A017983 -id:A017983 - cp's OEIS frontend

A018025 Powers of cube root of 17 rounded to nearest integer.

1, 3, 7, 17, 44, 112, 289, 743, 1911, 4913, 12633, 32482, 83521, 214756, 552198, 1419857, 3650852, 9387369, 24137569, 62064487, 159585272, 410338673, 1055096276, 2712949630, 6975757441, 17936636689, 46120143717, 118587876497, 304922823712, 784042443182

Offset: 0

N. J. A. Sloane

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Cf. A010589, A018024, A018026, and powers of cube root of k rounded up: A017980 (k=2), A017983 (k=3), A017986 (k=4), A017989 (k=5), A017992 (k=6), A017995 (k=7), A018001 (k=9), A018004 (k=10), A018007 (k=11), A018010 (k=12), A018013 (k=13), A018016 (k=14), A018019 (k=15), A018022 (k=16), this sequence (k=17), A018028 (k=18), A018031 (k=19), A018034 (k=20), A018037 (k=21), A018040 (k=22), A018043 (k=23), A018046 (k=24).

[Round(17^(n/3)): n in [0..40]]; // Vincenzo Librandi, Jan 08 2014

Table[Round[17^(n/3)], {n, 0, 40}] (* Vincenzo Librandi, Jan 08 2014 *)

a(n) = round((17^(1/3))^n); \\ Michel Marcus, Nov 23 2013

from sympy import integer_nthroot
def A018025(n): return -integer_nthroot(m:=17**n,3)[0]+integer_nthroot(m<<3,3)[0] # Chai Wah Wu, Jun 18 2024

More terms from Michel Marcus, Nov 23 2013

A018007 Powers of cube root of 11 rounded to nearest integer.

Original entry on oeis.org

1, 2, 5, 11, 24, 54, 121, 269, 598, 1331, 2960, 6583, 14641, 32561, 72416, 161051, 358174, 796572, 1771561, 3939916, 8762296, 19487171, 43339080, 96385252, 214358881, 476729884, 1060237770, 2357947691, 5244028719, 11662615466, 25937424601, 57684315913

Offset: 0

N. J. A. Sloane

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Cf. A018006, and powers of cube root of k rounded up: A017980 (k=2), A017983 (k=3), A017986 (k=4), A017989 (k=5), A017992 (k=6), A017995 (k=7), A018001 (k=9), A018004 (k=10), this sequence (k=11), A018010 (k=12), A018013 (k=13), A018016 (k=14), A018019 (k=15), A018022 (k=16), A018025 (k=17), A018028 (k=18), A018031 (k=19), A018034 (k=20), A018037 (k=21), A018040 (k=22), A018043 (k=23), A018046 (k=24).

[Round(11^(n/3)): n in [0..50]]; // Vincenzo Librandi, Jan 08 2014

A018007:=n->round(11^(n/3)); seq(A018007(n), n=0..50); # Wesley Ivan Hurt, Dec 21 2013

Table[Round[11^(n/3)], {n, 0, 50}] (* Wesley Ivan Hurt, Dec 21 2013 *)

a(n) = round( 11^(n/3) ). - Wesley Ivan Hurt, Dec 21 2013

More terms from Vincenzo Librandi, Jan 08 2014

A018010 Powers of cube root of 12 rounded to nearest integer.

Original entry on oeis.org

1, 2, 5, 12, 27, 63, 144, 330, 755, 1728, 3956, 9057, 20736, 47474, 108687, 248832, 569683, 1304249, 2985984, 6836197, 15650984, 35831808, 82034362, 187811805, 429981696, 984412343, 2253741659, 5159780352, 11812948115, 27044899907, 61917364224

Offset: 0

N. J. A. Sloane

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Cf. powers of cube root of k rounded up: A017980 (k=2), A017983 (k=3), A017986 (k=4), A017989 (k=5), A017992 (k=6), A017995 (k=7), A018001 (k=9), A018004 (k=10), A018007 (k=11), this sequence (k=12), A018013 (k=13), A018016 (k=14), A018019 (k=15), A018022 (k=16), A018025 (k=17), A018028 (k=18), A018031 (k=19), A018034 (k=20), A018037 (k=21), A018040 (k=22), A018043 (k=23), A018046 (k=24).

[Round(12^(n/3)): n in [0..40]]; // Vincenzo Librandi, Jan 08 2014

Table[Round[12^(n/3)], {n, 0, 40}] (* Vincenzo Librandi, Jan 08 2014 *)

from sympy import integer_nthroot
def A018010(n): return -integer_nthroot(m:=3**n<<(n<<1),3)[0]+integer_nthroot(m<<3,3)[0] # Chai Wah Wu, Jun 18 2024

More terms from Vincenzo Librandi, Jan 08 2014

A017980 Powers of cube root of 2 rounded to nearest integer.

