A037443 -id:A037443 - cp's OEIS frontend

A308493 Numbers k such that k in base 10 contains the same digits as k in some other base.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 20, 21, 23, 31, 41, 42, 43, 46, 51, 53, 61, 62, 63, 71, 73, 81, 82, 83, 84, 86, 91, 93, 100, 101, 102, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 121, 122, 123, 131, 133, 141, 144, 151, 155, 158, 161, 166, 171, 177, 181

Offset: 1

Jinyuan Wang, Aug 05 2019

Supersequence of A034294 and A307498.
This sequence is infinite because 2*10^k is a term for any k >= 0.
Also 10^k is a term when k >= 0 and so too 10^k*(10^m - 1)/9 for any k > 0 and m >= 0. - Bruno Berselli, Aug 26 2019

			k = 113 is in the sequence because the set of digits of k {1, 3} equals the set of digits of (k in base 110) = 13.

Cf. A034294, A037415, A037422, A037428, A037433, A037437, A037440, A037442, A037443, A249899, A307498.

isok(k) = {my(j=Set(digits(k))); for(b=2, k+1, if((b!=10) && (Set(digits(k, b)) == j), return(1))); return(0);} \\ Michel Marcus, Aug 05 2019

A281383 Triangle read by rows T(n,k) is the least integer with more than 1 digit in base n and k, such that the set of its base_n digits equals the set of its base_k digits.

Original entry on oeis.org

2, 9, 3, 4, 22, 4, 5, 7, 28, 5, 6, 36, 55, 46, 6, 49, 51, 9, 17, 68, 7, 8, 17, 64, 91, 708, 94, 8, 9, 9, 81, 11, 212, 31, 124, 9, 10, 10, 13, 213, 331, 23, 614, 158, 10, 11, 23, 124, 385, 13, 38, 145, 49, 196, 11, 12, 12, 25, 49, 289, 61, 475, 2035, 1880, 238, 12

Offset: 2

Michel Marcus, Jan 21 2017

			Triangle starts:
2;
9, 3;
4, 22, 4;
5, 7, 28, 5;
6, 36, 55, 46, 6;
49, 51, 9, 17, 68, 7;
8, 17, 64, 91, 708, 94, 8;
...

Cf. A033170, A037408-A037443.

Cf. A281384 (first column).

T(n, k) = my(m=min(n,k)); while (Set(digits(m, n)) != Set(digits(m,k)), m++); m;
tabl(nn) = {for (n=2, nn, for (k=2, n, print1(T(n,k), ", ");); print(););}

T(n, n) = n.

cp's OEIS Frontend

A308493 Numbers k such that k in base 10 contains the same digits as k in some other base.

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