624805923, 17592186044416, 132458812569721, 1000799917193444, 7585009898729257

Offset: 1

Mohammad K. Azarian, May 18 2007

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A053638.

[Ceiling(8^n/n):n in [1..20]]; // Vincenzo Librandi, Oct 03 2011

With[{nn=20},Ceiling[8^Range[nn]/Range[nn]]] (* Harvey P. Dale, Feb 19 2014 *)

A129793 a(n) = ceiling(9^n/n).

Original entry on oeis.org

9, 41, 243, 1641, 11810, 88574, 683282, 5380841, 43046721, 348678441, 2852823601, 23535794707, 195528140641, 1634056603926, 13726075472977, 115813761803241, 981010688215681, 8338590849833285, 71097458824894321

Offset: 1

Mohammad K. Azarian, May 18 2007

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Cf. A053638.

[Ceiling(9^n/n):n in [1..20]]; // Vincenzo Librandi, Oct 03 2011

Table[Ceiling[9^n/n],{n,20}] (* Harvey P. Dale, Oct 04 2016 *)

A373895 a(n) = ceiling((2^n+n-1)/n).

Original entry on oeis.org

2, 3, 4, 5, 8, 12, 20, 33, 58, 104, 188, 343, 632, 1172, 2186, 4097, 7712, 14565, 27596, 52430, 99866, 190652, 364724, 699052, 1342179, 2581112, 4971028, 9586982, 18512792, 35791396, 69273668, 134217729, 260301050, 505290272, 981706812, 1908874355, 3714566312, 7233629132, 14096302922, 27487790696

Offset: 1

Eric W. Weisstein, Jun 21 2024

a(n) is the irregularity strength of the hypercube graph Q_n for n >= 2.

Michael De Vlieger, Table of n, a(n) for n = 1..3333
G. Ebert, J. Hammenter, F. Lazebnik, and A. Woldar, Irregularity Strengths for Certain Graphs, Congressus Numerantium 71 (1990), 39-52.
Eric Weisstein's World of Mathematics, Hypercube Graph.
Eric Weisstein's World of Mathematics, Irregularity Strength.

Cf. A052944, A053638, A082482.

Array[Ceiling[(2^# + # - 1)/#] &, 120] (* Michael De Vlieger, Jun 21 2024 *)

cp's OEIS Frontend

A065482 a(n) = round( 2^n/n ).

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A128093 a(n) = smallest multiple of n which is >= 2^n.

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A129787 Ceiling(3^n/n).

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Magma

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A129788 a(n) = ceiling(4^n/n).

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Magma

Mathematica

A129789 a(n) = ceiling(5^n/n).

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Magma

A129790 a(n) = ceiling(6^n/n).

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Magma

A129791 a(n) = ceiling(7^n/n).

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Magma

Mathematica

A129792 a(n) = ceiling(8^n/n).

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Keywords

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Programs

Magma

Mathematica

A129793 a(n) = ceiling(9^n/n).

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Keywords