A023806 -id:A023806 - cp's OEIS frontend

A113763 Non-multiples of 13, or numbers not divisible by 13.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77

Offset: 1

Zak Seidov, Jan 18 2006

Cf. A011760 (Elevator buttons in U.S.A).
Cf. A023806 (all digits in base 12 are different).
Complement of A008595. - Reinhard Zumkeller, Apr 26 2011

Eric Weisstein's World of Mathematics, Triskaidekaphobia
Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,0,0,0,1,-1).

Cf. A011760, A023806.

Table[n+Quotient[2n-1, 24], {n, 1, 85}];(* or *)Table[n+Floor[(2n-1)/24], {n, 1, 85}]

a(n)=(26*n-1)\24 \\ Charles R Greathouse IV, Jun 08 2015

[i for i in range(80) if not i%13] # Zerinvary Lajos, Apr 21 2009

a(n) = n+floor((2n-1)/24) = n+quotient(2n-1, 24)

A043286 Maximal run length in base-12 representation of n.

Original entry on oeis.org

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

Offset: 1

Clark Kimberling

For all numbers n in A023806, a(n)=1, but this holds also for others, e.g., n=145, not in A023806. The same relation holds for the terms of A113763 less than n=144, but becomes wrong from then on. - M. F. Hasler, Jul 24 2013

Antti Karttunen, Table of n, a(n) for n = 1..22621

Cf. A043276-A043290 for base-2 to base-16 analogs.

A043286[n_]:=Max[Map[Length,Split[IntegerDigits[n,12]]]];Array[A043286,100] (* Paolo Xausa, Sep 27 2023 *)

A043286(n, b=12){=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 - typos fixed by Antti Karttunen, Dec 06 2017

More terms from Antti Karttunen, Dec 06 2017

cp's OEIS Frontend

A113763 Non-multiples of 13, or numbers not divisible by 13.

Views

Author

Keywords

Comments

Links

Crossrefs

Programs

Mathematica

PARI

Sage

Formula