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 1-4 of 4 results.

A214524 List of words over {1,6} with equal numbers of 1's and 6's.

Original entry on oeis.org

16, 61, 1166, 1616, 1661, 6116, 6161, 6611, 111666, 116166, 116616, 116661, 161166, 161616, 161661, 166116, 166161, 166611, 611166, 611616, 611661, 616116, 616161, 616611, 661116, 661161, 661611, 666111
Offset: 1

Views

Author

Jonathan Vos Post, Jul 19 2012

Keywords

Comments

This is to 6 as A214522 is to 5, as A214521 is to 4, as A214488 is to 3, and as A214218 is to 2. The subsequence of primes (when interpreted as decimal integers) is A087513.

Links

Crossrefs

Cf. A214218, A214488, A214521, A214522.

Programs

  • Mathematica
    Sort[FromDigits/@Flatten[Table[Permutations[PadRight[{},2n,{1,6}]],{n,3}],1]] (* Harvey P. Dale, May 11 2015 *)

A214530 List of words over {1,7} with equal numbers of 1's and 7's.

Original entry on oeis.org

17, 71, 1177, 1717, 1771, 7117, 7171, 7711, 111777, 117177, 117717, 117771, 171177, 171717, 171771, 177117, 177171, 177711, 711177, 711717, 711771, 717117, 717171, 717711, 771117, 771171, 771711, 777111
Offset: 1

Views

Author

Jonathan Vos Post, Jul 20 2012

Keywords

Comments

This is to 7 as A214524 is to 6, as A214522 is to 5, as A214521 is to 4, as A214488 is to 3, and as A214218 is to 2. The subsequence of primes (when interpreted as decimal integers) is A087514.

Crossrefs

Cf. A214218, A214488, A214521, A214522, A214524.

Programs

  • Mathematica
    Sort[FromDigits/@Flatten[Table[Permutations[PadRight[{},2n,{1,7}]],{n,3}],1]] (* Harvey P. Dale, Aug 30 2016 *)

A214531 List of words over {1,8} with equal numbers of 1's and 8's.

Original entry on oeis.org

18, 81, 1188, 1818, 1881, 8118, 8181, 8811, 111888, 118188, 118818, 118881, 181188, 181818, 181881, 188118, 188181, 188811, 811188, 811818, 811881, 818118, 818181, 818811, 881118, 881181, 881811, 888111
Offset: 1

Views

Author

Jonathan Vos Post, Jul 20 2012

Keywords

Comments

This is to 8 as A214530 is to 7, as A214530 is to 6, as A214522 is to 5, as A214521 is to 4, as A214488 is to 3, and as A214218 is to 2. All of these, interpreted as decimal integers are divisible by 9, because each pair of "1" and "8" contributes a digital sum of 9, hence the total is divisible by 9.

Links

Crossrefs

Cf. A214218, A214488, A214521, A214522, A214524, A214530.

Programs

  • Mathematica
    With[{tb=Table[Join[PadRight[{},n,1],PadRight[{},n,8]],{n,3}]},FromDigits/@ Flatten[Permutations/@tb,1]] (* Harvey P. Dale, Jan 17 2014 *)

A214532 List of words over {1,9} with equal numbers of 1's and 9's.

Original entry on oeis.org

19, 91, 1199, 1919, 1991, 9119, 9191, 9911, 111999, 119199, 119919, 119991, 191199, 191919, 191991, 199119, 199191, 199911, 911199, 911919, 911991, 919119, 919191, 919911, 991119, 991191, 991911, 999111, 11119999, 11191999
Offset: 1

Views

Author

Jonathan Vos Post, Jul 20 2012

Keywords

Comments

This is to 9 as A214531 is to 8, as A214530 is to 7, as A214530 is to 6, as A214522 is to 5, as A214521 is to 4, as A214488 is to 3, and as A214218 is to 2.
The subsequence of primes (when interpreted as decimal integers) is A087515.

Crossrefs

Cf. A214218, A214488, A214521, A214522, A214524, A214530, A214531.

Programs

  • Mathematica
    FromDigits/@(Flatten[Permutations/@Table[Join[Table[1,{n}],Table[9,{n}]],{n,4}],1]) (* Harvey P. Dale, Aug 20 2014 *)
Showing 1-4 of 4 results.

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

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