A037397 -id:A037397 - cp's OEIS frontend

A037396 Numbers k such that every base-5 digit of k is a base-9 digit of k.

1, 2, 3, 4, 11, 22, 93, 121, 124, 126, 156, 181, 199, 317, 362, 598, 750, 751, 752, 755, 756, 758, 768, 770, 771, 775, 776, 780, 781, 785, 796, 812, 831, 841, 843, 849, 859, 895, 900, 906, 907, 911, 912, 918, 922, 927, 931, 932

Offset: 1

Clark Kimberling

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

Cf. A007091, A007095.

Cf. A037393, A037394, A037395, A037397.

import Data.List ((\\), nub)
a037396 n = a037396_list !! (n-1)
a037396_list = filter f [1..] where
   f x = null $ nub (ds 5 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

is(n)=#setminus(Set(digits(n,5)), Set(digits(n,9)))==0 \\ Charles R Greathouse IV, Feb 11 2017

A037393 Numbers k such that every base-5 digit of k is a base-6 digit of k.

Original entry on oeis.org

1, 2, 3, 4, 6, 12, 18, 24, 31, 46, 56, 62, 75, 81, 87, 90, 91, 92, 93, 94, 99, 118, 124, 145, 150, 157, 226, 232, 243, 245, 291, 300, 306, 307, 308, 311, 312, 314, 322, 326, 332, 336, 337, 338, 341, 362, 372, 374, 378, 411, 416, 418

Offset: 1

Clark Kimberling

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

Cf. A007091, A007092.

Cf. A037394, A037395, A037396, A037397.

import Data.List ((\\), nub)
a037393 n = a037393_list !! (n-1)
a037393_list = filter f [1..] where
   f x = null $ nub (ds 5 x) \\ nub (ds 6 x)
   ds b x = if x > 0 then d : ds b x' else []  where (x', d) = divMod x b
-- Reinhard Zumkeller, May 30 2013

A037394 Numbers k such that every base-5 digit of k is a base-7 digit of k.

Original entry on oeis.org

1, 2, 3, 4, 17, 51, 66, 102, 109, 123, 156, 158, 162, 206, 218, 312, 317, 324, 361, 381, 416, 418, 423, 458, 462, 463, 466, 467, 468, 472, 494, 518, 545, 546, 549, 556, 557, 559, 562, 584, 606, 619, 621, 630, 640, 651, 658, 687

Offset: 1

Clark Kimberling

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

Cf. A007091, A007093.

Cf. A037393, A037395, A037396, A037397.

import Data.List ((\\), nub)
a037394 n = a037394_list !! (n-1)
a037394_list = filter f [1..] where
   f x = null $ nub (ds 5 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

Select[Range[700],SubsetQ[IntegerDigits[#,7],IntegerDigits[#,5]]&] (* Harvey P. Dale, Sep 29 2017 *)

A037395 Numbers k such that every base-5 digit of k is a base-8 digit of k.

Original entry on oeis.org

1, 2, 3, 4, 83, 91, 93, 99, 124, 136, 161, 200, 206, 272, 314, 467, 524, 532, 540, 545, 546, 549, 609, 643, 656, 672, 680, 705, 706, 708, 770, 771, 774, 775, 776, 781, 784, 786, 787, 789, 793, 794, 796, 798, 799, 843, 871, 906

Offset: 1

Clark Kimberling

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

Cf. A007091, A007094.

Cf. A037393, A037394, A037396, A037397.

import Data.List ((\\), nub)
a037395 n = a037395_list !! (n-1)
a037395_list = filter f [1..] where
   f x = null $ nub (ds 5 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

Select[Range[1000],SubsetQ[IntegerDigits[#,8],IntegerDigits[#,5]]&] (* Harvey P. Dale, Oct 13 2015 *)

A037433 Positive numbers having the same set of digits in base 5 and base 10.

Original entry on oeis.org

1, 2, 3, 4, 213, 1003, 1030, 1420, 1421, 1422, 1423, 1424, 2013, 2130, 2203, 2243, 2300, 2301, 2302, 2303, 2304, 2311, 2324, 2413, 2431, 2443, 3210, 4021, 4102, 4112, 4120, 4121, 4122, 4123, 4124, 4331, 4341, 10003, 10030, 10031, 10032

Offset: 1

Clark Kimberling

			1422 is in the sequence because 1422 in base 5 is 21142.

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

Subsequence of A037397.

Select[Range[11000],Union[IntegerDigits[#]]==Union[IntegerDigits[#,5]]&] (* Harvey P. Dale, Aug 16 2014 *)

More terms from Don Reble, Apr 28 2006

Edited by John Cerkan, Feb 13 2017

cp's OEIS Frontend

A037396 Numbers k such that every base-5 digit of k is a base-9 digit of k.

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A037393 Numbers k such that every base-5 digit of k is a base-6 digit of k.

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A037394 Numbers k such that every base-5 digit of k is a base-7 digit of k.

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Mathematica

A037395 Numbers k such that every base-5 digit of k is a base-8 digit of k.

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Haskell

Mathematica

A037433 Positive numbers having the same set of digits in base 5 and base 10.

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