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 1-10 of 10 results.

A067502 Powers of 5 with digit sum also a power of 5.

Original entry on oeis.org

1, 5, 390625, 24308653429145084793531500210078610314805672534067059113676236776522261070450716567124784465334818816238150740449697195799672044813632965087890625
Offset: 1

Views

Author

Amarnath Murthy, Feb 11 2002

Keywords

Comments

Next terms are 5^977, 5^1007, 5^4938, 5^24709, 5^24733, 5^24853. - Sascha Kurz, Mar 18 2002

Crossrefs

Cf. A066001, A067499, A067500, A067501.

Programs

  • Mathematica
    Select[5^(Range[209]-1),IntegerQ[Log[5,Total[IntegerDigits[#]]]]&] (* Stefano Spezia, Dec 23 2022 *)

A067503 Powers of 6 with digit sum also a power of 6.

Original entry on oeis.org

1, 6, 279936, 1679616, 10077696, 60466176, 13060694016, 4849687664788584363858837602739217760256, 174588755932389037098918153698611839369216
Offset: 1

Views

Author

Amarnath Murthy, Feb 11 2002

Keywords

Crossrefs

Cf. A066002, A067499, A067500, A067501, A067502.

Programs

  • Mathematica
    Select[6^(Range[54]-1),IntegerQ[Log[6,Total[IntegerDigits[#]]]]&] (* Stefano Spezia, Dec 23 2022 *)

Extensions

More terms from Sascha Kurz, Mar 18 2002

A067505 Powers of 8 with digit sum also a power of 8.

Original entry on oeis.org

1, 8, 512, 68719476736, 76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568
Offset: 1

Views

Author

Amarnath Murthy, Feb 11 2002

Keywords

Comments

Next two terms are 8^1014 and 8^64578.

Crossrefs

Cf. A067499, A067500, A067501, A067502, A067503, A067504, A067505, A067506, A067507, A067508, A067509, A067510, A067511.

Extensions

Extended and corrected by Sascha Kurz, Mar 18 2002
Edited by N. J. A. Sloane at the suggestion of Andrew S. Plewe, May 27 2007

A067504 Powers of 7 with digit sum also a power of 7.

Original entry on oeis.org

1, 7, 2401, 1977326743
Offset: 1

Views

Author

Amarnath Murthy, Feb 11 2002

Keywords

Comments

Next terms are 7^4433, 7^30810. - Sascha Kurz, Mar 18 2002

Crossrefs

Cf. A067499, A067500, A067501, A067502, A067503.
Subsequence of A000420.

A067506 Powers of 9 with digit sum also a power of 9.

Original entry on oeis.org

1, 9, 81, 150094635296999121
Offset: 1

Views

Author

Amarnath Murthy, Feb 11 2002

Keywords

Comments

The next term is too large to include. - Sascha Kurz, Mar 18 2002

Crossrefs

Cf. A067499, A067500, A067501, A067502, A067503, A067504, A067505.

A067507 Powers of 2 with even digit sum.

Original entry on oeis.org

2, 4, 8, 64, 512, 2048, 8192, 16384, 32768, 131072, 2097152, 67108864, 4294967296, 8589934592, 68719476736, 137438953472, 2199023255552, 4398046511104, 8796093022208, 17592186044416, 35184372088832, 70368744177664
Offset: 1

Views

Author

Amarnath Murthy, Feb 11 2002

Keywords

Links

Crossrefs

Cf. A067499, A067500, A067501, A067502, A067503, A067504, A067505.

Extensions

Corrected by Sascha Kurz, Mar 18 2002

A067508 Powers of 4 with digit sum divisible by 4.

Original entry on oeis.org

4, 67108864, 68719476736, 1125899906842624, 18446744073709551616, 302231454903657293676544, 1208925819614629174706176, 4835703278458516698824704, 77371252455336267181195264, 316912650057057350374175801344, 5192296858534827628530496329220096
Offset: 1

Views

Author

Amarnath Murthy, Feb 11 2002

Keywords

Links

Crossrefs

Intersection of A000302 and A268620.
Cf. A067499, A067500, A067501, A067502, A067503, A067504, A067505, A067506, A067507.

Programs

  • PARI
    lista(n)={my(L=List(),k=0);while(#LAndrew Howroyd, Sep 17 2024

Extensions

More terms from Sascha Kurz, Mar 18 2002
Offset changed and a(10) onwards from Andrew Howroyd, Sep 17 2024

A067509 Powers of 5 with digit sum divisible by 5.

Original entry on oeis.org

5, 390625, 9765625, 37252902984619140625, 9094947017729282379150390625, 227373675443232059478759765625, 3552713678800500929355621337890625, 2220446049250313080847263336181640625
Offset: 1

Views

Author

Amarnath Murthy, Feb 11 2002

Keywords

Links

Crossrefs

Subsequence of A000351.
Cf. A067499, A067500, A067501, A067502, A067503, A067504, A067505, A067506, A067507.

Programs

  • Maple
    filter:= proc(n) convert(convert(n,base,10),`+`) mod 5 = 0 end proc:
select(filter, [seq(5^n,n=1..100)]); # Robert Israel, Apr 21 2020

Extensions

More terms from Sascha Kurz, Mar 18 2002
Offset changed by Robert Israel, Apr 21 2020

A067510 Powers of 6 with digit sum divisible by 6.

Original entry on oeis.org

6, 1296, 279936, 1679616, 10077696, 60466176, 13060694016, 78364164096, 2821109907456, 16926659444736, 101559956668416, 3656158440062976, 789730223053602816, 4738381338321616896, 28430288029929701376
Offset: 1

Views

Author

Amarnath Murthy, Feb 11 2002

Keywords

Links

Crossrefs

Cf. A067499, A067500, A067501, A067502, A067503, A067504, A067505, A067506, A067507, A067508, A067509.
Intersection of A000400 and A054683.

Programs

  • Maple
    select(n -> convert(convert(n,base,10),`+`)::even, [seq(6^i, i=1..100)]); # Robert Israel, Apr 20 2020

Extensions

Offset changed by Robert Israel, Apr 20 2020

A067511 Powers of 7 with digit sum divisible by 7.

Original entry on oeis.org

7, 2401, 117649, 40353607, 1977326743, 9387480337647754305649, 65712362363534280139543, 459986536544739960976801, 15286700631942576193765185769276826401, 5243338316756303634461458718861951455543, 12589255298531885026341962383987545444758743
Offset: 1

Views

Author

Amarnath Murthy, Feb 11 2002

Keywords

Links

Crossrefs

Intersection of A000420 and A273159.
Cf. A067499, A067500, A067501, A067502, A067503, A067504, A067505, A067506, A067507, A067508, A067509, A067510.

Programs

  • PARI
    lista(n)={my(L=List(),k=0);while(#LAndrew Howroyd, Sep 17 2024

Extensions

More terms from Sascha Kurz, Mar 18 2002
Offset changed and a(10) onwards from Andrew Howroyd, Sep 17 2024
Showing 1-10 of 10 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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