A032841 -id:A032841 - cp's OEIS frontend

A032842 Numbers whose base-4 representation Sum_{i=0..m} d(i)*4^i has d(m) < d(m-1) > d(m-2) < ...

1, 2, 3, 6, 7, 11, 24, 25, 28, 29, 30, 44, 45, 46, 97, 98, 99, 102, 103, 113, 114, 115, 118, 119, 123, 177, 178, 179, 182, 183, 187, 388, 392, 393, 396, 397, 398, 408, 409, 412, 413, 414, 452, 456, 457, 460, 461, 462, 472, 473, 476

Offset: 1

Clark Kimberling

For any term a(n) == 0 (mod 4), the three terms 4*a(n)+{1,2,3} are also in {a(n)}. If a(n) == 3 (mod 4), except for a(3)=3, then 4*a(n)+{0,1,2} are in the sequence. - Christian N. K. Anderson, May 24 2024

			The numbers {24, 25, 28, 29, 30, 44, 45, 46} are in the sequence because in base-4 they are {120, 121, 130, 131, 132, 230, 231, 232}, i.e., all the three-digit base-4 numbers that fit the pattern. - _Christian N. K. Anderson_, May 24 2024

Christian N. K. Anderson, Table of n, a(n) for n = 1..10000

Cf. A032851 for digits <= or >= previous digit (also in base 4).

Cf. A032841 for same sequence in base 3 (with program), A032843 base 5, A032844 base 6, A032845 base 7, A032846 base 8, A032847 base 9, A032848 base 10, and A032849 base 2.

A032898 Numbers whose base-10 representation Sum_{i=0..m} d(i)*10^i, d(m) > 0, has d(0) >= d(1) <= d(2) >= ...

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27, 28, 29, 33, 34, 35, 36, 37, 38, 39, 44, 45, 46, 47, 48, 49, 55, 56, 57, 58, 59, 66, 67, 68, 69, 77, 78, 79, 88, 89, 99, 100, 101, 102, 103, 104, 105, 106

Offset: 1

Clark Kimberling

Cf. A032841-A032907.

Edited by M. F. Hasler, Mar 08 2014

cp's OEIS Frontend

A032842 Numbers whose base-4 representation Sum_{i=0..m} d(i)*4^i has d(m) < d(m-1) > d(m-2) < ...

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A032898 Numbers whose base-10 representation Sum_{i=0..m} d(i)*10^i, d(m) > 0, has d(0) >= d(1) <= d(2) >= ...

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