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A374560
Square array A(n, k), n, k >= 0, read by antidiagonals; A(n, k) = A005836(n+1) + A005836(k+1).
3
0, 1, 1, 3, 2, 3, 4, 4, 4, 4, 9, 5, 6, 5, 9, 10, 10, 7, 7, 10, 10, 12, 11, 12, 8, 12, 11, 12, 13, 13, 13, 13, 13, 13, 13, 13, 27, 14, 15, 14, 18, 14, 15, 14, 27, 28, 28, 16, 16, 19, 19, 16, 16, 28, 28, 30, 29, 30, 17, 21, 20, 21, 17, 30, 29, 30, 31, 31, 31, 31, 22, 22, 22, 22, 31, 31, 31, 31
OFFSET
0,4
COMMENTS
For any v >= 0, the value v appears A120880(v) times.
LINKS
Rémy Sigrist, Table of n, a(n) for n = 0..8255 (antidiagonals for n+k = 0..127 flattened)
FORMULA
A(n, k) = A(k, n).
A(2*n, 2*k) = 3*A(n, k).
EXAMPLE
Array A(n, k) begins:
n\k | 0 1 2 3 4 5 6 7 8 9 10 11 12
----+---------------------------------------------------
0 | 0 1 3 4 9 10 12 13 27 28 30 31 36
1 | 1 2 4 5 10 11 13 14 28 29 31 32 37
2 | 3 4 6 7 12 13 15 16 30 31 33 34 39
3 | 4 5 7 8 13 14 16 17 31 32 34 35 40
4 | 9 10 12 13 18 19 21 22 36 37 39 40 45
5 | 10 11 13 14 19 20 22 23 37 38 40 41 46
6 | 12 13 15 16 21 22 24 25 39 40 42 43 48
7 | 13 14 16 17 22 23 25 26 40 41 43 44 49
8 | 27 28 30 31 36 37 39 40 54 55 57 58 63
9 | 28 29 31 32 37 38 40 41 55 56 58 59 64
10 | 30 31 33 34 39 40 42 43 57 58 60 61 66
11 | 31 32 34 35 40 41 43 44 58 59 61 62 67
12 | 36 37 39 40 45 46 48 49 63 64 66 67 72
PROG
(PARI) A(n, k) = fromdigits(binary(n), 3) + fromdigits(binary(k), 3)
CROSSREFS
KEYWORD
nonn,base,tabl,easy
AUTHOR
Rémy Sigrist, Jul 20 2024
STATUS
approved