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A287869 Wythoff array with one extra column, read by antidiagonals downwards. 2
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 (list; table; graph; refs; listen; history; text; internal format)
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 right-most extra column.

CROSSREFS

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

Sequence in context: A236333 A128220 A258242 * A134749 A061901 A078822

Adjacent sequences:  A287866 A287867 A287868 * A287870 A287871 A287872

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Jun 14 2017

STATUS

approved

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Last modified February 22 06:17 EST 2018. Contains 299430 sequences. (Running on oeis4.)