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A287870 The extended Wythoff array (the Wythoff array with two extra columns) read by antidiagonals downwards. 2
0, 1, 1, 1, 3, 2, 2, 4, 4, 3, 3, 7, 6, 6, 4, 5, 11, 10, 9, 8, 5, 8, 18, 16, 15, 12, 9, 6, 13, 29, 26, 24, 20, 14, 11, 7, 21, 47, 42, 39, 32, 23, 17, 12, 8, 34, 76, 68, 63, 52, 37, 28, 19, 14, 9, 55, 123, 110, 102, 84, 60, 45, 31, 22, 16, 10, 89, 199, 178, 165, 136, 97, 73, 50, 36, 25, 17, 11 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

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..78.

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 | ...

...

CROSSREFS

Cf. A035513 (the Wythoff array), A287869, A000201.

Sequence in context: A111739 A182214 A216161 * A235354 A058743 A117970

Adjacent sequences:  A287867 A287868 A287869 * A287871 A287872 A287873

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Jun 14 2017

STATUS

approved

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Last modified October 15 16:14 EDT 2018. Contains 316236 sequences. (Running on oeis4.)