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 11-16 of 16 results.

A044825 Positive integers having distinct base-14 run lengths.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 196, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 226, 241, 256, 271, 286, 301, 316, 331, 346, 361, 376, 391, 392, 407, 420, 421, 422, 423
Offset: 1

Views

Author

Clark Kimberling

Keywords

Examples

			346 = 1AA_14 is in the sequence as it has distinct run lengths of distinct digits (1, 2). - _David A. Corneth_, Jan 04 2021

Links

Crossrefs

Cf. A044813, A044814, A044815, A044816, A044817, A044818, A044819, A044820, A044821, A044822, A044823, A044824, A044825, A044826, A044827 (base 2 to base 16).

A044826 Positive integers having distinct base-15 run lengths.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 225, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 257, 273, 289, 305, 321, 337, 353, 369, 385, 401, 417, 433, 449, 450, 466
Offset: 1

Views

Author

Clark Kimberling

Keywords

Examples

			337 = 177_15 is in the sequence as it has distinct run lengths of distinct digits (1, 2). - _David A. Corneth_, Jan 04 2021

Links

Crossrefs

Cf. A044813, A044814, A044815, A044816, A044817, A044818, A044819, A044820, A044821, A044822, A044823, A044824, A044825, A044826, A044827 (base 2 to base 16).

A044827 Positive integers having distinct base-16 run lengths.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 256, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 290, 307, 324, 341, 358, 375, 392, 409, 426, 443, 460, 477
Offset: 1

Views

Author

Clark Kimberling

Keywords

Examples

			324 = 144_16 is in the sequence as it has distinct run lengths of distinct digits (1, 2). - _David A. Corneth_, Jan 04 2021

Links

Crossrefs

Cf. A044813, A044814, A044815, A044816, A044817, A044818, A044819, A044820, A044821, A044822, A044823, A044824, A044825, A044826, A044827 (base 2 to base 16).

A297136 Numbers whose base-6 digits d(m), d(m-1), ..., d(0) have m=0 or else d(i) = d(i+1) for some i in {0,1,...,m-1}.

Original entry on oeis.org

1, 2, 3, 4, 5, 7, 14, 21, 28, 35, 36, 42, 43, 44, 45, 46, 47, 50, 57, 64, 71, 72, 79, 84, 85, 86, 87, 88, 89, 93, 100, 107, 108, 115, 122, 126, 127, 128, 129, 130, 131, 136, 143, 144, 151, 158, 165, 168, 169, 170, 171, 172, 173, 179, 180, 187, 194, 201, 208
Offset: 1

Views

Author

Clark Kimberling, Jan 14 2018

Keywords

Comments

These numbers comprise the complement of the set of numbers in the union of A297134 and A297135.
This first differs from A044817 at position 67: a(67) = 217, A044817(67) = 258. - Robert Israel, Jan 17 2018

Examples

			Base-6 digits of 4996: 3,5,0,4,4, so that 4996 is in the sequence.

Links

Crossrefs

Cf. A044817, A297134, A297135.

Programs

  • Maple
    filter:= proc(n) local L;
L:= convert(n,base,6);
nops(L)=1 or member(0, L[2..-1]-L[1..-2])
end proc:
select(filter, [$1..1000]); # Robert Israel, Jan 17 2018
  • Mathematica
    a[n_, b_] := Sign[Differences[IntegerDigits[n, b]]]; z = 300;
b = 6; t = Table[a[n, b], {n, 1, 10*z}];
u = Select[Range[z], ! MemberQ[t[[#]], 0] && First[t[[#]]] == 1 &]   (* A297134 *)
v = Select[Range[z], ! MemberQ[t[[#]], 0] && First[t[[#]]] == -1 &]  (* A297135 *)
Complement[Range[z], Union[u, v]]  (* A297136 *)

A048303 Numbers whose base-6 expansions, read from left to right, have run lengths that strictly increase.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 7, 14, 21, 28, 35, 36, 43, 50, 57, 64, 71, 72, 79, 86, 93, 100, 107, 108, 115, 122, 129, 136, 143, 144, 151, 158, 165, 172, 179, 180, 187, 194, 201, 208, 215, 216, 259, 302, 345, 388, 431, 432, 475, 518, 561, 604, 647, 648, 691, 734, 777, 820
Offset: 0

Views

Author

Patrick De Geest, Feb 15 1999

Keywords

Crossrefs

Cf. A037015, A043695, A043709, A044817, A044955.

Programs

  • Mathematica
    Select[Range[0,900],Min[Differences[Length/@Split[IntegerDigits[ #,6]]]]> 0&] (* Harvey P. Dale, Jan 14 2014 *)

A048317 Numbers whose base-6 expansions, read from left to right, have run lengths that strictly decrease.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 7, 14, 21, 28, 35, 42, 43, 44, 45, 46, 47, 84, 85, 86, 87, 88, 89, 126, 127, 128, 129, 130, 131, 168, 169, 170, 171, 172, 173, 210, 211, 212, 213, 214, 215, 258, 259, 260, 261, 262, 263, 516, 517, 518, 519, 520, 521, 774, 775, 776, 777, 778, 779
Offset: 0

Views

Author

Patrick De Geest, Feb 15 1999

Keywords

Crossrefs

Cf. A037013, A043695, A043709, A044817, A044955.

Programs

  • Mathematica
    Select[Range[0,800],Max[Differences[Length/@Split[IntegerDigits[ #,6]]]]<0&] (* Harvey P. Dale, Jul 30 2019 *)
Previous Showing 11-16 of 16 results.

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