A361478 Irregular table T(n, k), n >= 0, k = 1..A361477(n), read by rows; the n-th row lists the integers whose binary expansions have the same multiset of run-lengths as that of n.

0, 1, 2, 3, 4, 6, 5, 4, 6, 7, 8, 14, 9, 11, 13, 10, 9, 11, 13, 12, 9, 11, 13, 8, 14, 15, 16, 30, 17, 23, 29, 18, 20, 22, 26, 19, 25, 27, 18, 20, 22, 26, 21, 18, 20, 22, 26, 17, 23, 29, 24, 28, 19, 25, 27, 18, 20, 22, 26, 19, 25, 27, 24, 28, 17, 23, 29, 16, 30

Offset

0,3

Comments

This sequence has similarities with A187786; here we consider multisets of run-lengths, there multisets of digits in binary expansions.

Links

Rémy Sigrist, Table of n, a(n) for n = 0..6009 (rows for n = 0..511 flattened)

Rémy Sigrist, PARI program

Index entries for sequences related to binary expansion of n

Formula

T(n, 1) = A361479(n).

T(n, A361477(n)) = A361480(n).

Example

Table T(n, k) begins (in decimal and in binary):
  n   n-th row    bin(n)  n-th row in binary
  --  ----------  ------  ------------------
   0  0                0  0
   1  1                1  1
   2  2               10  10
   3  3               11  11
   4  4, 6           100  100, 110
   5  5              101  101
   6  4, 6           110  100, 110
   7  7              111  111
   8  8, 14         1000  1000, 1110
   9  9, 11, 13     1001  1001, 1011, 1101
  10  10            1010  1010
  11  9, 11, 13     1011  1001, 1011, 1101
  12  12            1100  1100
  13  9, 11, 13     1101  1001, 1011, 1101
  14  8, 14         1110  1000, 1110
  15  15            1111  1111
  16  16, 30       10000  10000, 11110

Prog

(PARI) See Links section.

Crossrefs

Cf. A187786, A361477, A361479, A361480.

Sequence in context: A328166 A266447 A100700 * A332781 A066115 A227788

Adjacent sequences: A361475 A361476 A361477 * A361479 A361480 A361481

Keyword

nonn,base,tabf

Author

Rémy Sigrist, Mar 13 2023

Status

approved