A037402 -id:A037402 - cp's OEIS frontend

A037403 Numbers k such that every base-7 digit of k is a base-9 digit of k.

1, 2, 3, 4, 5, 6, 31, 99, 106, 107, 195, 198, 248, 257, 284, 297, 321, 498, 514, 749, 750, 751, 758, 767, 785, 936, 939, 940, 943, 950, 968, 996, 1028, 1086, 1088, 1110, 1163, 1200, 1218, 1254, 1453, 1471, 1498, 1500, 1502, 1507

Offset: 1

Clark Kimberling

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

Cf. A007093, A007095.

Cf. A037402, A037404.

import Data.List ((\\), nub)
a037403 n = a037403_list !! (n-1)
a037403_list = filter f [1..] where
   f x = null $ nub (ds 7 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

A037404 Numbers k such that every base-7 digit of k is a base-10 digit of k.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 23, 46, 214, 250, 265, 285, 316, 421, 702, 1030, 1032, 1036, 1037, 1039, 1053, 1234, 1243, 1336, 1366, 1368, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1429, 1431, 1432, 1443, 1450, 1453, 1454, 1457, 1464

Offset: 1

Clark Kimberling

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

Cf. A037402, A037403.

import Data.List ((\\), nub)
a037404 n = a037404_list !! (n-1)
a037404_list = filter f [1..] where
   f x = null $ nub (ds 7 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

A037438 Positive numbers having the same set of digits in base 7 and base 8.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 94, 133, 220, 227, 305, 385, 597, 620, 629, 1043, 1059, 1195, 1441, 1540, 1571, 1893, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 2086, 2278, 3080, 3170, 4165, 4200, 4365, 4389, 4464, 4483, 4504, 4512, 4880, 5156, 5202, 5211

Offset: 1

Clark Kimberling

			227 is in the sequence because 227 in base 7 is 443 and in base 8 it is 343.

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

Subsequence of A037402.

Select[Range[6000],Union[IntegerDigits[#,7]]==Union[IntegerDigits[#,8]]&] (* Harvey P. Dale, Jul 22 2015 *)

More terms from Don Reble, Apr 28 2006

Edited by John Cerkan, Feb 17 2017

cp's OEIS Frontend

A037403 Numbers k such that every base-7 digit of k is a base-9 digit of k.

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A037404 Numbers k such that every base-7 digit of k is a base-10 digit of k.

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Haskell

A037438 Positive numbers having the same set of digits in base 7 and base 8.

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Mathematica

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