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.

Previous Showing 11-15 of 15 results.

A032861 Numbers whose base-6 representation Sum_{i=0..m} d(i)*6^i has d(m) > d(m-1) < d(m-2) > ...

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 12, 13, 18, 19, 20, 24, 25, 26, 27, 30, 31, 32, 33, 34, 37, 38, 39, 40, 41, 73, 74, 75, 76, 77, 80, 81, 82, 83, 109, 110, 111, 112, 113, 116, 117, 118, 119, 123, 124, 125, 145, 146, 147, 148, 149, 152, 153, 154, 155
Offset: 1

Views

Author

Clark Kimberling

Keywords

Crossrefs

Cf. A007092.
Cf. A032858..A032865 for bases 3..10.
Cf. A306106..A306111 and A297147 for bases 3..9 and 10.

Programs

  • Mathematica
    sdQ[n_]:=Module[{s=Sign[Differences[IntegerDigits[n,6]]]},s==PadRight[{}, Length[ s],{-1,1}]]; Select[Range[0,200],sdQ] (* Harvey P. Dale, Dec 15 2017 *)

Extensions

a(1)=0 inserted by Georg Fischer, Dec 18 2020

A306110 Numbers with digits in {0,...,7} such that every other digit is strictly less than its neighbors.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 10, 20, 21, 30, 31, 32, 40, 41, 42, 43, 50, 51, 52, 53, 54, 60, 61, 62, 63, 64, 65, 70, 71, 72, 73, 74, 75, 76, 101, 102, 103, 104, 105, 106, 107, 201, 202, 203, 204, 205, 206, 207, 212, 213, 214, 215, 216, 217, 301, 302, 303, 304, 305, 306, 307, 312, 313, 314, 315, 316, 317, 323, 324, 325
Offset: 1

Views

Author

M. F. Hasler, Oct 05 2018

Keywords

Comments

Terms of A032863 written in base 8.

Crossrefs

Cf. A306105 .. A306111 and A297147: analog for bases 3..9 and 10.
Cf. A032863 and A032858 .. A032865 for other bases 3..10.

Programs

  • PARI
    A(Nmax=100,K=7,A=[0..K],i=vector(2*K,i,max(1,i-K+1)),c(T,v)=apply(t->t+T,v))={for(n=0,oo, for(k=10,K*11,if(k%10

Formula

a(n) = A007094(A032863(n)).

A306107 Numbers with digits in {0,1,2,3,4} such that every other digit is strictly less than its neighbors.

Original entry on oeis.org

0, 1, 2, 3, 4, 10, 20, 21, 30, 31, 32, 40, 41, 42, 43, 101, 102, 103, 104, 201, 202, 203, 204, 212, 213, 214, 301, 302, 303, 304, 312, 313, 314, 323, 324, 401, 402, 403, 404, 412, 413, 414, 423, 424, 434, 1010, 1020, 1021, 1030, 1031, 1032, 1040, 1041, 1042, 1043, 2010, 2020, 2021, 2030, 2031, 2032, 2040, 2041
Offset: 1

Views

Author

M. F. Hasler, Oct 05 2018

Keywords

Comments

Terms of A032860 written in base 5.

Crossrefs

Cf. A306105 .. A306111 and A297147: analog for bases 3..9 and 10.
Cf. A032860 and A032858 .. A032865 for other bases 3..10.

Programs

  • PARI
    A(Nmax=100, K=4, A=[0..K], i=vector(2*K, i, max(1, i-K+1)), c(T, v)=apply(t->t+T, v))={for(n=0, oo, for(k=10, K*11, if(k%10

Formula

a(n) = A007091(A032860(n)).

A306108 Numbers with digits in {0,...,5} such that every other digit is strictly less than its neighbors.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 10, 20, 21, 30, 31, 32, 40, 41, 42, 43, 50, 51, 52, 53, 54, 101, 102, 103, 104, 105, 201, 202, 203, 204, 205, 212, 213, 214, 215, 301, 302, 303, 304, 305, 312, 313, 314, 315, 323, 324, 325, 401, 402, 403, 404, 405, 412, 413, 414, 415, 423, 424, 425, 434, 435, 501, 502, 503, 504, 505, 512, 513, 514
Offset: 1

Views

Author

M. F. Hasler, Oct 05 2018

Keywords

Comments

Terms of A032861 written in base 6.

Crossrefs

Cf. A306105 .. A306111 and A297147: analog for bases 3..9 and 10.
Cf. A032862 and A032858 .. A032865 for other bases 3..10.

Programs

  • PARI
    A(Nmax=100, K=5, A=[0..K], i=vector(2*K, i, max(1, i-K+1)), c(T, v)=apply(t->t+T, v))={for(n=0, oo, for(k=10, K*11, if(k%10

Formula

a(n) = A007092(A032861(n)).

A306109 Numbers with digits in {0,...,6} such that every other digit is strictly less than its neighbors.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 10, 20, 21, 30, 31, 32, 40, 41, 42, 43, 50, 51, 52, 53, 54, 60, 61, 62, 63, 64, 65, 101, 102, 103, 104, 105, 106, 201, 202, 203, 204, 205, 206, 212, 213, 214, 215, 216, 301, 302, 303, 304, 305, 306, 312, 313, 314, 315, 316, 323, 324, 325, 326, 401, 402, 403, 404, 405, 406, 412, 413, 414, 415
Offset: 1

Views

Author

M. F. Hasler, Oct 05 2018

Keywords

Comments

Terms of A032862 written in base 7.

Crossrefs

Cf. A306105 .. A306111 and A297147: analog for bases 3..9 and 10.
Cf. A032863 and A032858 .. A032865 for other bases 3..10.

Programs

  • PARI
    A(Nmax=100, K=6, A=[0..K], i=vector(2*K, i, max(1, i-K+1)), c(T, v)=apply(t->t+T, v))={for(n=0, oo, for(k=10, K*11, if(k%10

Formula

a(n) = A007093(A032862(n)).
Previous Showing 11-15 of 15 results.

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

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