cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-8 of 8 results.

A018852 a(n)^3 is smallest cube beginning with n.

Original entry on oeis.org

0, 1, 3, 7, 16, 8, 4, 9, 2, 21, 10, 48, 5, 11, 52, 25, 55, 12, 57, 27, 59, 6, 61, 62, 29, 63, 64, 3, 66, 31, 67, 68, 32, 15, 7, 33, 154, 72, 73, 34, 16, 161, 35, 76, 164, 77, 36, 78, 169, 17, 37, 8, 174, 81, 38, 82, 178, 83, 18, 39, 182, 85, 184, 86, 4, 87, 188, 189, 19, 191, 89, 193, 9
Offset: 0

Views

Author

David W. Wilson

Keywords

Links

Crossrefs

Cf. A018797.
Cf. A018851 (k=2), this sequence (k=3), A018853 (k=4), A018872 (k=5), A018874 (k=6), A018876 (k=7), A018878 (k=8), A018880 (k=9), A018882 (k=10).

Programs

  • Maple
    f:= proc(n) local d,m;
  for d from 0 do
    m:= ceil((10^d*n)^(1/3));
    if m^3 < 10^d*(n+1) then return m fi
  od
end proc:
map(f, [$1..100]); # Robert Israel, Jul 26 2015
  • PARI
    a(n)=k=1;while(k,d=digits(k^3);D=digits(n);if(#D<=#d,c=1;for(i=1,#D,if(D[i]!=d[i],c=0;break));if(c,return(k)));k++)
vector(100,n,a(n)) \\ Derek Orr, Jul 26 2015
  • Python
    for n in range(1,10**3):
    for k in range(10**3):
        if str(k**3).startswith(str(n)):
            print(k,end=', ')
            break
    n += 1 # Derek Orr, Aug 03 2014

Formula

a(n) >= n^(1/3), for all n > 0, with equality when n is a cube. - Derek Orr, Jul 26 2015

Extensions

0 prepended by Seiichi Manyama, Jan 30 2017

A018853 a(n)^4 is smallest fourth power beginning with n.

Original entry on oeis.org

0, 1, 4, 14, 8, 15, 5, 29, 3, 31, 10, 33, 6, 19, 11, 35, 2, 65, 37, 21, 12, 68, 69, 22, 7, 4, 72, 23, 13, 74, 132, 42, 134, 24, 43, 77, 138, 44, 14, 25, 8, 45, 144, 81, 46, 26, 147, 83, 47, 84, 15, 151, 85, 27, 86, 273, 154, 49, 276, 88, 157, 28, 5, 159, 283, 9, 286, 51, 91, 289, 29
Offset: 0

Views

Author

David W. Wilson

Keywords

Links

Crossrefs

Cf. A018798 (a(n)^4).
Cf. A018851 (k=2), A018852 (k=3), this sequence (k=4), A018872 (k=5), A018874 (k=6), A018876 (k=7), A018878 (k=8), A018880 (k=9), A018882 (k=10).

Programs

  • PARI
    v=[]; k=1; while(#v<100, d=digits(k^4); D=digits(#v+1); if(#D<=#d, c=1; for(i=1, #D, if(D[i]!=d[i], c=0; break)); if(c, v=concat(v, k); k=0)); k++); v \\ Derek Orr, Aug 12 2015

Formula

a(n^4) = n for n >= 0. - Seiichi Manyama, Jan 30 2017

Extensions

Added initial 0. - Seiichi Manyama, Jan 30 2017

A018872 a(n)^5 is smallest fifth power beginning with n.

Original entry on oeis.org

0, 1, 3, 2, 21, 9, 23, 6, 61, 25, 4, 26, 66, 42, 17, 69, 7, 28, 18, 72, 29, 116, 47, 75, 3, 48, 192, 77, 31, 124, 79, 5, 2, 32, 51, 129, 205, 13, 52, 33, 21, 53, 212, 134, 85, 34, 136, 86, 137, 87, 55, 22, 35, 14, 352, 56, 224, 142, 226, 9, 36, 144, 91, 363, 23, 58, 146, 232, 147, 37
Offset: 0

Views

Author

David W. Wilson

Keywords

Links

Crossrefs

Cf. A018851 (k=2), A018852 (k=3), A018853 (k=4), this sequence (k=5), A018874 (k=6), A018876 (k=7), A018878 (k=8), A018880 (k=9), A018882 (k=10).

Programs

  • PARI
    a(n) = my(k=0, ss=Str(n)); while(strsplit(Str(k^5), ss)[1] != "", k++); k; \\ Michel Marcus, Aug 19 2025

Formula

a(n^5) = n for n >= 0. - Seiichi Manyama, Jan 30 2017

Extensions

Added initial 0. - Seiichi Manyama, Jan 30 2017

A018874 a(n)^6 is smallest sixth power beginning with n.

