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A361401
Irregular table T(n, k), n >= 0, k = 1..A361398(n); the n-th row lists the numbers whose binary expansion is a self-infiltration of that of n.
3
0, 1, 3, 2, 4, 6, 10, 12, 3, 7, 15, 4, 8, 12, 16, 20, 24, 36, 40, 48, 5, 9, 11, 13, 19, 21, 25, 27, 43, 45, 51, 53, 6, 12, 14, 26, 28, 30, 54, 58, 60, 7, 15, 31, 63, 8, 16, 24, 32, 40, 48, 64, 72, 80, 96, 136, 144, 160, 192
OFFSET
0,3
COMMENTS
See A361398 for the definition of an infiltration (a self-infiltration is an infiltration a of word with itself).
The terms of the n-th row of A358893 appear in the n-th row of the present table (they correspond to terms with twice as many binary digits as n).
LINKS
FORMULA
T(n, 1) = 1.
T(n, A361398(n)) = A330941(n).
EXAMPLE
Table T(n, k) begins:
n n-th row
- ---------------------------------------------------------
0 0
1 1, 3
2 2, 4, 6, 10, 12
3 3, 7, 15
4 4, 8, 12, 16, 20, 24, 36, 40, 48
5 5, 9, 11, 13, 19, 21, 25, 27, 43, 45, 51, 53
6 6, 12, 14, 26, 28, 30, 54, 58, 60
7 7, 15, 31, 63
8 8, 16, 24, 32, 40, 48, 64, 72, 80, 96, 136, 144, 160, 192
PROG
(PARI) See Links section.
CROSSREFS
KEYWORD
nonn,base,tabf
AUTHOR
Rémy Sigrist, Mar 10 2023
STATUS
approved