Original entry on oeis.org

1, 1, 2, 2, 3, 3, 4, 5, 6, 8, 10, 13, 16, 20, 25, 32, 40, 51, 64, 81, 102, 128, 161, 203, 256, 323, 406, 512, 645, 813, 1024, 1290, 1625, 2048, 2580, 3251, 4096, 5161, 6502, 8192, 10321, 13004, 16384, 20643, 26008, 32768, 41285, 52016, 65536, 82570, 104032

Offset: 0

N. J. A. Sloane

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Cf. powers of cube root of k rounded up: this sequence (k=2), A017983 (k=3), A017986 (k=4), A017989 (k=5), A017992 (k=6), A017995 (k=7), A018001 (k=9), A018004 (k=10), A018007 (k=11), A018010 (k=12), A018013 (k=13), A018016 (k=14), A018019 (k=15), A018022 (k=16), A018025 (k=17), A018028 (k=18), A018031 (k=19), A018034 (k=20), A018037 (k=21), A018040 (k=22), A018043 (k=23), A018046 (k=24).

[Round(2^(n/3)): n in [0..50]]; // Vincenzo Librandi, Jan 07 2014

Table[Round[2^(n/3)], {n, 0, 50}] (* Vincenzo Librandi, Jan 07 2014 *)
Round[Surd[2,3]^Range[0,50]] (* Harvey P. Dale, Oct 07 2014 *)

from sympy import integer_nthroot
def A017980(n): return -integer_nthroot(m:=1<Chai Wah Wu, Jun 18 2024

More terms from Vincenzo Librandi, Jan 07 2014

A017986 Powers of cube root of 4 rounded to nearest integer.

Original entry on oeis.org

1, 2, 3, 4, 6, 10, 16, 25, 40, 64, 102, 161, 256, 406, 645, 1024, 1625, 2580, 4096, 6502, 10321, 16384, 26008, 41285, 65536, 104032, 165140, 262144, 416128, 660561, 1048576, 1664511, 2642246, 4194304, 6658043, 10568984, 16777216, 26632170, 42275935

Offset: 0

N. J. A. Sloane

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Cf. powers of cube root of k rounded up: A017980 (k=2), A017983 (k=3), this sequence (k=4), A017989 (k=5), A017992 (k=6), A017995 (k=7), A018001 (k=9), A018004 (k=10), A018007 (k=11), A018010 (k=12), A018013 (k=13), A018016 (k=14), A018019 (k=15), A018022 (k=16), A018025 (k=17), A018028 (k=18), A018031 (k=19), A018034 (k=20), A018037 (k=21), A018040 (k=22), A018043 (k=23), A018046 (k=24).

[Round(4^(n/3)): n in [0..50]]; // Vincenzo Librandi, Jan 07 2014

Table[Round[4^(n/3)], {n, 0, 40}] (* Vincenzo Librandi, Jan 07 2014 *)
Round[Surd[4,3]^Range[0,40]] (* Harvey P. Dale, Jan 02 2017 *)

vector(50, n, n--; round(4^(n/3))) \\ Altug Alkan, Nov 25 2015

More terms from Vincenzo Librandi, Jan 07 2014

A017989 Powers of cube root of 5 rounded to nearest integer.

Original entry on oeis.org

1, 2, 3, 5, 9, 15, 25, 43, 73, 125, 214, 366, 625, 1069, 1828, 3125, 5344, 9138, 15625, 26718, 45688, 78125, 133592, 228439, 390625, 667959, 1142194, 1953125, 3339797, 5710972, 9765625, 16698984, 28554861, 48828125, 83494919, 142774304, 244140625, 417474596

Offset: 0

N. J. A. Sloane

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Cf. powers of cube root of k rounded up: A017980 (k=2), A017983 (k=3), A017986 (k=4), this sequence (k=5), A017992 (k=6), A017995 (k=7), A018001 (k=9), A018004 (k=10), A018007 (k=11), A018010 (k=12), A018013 (k=13), A018016 (k=14), A018019 (k=15), A018022 (k=16), A018025 (k=17), A018028 (k=18), A018031 (k=19), A018034 (k=20), A018037 (k=21), A018040 (k=22), A018043 (k=23), A018046 (k=24).

[Round(5^(n/3)): n in [0..50]]; // Vincenzo Librandi, Jan 07 2014

Table[Round[5^(n/3)], {n, 0, 40}] (* Vincenzo Librandi, Jan 07 2014 *)
Round[Surd[5,3]^Range[0,40]] (* Harvey P. Dale, Mar 24 2018 *)

More terms from Vincenzo Librandi, Jan 07 2014

A017992 Powers of cube root of 6 rounded to nearest integer.

Original entry on oeis.org

1, 2, 3, 6, 11, 20, 36, 65, 119, 216, 392, 713, 1296, 2355, 4279, 7776, 14130, 25676, 46656, 84780, 154055, 279936, 508677, 924328, 1679616, 3052065, 5545970, 10077696, 18312389, 33275819, 60466176, 109874334, 199654914, 362797056, 659246001

Offset: 0

N. J. A. Sloane

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Cf. powers of cube root of k rounded up: A017980 (k=2), A017983 (k=3), A017986 (k=4), A017989 (k=5), this sequence(k=6), A017995 (k=7), A018001 (k=9), A018004 (k=10), A018007 (k=11), A018010 (k=12), A018013 (k=13), A018016 (k=14), A018019 (k=15), A018022 (k=16), A018025 (k=17), A018028 (k=18), A018031 (k=19), A018034 (k=20), A018037 (k=21), A018040 (k=22), A018043 (k=23), A018046 (k=24).

