A287869 Wythoff array with one extra column, read by antidiagonals downwards.

1, 1, 3, 2, 4, 4, 3, 7, 6, 6, 5, 11, 10, 9, 8, 8, 18, 16, 15, 12, 9, 13, 29, 26, 24, 20, 14, 11, 21, 47, 42, 39, 32, 23, 17, 12, 34, 76, 68, 63, 52, 37, 28, 19, 14, 55, 123, 110, 102, 84, 60, 45, 31, 22, 16, 89, 199, 178, 165, 136, 97, 73, 50, 36, 25, 17

Offset

1,3

References

Conway, John; Ryba, Alex; The extra Fibonacci series and the Empire State Building. Math. Intelligencer 38 (2016), no. 1, 41-48.

Links

Table of n, a(n) for n=1..66.

Example

The extended Wythoff array is the Wythoff array with two extra columns, giving the row number n and A000201(n), separated from the main array by a vertical bar:
0     1  |   1    2    3    5    8   13   21   34   55   89  144   ...
1     3  |   4    7   11   18   29   47   76  123  199  322  521   ...
2     4  |   6   10   16   26   42   68  110  178  288  466  754   ...
3     6  |   9   15   24   39   63  102  165  267  432  699 1131   ...
4     8  |  12   20   32   52   84  136  220  356  576  932 1508   ...
5     9  |  14   23   37   60   97  157  254  411  665 1076 1741   ...
6    11  |  17   28   45   73  118  191  309  500  809 1309 2118   ...
7    12  |  19   31   50   81  131  212  343  555  898 1453 2351   ...
8    14  |  22   36   58   94  152  246  398  644 1042 1686 2728   ...
9    16  |  25   41   66  107  173  280  453  733 1186 1919 3105   ...
10   17  |  27   44   71  115  186  301  487  788 1275 2063 3338   ...
11   19  |  30   49   79   ...
12   21  |  33   54   87   ...
13   22  |  35   57   92   ...
14   24  |  38   62   ...
15   25  |  40   65   ...
16   27  |  43   70   ...
17   29  |  46   75   ...
18   30  |  48   78   ...
19   32  |  51   83   ...
20   33  |  53   86   ...
21   35  |  56   91   ...
22   37  |  59   96   ...
23   38  |  61   99   ...
24   40  |  64   ...
25   42  |  67   ...
26   43  |  69   ...
27   45  |  72   ...
28   46  |  74   ...
29   48  |  77   ...
30   50  |  80   ...
31   51  |  82   ...
32   53  |  85   ...
33   55  |  88   ...
34   56  |  90   ...
35   58  |  93   ...
36   59  |  95   ...
37   61  |  98   ...
38   63  |     ...
   ...
The present sequence presents the array with just the rightmost extra column.

Crossrefs

Cf. A035513 (the Wythoff array), A287870, A000201.

Sequence in context: A236333 A128220 A258242 * A134749 A061901 A376741

Adjacent sequences: A287866 A287867 A287868 * A287870 A287871 A287872

Keyword

nonn,tabl

Author

N. J. A. Sloane, Jun 14 2017

Status

approved