A037401 -id:A037401 - cp's OEIS frontend

A037399 Numbers k such that every base-6 digit of k is a base-8 digit of k.

1, 2, 3, 4, 5, 28, 80, 85, 86, 98, 115, 160, 172, 213, 266, 331, 345, 532, 691, 699, 705, 708, 717, 720, 727, 763, 765, 792, 799, 811, 819, 835, 851, 859, 861, 863, 864, 900, 916, 928, 1036, 1061, 1068, 1085, 1093, 1128, 1129, 1130

Offset: 1

Clark Kimberling

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Cf. A007092, A007094.

Cf. A037398, A037400, A037401.

import Data.List ((\\), nub)
a037399 n = a037399_list !! (n-1)
a037399_list = filter f [1..] where
   f x = null $ nub (ds 6 x) \\ nub (ds 8 x)
   ds b x = if x > 0 then d : ds b x' else []  where (x', d) = divMod x b
-- Reinhard Zumkeller, May 30 2013

b68Q[n_]:=Module[{b6=Union[IntegerDigits[n,6]],b8=Union[IntegerDigits[ n,8]]}, And@@Table[ MemberQ[b8,b6[[i]]],{i,Length[b6]}]]; Select[Range[ 1200],b68Q] (* Harvey P. Dale, Mar 24 2012 *)

A037398 Numbers k such that every base-6 digit of k is a base-7 digit of k.

Original entry on oeis.org

1, 2, 3, 4, 5, 7, 14, 21, 28, 35, 43, 68, 79, 86, 122, 123, 129, 165, 172, 208, 215, 246, 252, 260, 361, 373, 397, 425, 427, 431, 444, 445, 446, 469, 475, 476, 479, 481, 482, 504, 513, 520, 527, 556, 562, 583, 625, 696, 738, 756

Offset: 1

Clark Kimberling

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Cf. A007092, A007093.

Cf. A037399, A037400, A037401.

import Data.List ((\\), nub)
a037398 n = a037398_list !! (n-1)
a037398_list = filter f [1..] where
   f x = null $ nub (ds 6 x) \\ nub (ds 7 x)
   ds b x = if x > 0 then d : ds b x' else []  where (x', d) = divMod x b
-- Reinhard Zumkeller, May 30 2013

A037400 Numbers k such that every base-6 digit of k is a base-9 digit of k.

Original entry on oeis.org

1, 2, 3, 4, 5, 21, 104, 108, 115, 129, 194, 212, 215, 252, 259, 271, 280, 352, 370, 388, 417, 504, 651, 756, 757, 758, 759, 760, 761, 762, 763, 777, 913, 922, 928, 932, 949, 976, 994, 1008, 1015, 1030, 1076, 1137, 1147, 1151, 1152

Offset: 1

Clark Kimberling

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Cf. A007092, A007095.

Cf. A037398, A037399, A037401.

import Data.List ((\\), nub)
a037400 n = a037400_list !! (n-1)
a037400_list = filter f [1..] where
   f x = null $ nub (ds 6 x) \\ nub (ds 9 x)
   ds b x = if x > 0 then d : ds b x' else []  where (x', d) = divMod x b
-- Reinhard Zumkeller, May 30 2013

A037437 Positive numbers having the same set of digits in base 6 and base 10.

Original entry on oeis.org

1, 2, 3, 4, 5, 331, 1014, 1045, 1135, 1145, 1151, 1440, 1504, 3142, 3225, 3321, 3332, 3402, 5003, 5143, 10104, 10225, 10335, 10350, 10420, 10542, 11023, 11132, 11240, 11324, 11425, 11520, 11552, 12103, 12213, 12223, 12235, 12320, 13014, 13341

Offset: 1

Clark Kimberling

			1145 is in the sequence because 1145 in base 6 is 5145.

John Cerkan, Table of n, a(n) for n = 1..10000

Subsequence of A037401.

Select[Range[14000],Union[IntegerDigits[#]]==Union[IntegerDigits[ #,6]]&] (* Harvey P. Dale, Dec 09 2011 *)

More terms from Don Reble, Apr 28 2006

Edited by John Cerkan, Feb 17 2017

cp's OEIS Frontend

A037399 Numbers k such that every base-6 digit of k is a base-8 digit of k.

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A037398 Numbers k such that every base-6 digit of k is a base-7 digit of k.

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A037400 Numbers k such that every base-6 digit of k is a base-9 digit of k.

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A037437 Positive numbers having the same set of digits in base 6 and base 10.

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