[Round(6^(n/3)): n in [0..50]]; // Vincenzo Librandi, Jan 07 2014

Table[Round[6^(n/3)], {n, 0, 40}] (* Vincenzo Librandi, Jan 07 2014 *)

More terms from Vincenzo Librandi, Jan 07 2014

A017995 Powers of cube root of 7 rounded to nearest integer.

Original entry on oeis.org

1, 2, 4, 7, 13, 26, 49, 94, 179, 343, 656, 1255, 2401, 4593, 8786, 16807, 32151, 61502, 117649, 225054, 430514, 823543, 1575381, 3013596, 5764801, 11027668, 21095169, 40353607, 77193673, 147666185, 282475249, 540355712, 1033663292, 1977326743, 3782489985

Offset: 0

N. J. A. Sloane

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Cf. powers of cube root of k rounded up: A017980 (k=2), A017983 (k=3), A017986 (k=4), A017989 (k=5), A017992 (k=6), tjis sequence (k=7), A018001 (k=9), A018004 (k=10), A018007 (k=11), A018010 (k=12), A018013 (k=13), A018016 (k=14), A018019 (k=15), A018022 (k=16), A018025 (k=17), A018028 (k=18), A018031 (k=19), A018034 (k=20), A018037 (k=21), A018040 (k=22), A018043 (k=23), A018046 (k=24).

[Round(7^(n/3)): n in [0..50]]; // Vincenzo Librandi, Jan 07 2014

Table[Round[7^(n/3)], {n, 0, 50}] (* Vincenzo Librandi, Jan 07 2014 *)
Round[CubeRoot[7]^Range[0,40]] (* Harvey P. Dale, Aug 04 2023 *)

More terms from Vincenzo Librandi, Jan 07 2014

A018001 Powers of cube root of 9 rounded to nearest integer.

Original entry on oeis.org

1, 2, 4, 9, 19, 39, 81, 168, 350, 729, 1516, 3154, 6561, 13647, 28388, 59049, 122827, 255490, 531441, 1105442, 2299412, 4782969, 9948976, 20694705, 43046721, 89540788, 186252345, 387420489, 805867092, 1676271101, 3486784401, 7252803827, 15086439912

Offset: 0

N. J. A. Sloane

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Cf. powers of cube root of k rounded up: A017980 (k=2), A017983 (k=3), A017986 (k=4), A017989 (k=5), A017992 (k=6), A017995 (k=7), this sequence (k=9), A018004 (k=10), A018007 (k=11), A018010 (k=12), A018013 (k=13), A018016 (k=14), A018019 (k=15), A018022 (k=16), A018025 (k=17), A018028 (k=18), A018031 (k=19), A018034 (k=20), A018037 (k=21), A018040 (k=22), A018043 (k=23), A018046 (k=24).

[Round(9^(n/3)): n in [0..50]]; // Vincenzo Librandi, Jan 07 2014

Table[Round[9^(n/3)], {n, 0, 40}] (* Vincenzo Librandi, Jan 07 2014 *)

More terms from Vincenzo Librandi, Jan 07 2013

A018004 Powers of cube root of 10 rounded to nearest integer.

Original entry on oeis.org

1, 2, 5, 10, 22, 46, 100, 215, 464, 1000, 2154, 4642, 10000, 21544, 46416, 100000, 215443, 464159, 1000000, 2154435, 4641589, 10000000, 21544347, 46415888, 100000000, 215443469, 464158883, 1000000000, 2154434690, 4641588834, 10000000000, 21544346900

Offset: 0

N. J. A. Sloane

nonn

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Cf. powers of cube root of k rounded up: A017980 (k=2), A017983 (k=3), A017986 (k=4), A017989 (k=5), A017992 (k=6), A017995 (k=7), A018001 (k=9),this sequence (k=10), A018007 (k=11), A018010 (k=12), A018013 (k=13), A018016 (k=14), A018019 (k=15), A018022 (k=16), A018025 (k=17), A018028 (k=18), A018031 (k=19), A018034 (k=20), A018037 (k=21), A018040 (k=22), A018043 (k=23), A018046 (k=24).

[Round(10^(n/3)): n in [0..50]]; // Vincenzo Librandi, Jan 08 2014

Table[Round[10^(n/3)], {n, 0, 40}] (* Vincenzo Librandi, Jan 08 2014 *)

More terms from Vincenzo Librandi, Jan 08 2014

cp's OEIS Frontend

A018025 Powers of cube root of 17 rounded to nearest integer.

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A018007 Powers of cube root of 11 rounded to nearest integer.

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A018010 Powers of cube root of 12 rounded to nearest integer.

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A017980 Powers of cube root of 2 rounded to nearest integer.

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A017986 Powers of cube root of 4 rounded to nearest integer.

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A017989 Powers of cube root of 5 rounded to nearest integer.

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A017992 Powers of cube root of 6 rounded to nearest integer.

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A017995 Powers of cube root of 7 rounded to nearest integer.

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