A037393 -id:A037393 - 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

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 *)

A037397 Every base 5 digit of n is a base 10 digit of n.

Original entry on oeis.org

1, 2, 3, 4, 12, 24, 31, 62, 93, 104, 124, 130, 150, 156, 162, 174, 182, 213, 250, 260, 281, 302, 312, 324, 342, 390, 473, 493, 504, 604, 624, 781, 812, 831, 912, 1003, 1030, 1031, 1032, 1033, 1034, 1043, 1083, 1093, 1174, 1234, 1243

Offset: 1

Clark Kimberling

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

Cf. A037393, A037394, A037395, A037396.

import Data.List ((\\), nub)
a037397 n = a037397_list !! (n-1)
a037397_list = filter f [1..] where
   f x = null $ nub (ds 5 x) \\ nub (ds 10 x)
   ds b x = if x > 0 then d : ds b x' else []  where (x', d) = divMod x b
-- Reinhard Zumkeller, May 30 2013

A037429 Positive numbers having the same set of digits in base 5 and base 6.

Original entry on oeis.org

1, 2, 3, 4, 46, 87, 92, 145, 226, 308, 326, 332, 435, 452, 567, 568, 597, 673, 870, 914, 946, 949, 1316, 1375, 1376, 1380, 1381, 1382, 1383, 1384, 1388, 1396, 1525, 1526, 1556, 1561, 1609, 1632, 1671, 1756, 1789, 1791, 1846, 1858, 1951, 1957, 1971

Offset: 1

Clark Kimberling

			308 is in the sequence because 308 in base 5 is 2213 and in base 6 it is 1232.

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

Subsequence of A037393.

is(n)=Set(digits(n, 5))==Set(digits(n, 6)) \\ Charles R Greathouse IV, Feb 11 2017

Edited by Don Reble, Apr 28 2006

Edited by John Cerkan, Feb 09 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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A037394 Numbers k such that every base-5 digit of k is a base-7 digit of k.

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

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A037397 Every base 5 digit of n is a base 10 digit of n.

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A037429 Positive numbers having the same set of digits in base 5 and base 6.

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