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A368313
Irregular table T(n, k), n > 0, k = 1..A368314(n), read by rows: the n-th row lists the numbers that can be obtained by replacing any positive number without leading zeros, say m, appearing in the binary expansion of n by one of the divisors of m.
4
1, 1, 2, 1, 3, 1, 2, 4, 1, 3, 5, 1, 2, 3, 6, 1, 3, 7, 1, 2, 4, 8, 1, 3, 5, 9, 1, 2, 5, 6, 10, 1, 3, 5, 7, 11, 1, 2, 3, 4, 6, 12, 1, 3, 5, 7, 13, 1, 2, 3, 6, 7, 14, 1, 3, 5, 7, 15, 1, 2, 4, 8, 16, 1, 3, 5, 9, 17, 1, 2, 3, 6, 9, 10, 18, 1, 3, 7, 9, 11, 19, 1, 2, 4, 5, 10, 12, 20
OFFSET
1,3
COMMENTS
The n-th row starts with 1, ends with n, and contains the divisors of n (A027750).
LINKS
FORMULA
T(n, 1) = 1.
T(n, A368314(n)) = n.
EXAMPLE
Table T(n, k) begins:
1;
1, 2;
1, 3;
1, 2, 4;
1, 3, 5;
1, 2, 3, 6;
1, 3, 7;
1, 2, 4, 8;
1, 3, 5, 9;
1, 2, 5, 6, 10;
1, 3, 5, 7, 11;
1, 2, 3, 4, 6, 12;
1, 3, 5, 7, 13;
1, 2, 3, 6, 7, 14;
1, 3, 5, 7, 15;
1, 2, 4, 8, 16;
1, 3, 5, 9, 17;
...
PROG
(PARI) See Links section.
CROSSREFS
Cf. A027750, A368194 (decimal variant), A368314.
Sequence in context: A165416 A222818 A057059 * A346795 A361172 A169896
KEYWORD
nonn,base,tabf
AUTHOR
Rémy Sigrist, Dec 21 2023
STATUS
approved