A352546 -id:A352546 - cp's OEIS frontend

A352547 Numbers having more odd than even digits when written in base 10.

1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 31, 33, 35, 37, 39, 51, 53, 55, 57, 59, 71, 73, 75, 77, 79, 91, 93, 95, 97, 99, 101, 103, 105, 107, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 121, 123, 125, 127, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 141, 143, 145, 147, 149, 150, 151, 152, 153, 154, 155

Offset: 1

M. F. Hasler, Jul 03 2022

Paolo Xausa, Table of n, a(n) for n = 1..10000

Cf. A196563, A196564.
Cf. A072600 (same in base 2).
Cf. A227870, A352546 (numbers with fewer odd than even decimal digits).

A352547Q[k_] := Length[#] < 2*Count[#, _?OddQ] &[IntegerDigits[k]];
Select[Range[300], A352547Q] (* Paolo Xausa, Nov 28 2024 *)

select( {is_A352547(n)=vecsum(n=digits(n)%2)*2>#n}, [0..155])

def ok(n): return len(s:=str(n)) > 2*sum(1 for c in s if c in "02468")
print([k for k in range(156) if ok(k)]) # Michael S. Branicky, Jul 03 2022

A355504 Lexicographically earliest sequence of distinct nonnegative integers such that for any n >= 0, among the decimal digits of n and a(n) (counted with multiplicity) there are as many even digits as odd digits.

Original entry on oeis.org

1, 0, 3, 2, 5, 4, 7, 6, 9, 8, 10, 20, 12, 22, 14, 24, 16, 26, 18, 28, 11, 21, 13, 23, 15, 25, 17, 27, 19, 29, 30, 40, 32, 42, 34, 44, 36, 46, 38, 48, 31, 41, 33, 43, 35, 45, 37, 47, 39, 49, 50, 60, 52, 62, 54, 64, 56, 66, 58, 68, 51, 61, 53, 63, 55, 65, 57, 67

Offset: 0

Rémy Sigrist, Jul 05 2022

Leading zeros for positive integers are ignored.

This sequence is a self-inverse permutation of the nonnegative integers.

			Some terms alongside the corresponding even and odd digits are:
    n    a(n)  even   odd
    ---  ----  -----  -----
      0     1      0      1
      1     0      0      1
      2     3      2      3
      3     2      2      3
      4     5      4      5
      5     4      4      5
      6     7      6      7
      7     6      6      7
      8     9      8      9
      9     8      8      9
     10    10     00     11
     11    20     20     11
     12    12     22     11
     13    22     22     13
     14    14     44     11
    ...   ...    ...    ...
     90    90     00     99
     91  1000    000    911
     92    92     22     99
     93  1002    002    931
     94    94     44     99
     95  1004    004    951
     96    96     66     99
     97  1006    006    971
     98    98     88     99
     99  1008    008    991
    100   101    000    111

Rémy Sigrist, Table of n, a(n) for n = 0..9110
Rémy Sigrist, Log-log scatterplot of the sequence for n = 0..9111110
Rémy Sigrist, PARI program
Index entries for sequences that are permutations of the natural numbers

Cf. A227870 (fixed points), A352546, A352547, A352760.

PARI
```
See Links section.
```

a(n) = n iff n belongs to A227870.

a(n) belongs to A352546 iff n belongs to A352547 and vice versa.

A355274 Numbers having more even than odd digits when written in base 3.

Original entry on oeis.org

0, 2, 6, 8, 9, 11, 15, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 29, 33, 35, 45, 47, 51, 53, 54, 55, 56, 57, 59, 60, 61, 62, 63, 65, 69, 71, 72, 73, 74, 75, 77, 78, 79, 80, 81, 82, 83, 84, 86, 87, 88, 89, 90, 92, 96, 98, 99, 100, 101, 102, 104, 105, 106, 107, 108, 110, 114, 116

Offset: 1

M. F. Hasler, Jul 03 2022

Cf. A072603 (same in base 2), A352546 (same in base 10).

select( {is_A355274(n)=vecsum(n=digits(n,3)%2)*2<#n+!n}, [0..123])

from sympy.ntheory import digits
def ok(n):
    d = digits(n, 3)[1:]
    return len(d) < 2*sum(1 for di in d if di%2 == 0)
print([k for k in range(117) if ok(k)]) # Michael S. Branicky, Jul 03 2022

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A352547 Numbers having more odd than even digits when written in base 10.

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A355504 Lexicographically earliest sequence of distinct nonnegative integers such that for any n >= 0, among the decimal digits of n and a(n) (counted with multiplicity) there are as many even digits as odd digits.

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A355274 Numbers having more even than odd digits when written in base 3.

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Author

Keywords

Crossrefs

Programs

PARI

Python