A043279 -id:A043279 - cp's OEIS frontend

A043290 Maximal run length in base 16 representation of n.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1

Offset: 1

Clark Kimberling

Antti Karttunen, Table of n, a(n) for n = 1..65537

Cf. A043276, A043277, A043278, A043279, A043280, A043281, A043282, A043283, A043284, A043285, A043286, A043287, A043288, A043289 for base-2 to base-15 analogs.

A043290[n_]:=Max[Map[Length,Split[IntegerDigits[n,16]]]];Array[A043290,100] (* Paolo Xausa, Sep 27 2023 *)

A043290(n,b=16)={my(m,c=1);while(n>0,n%b==(n\=b)%b && c++ && next;m=max(m,c);c=1);m} \\ Use optional 2nd arg to get sequences A043276 through A043289. - M. F. Hasler, Jul 23 2013

from itertools import groupby
def A043290(n): return max(len(list(g)) for k, g in groupby(hex(n)[2:])) # Chai Wah Wu, Mar 09 2023

More terms from Antti Karttunen, Sep 21 2018

A031943 Numbers with no consecutive equal base-5 digits.

Original entry on oeis.org

1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 26, 27, 28, 29, 35, 36, 38, 39, 40, 41, 42, 44, 45, 46, 47, 48, 51, 52, 53, 54, 55, 57, 58, 59, 65, 66, 67, 69, 70, 71, 72, 73, 76, 77, 78, 79, 80, 82, 83, 84, 85, 86, 88

Offset: 1

Clark Kimberling

Cf. A000975 (base-2 analog), A031941 or A043089 (base-3 analog), A031942 or A043090 (base-4 analog), A043092, ..., A043096 (base-6 through base-10 analog).

Select[Range[90],FreeQ[Differences[IntegerDigits[#,5]],0]&] (* Harvey P. Dale, Nov 30 2019 *)

A031943 = { n | A043279(n)=1 } = A043091 \ {0}. - M. F. Hasler, Jul 23 2013

A043287 Maximal run length in base-13 representation of n.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1

Offset: 1

Clark Kimberling

Antti Karttunen, Table of n, a(n) for n = 1..65537

Cf. A043276, A043277, A043278, A043279, A043280, A043281, A043282, A043283, A043284, A043285, A043286, A043288, A043289, A043290 for base-2 to base-16 analogs.

A043287[n_]:=Max[Map[Length,Split[IntegerDigits[n,13]]]];Array[A043287,100] (* Paolo Xausa, Sep 27 2023 *)

A043287(n,b=13)={my(m,c=1);while(n>0,n%b==(n\=b)%b&&c++&&next;m=max(m,c);c=1);m} \\ M. F. Hasler, Jul 23 2013

More terms from Antti Karttunen, Sep 21 2018

A043288 Maximal run length in base-14 representation of n.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2

Offset: 1

Clark Kimberling

Antti Karttunen, Table of n, a(n) for n = 1..65537

Cf. A043276, A043277, A043278, A043279, A043280, A043281, A043282, A043283, A043284, A043285, A043286, A043287, A043289, A043290 for base-2 to base-16 analogs.

A043288[n_]:=Max[Map[Length,Split[IntegerDigits[n,14]]]];Array[A043288,100] (* Paolo Xausa, Sep 27 2023 *)

A043288(n,b=14)={my(m,c=1);while(n>0,n%b==(n\=b)%b&&c++&&next;m=max(m,c);c=1);m} \\ M. F. Hasler, Jul 23 2013

More terms from Antti Karttunen, Sep 21 2018

A037982 Numbers whose maximal base 5 run length is 3.

Original entry on oeis.org

31, 62, 93, 124, 125, 155, 157, 158, 159, 187, 218, 249, 250, 281, 310, 311, 313, 314, 343, 374, 375, 406, 437, 465, 466, 467, 469, 499, 500, 531, 562, 593, 620, 621, 622, 623, 626, 627, 628, 629, 656, 687, 718, 749, 750, 775

Offset: 1

Clark Kimberling

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Cf. A043279.

Select[Range[800],Max[Length/@Split[IntegerDigits[#,5]]]==3&] (* Harvey P. Dale, Feb 15 2022 *)

A037981 Maximal base 5 run length is 2.

Original entry on oeis.org

6, 12, 18, 24, 25, 30, 32, 33, 34, 37, 43, 49, 50, 56, 60, 61, 63, 64, 68, 74, 75, 81, 87, 90, 91, 92, 94, 99, 100, 106, 112, 118, 120, 121, 122, 123, 126, 127, 128, 129, 131, 137, 143, 149, 150, 151, 152, 153, 154, 160, 161, 162, 163

Offset: 1

Clark Kimberling

Cf. A043279.

Select[Range[170],Max[Length/@Split[IntegerDigits[#,5]]]==2&] (* Harvey P. Dale, Mar 29 2025 *)

cp's OEIS Frontend

A043290 Maximal run length in base 16 representation of n.

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A031943 Numbers with no consecutive equal base-5 digits.

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A043287 Maximal run length in base-13 representation of n.

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A043288 Maximal run length in base-14 representation of n.

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A037982 Numbers whose maximal base 5 run length is 3.

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A037981 Maximal base 5 run length is 2.

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