Original entry on oeis.org

0, 1, 8, 18, 4, 9, 2, 3, 21, 46, 10, 7, 33, 49, 23, 5, 16, 11, 35, 24, 77, 36, 53, 115, 17, 37, 8, 55, 81, 12, 26, 121, 83, 263, 18, 39, 124, 85, 27, 271, 4, 127, 59, 87, 188, 189, 6, 19, 13, 89, 131, 61, 132, 9, 42, 133, 62, 134, 197, 29, 92, 292, 63, 43, 2, 201, 137, 202, 64, 138
Offset: 0

Views

Author

David W. Wilson

Keywords

Links

Crossrefs

Cf. A018851 (k=2), A018852 (k=3), A018853 (k=4), A018872 (k=5), this sequence (k=6), A018876 (k=7), A018878 (k=8), A018880 (k=9), A018882 (k=10).

Formula

a(n^6) = n for n >= 0. - Seiichi Manyama, Jan 30 2017

Extensions

Added initial 0. - Seiichi Manyama, Jan 30 2017

A018878 a(n)^8 is smallest eighth power beginning with n.

Original entry on oeis.org

0, 1, 2, 5, 9, 7, 3, 23, 13, 42, 10, 18, 58, 78, 14, 25, 6, 34, 81, 61, 26, 11, 35, 47, 63, 2, 113, 85, 27, 86, 115, 65, 87, 49, 277, 37, 66, 21, 158, 5, 67, 283, 12, 9, 286, 51, 287, 91, 289, 122, 29, 69, 123, 39, 22, 93, 221, 7, 222, 125, 94, 223, 53, 126, 71, 3, 95, 127, 226, 17
Offset: 0

Views

Author

David W. Wilson

Keywords

Comments

a(2)=2, because 2^8=256 is the first 8th power with the most significant decimal digit equal to 2;
a(16)=6, because 6^8=1679616 is the first 8th power with two most significant decimal digits equal to 16.

Links

Crossrefs

Cf. A018851 (k=2), A018852 (k=3), A018853 (k=4), A018872 (k=5), A018874 (k=6), A018876 (k=7), this sequence (k=8), A018880 (k=9), A018882 (k=10).

Formula

a(n^8) = n for n >= 0. - Seiichi Manyama, Jan 30 2017

Extensions

Added initial 0. - Seiichi Manyama, Jan 30 2017

A018880 a(n)^9 is smallest ninth power beginning with n.

Original entry on oeis.org

0, 1, 4, 9, 7, 2, 16, 21, 59, 46, 6, 17, 22, 8, 29, 63, 38, 137, 23, 3, 14, 109, 141, 11, 184, 86, 4, 52, 87, 188, 113, 68, 19, 191, 148, 32, 149, 193, 9, 54, 7, 117, 91, 152, 118, 71, 33, 92, 154, 332, 43, 2, 93, 201, 26, 121, 261, 94, 73, 122, 34, 44, 264, 57, 123, 343, 74, 344, 16
Offset: 0

Views

Author

David W. Wilson

Keywords

Links

Crossrefs

Cf. A018851 (k=2), A018852 (k=3), A018853 (k=4), A018872 (k=5), A018874 (k=6), A018876 (k=7), A018878 (k=8), this sequence (k=9), A018882 (k=10).

Formula

a(n^9) = n for n >= 0. - Seiichi Manyama, Jan 30 2017

Extensions

Added initial 0. - Seiichi Manyama, Jan 30 2017

A018882 a(n)^10 is smallest tenth power beginning with n.

Original entry on oeis.org

0, 1, 7, 9, 23, 3, 6, 49, 31, 5, 2, 32, 81, 13, 26, 33, 21, 42, 67, 85, 17, 43, 86, 109, 69, 11, 22, 35, 7, 28, 56, 89, 71, 113, 9, 18, 36, 72, 91, 182, 115, 23, 29, 58, 116, 232, 185, 147, 37, 74, 148, 59, 47, 94, 375, 188, 75, 15, 189, 3, 6, 12, 38, 24, 48, 152, 96, 121, 192, 305
Offset: 0

Views

Author

David W. Wilson

Keywords

Links

Crossrefs

Cf. A018851 (k=2), A018852 (k=3), A018853 (k=4), A018872 (k=5), A018874 (k=6), A018876 (k=7), A018878 (k=8), A018880 (k=9), this sequence (k=10).

Formula

a(n^10) = n for n >= 0. - Seiichi Manyama, Jan 30 2017

Extensions

Added initial 0. - Seiichi Manyama, Jan 30 2017

A018875 Smallest seventh power that begins with n.

Original entry on oeis.org

0, 1, 2187, 35831808, 4782969, 52523350144, 62748517, 78125, 823543, 94931877133, 10000000, 114415582592, 128, 13492928512, 14645194571776, 1522435234375, 16384, 170859375, 1801088541, 19487171, 2097152, 2187, 2207984167552
Offset: 0

Views

Author

David W. Wilson

Keywords

Links

Crossrefs

Cf. A018876.

Formula

a(n) = A018876(n)^7. - Seiichi Manyama, Jan 30 2017

Extensions

Added initial 0. - Seiichi Manyama, Jan 30 2017
Showing 1-8 of 8 results.

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