|
%I #7 Feb 24 2019 01:15:15
%S 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,
%T 21,47,42,39,32,23,17,12,34,76,68,63,52,37,28,19,14,55,123,110,102,84,
%U 60,45,31,22,16,89,199,178,165,136,97,73,50,36,25,17
%N Wythoff array with one extra column, read by antidiagonals downwards.
%D Conway, John; Ryba, Alex; The extra Fibonacci series and the Empire State Building. Math. Intelligencer 38 (2016), no. 1, 41-48.
%e 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:
%e 0 1 | 1 2 3 5 8 13 21 34 55 89 144 ...
%e 1 3 | 4 7 11 18 29 47 76 123 199 322 521 ...
%e 2 4 | 6 10 16 26 42 68 110 178 288 466 754 ...
%e 3 6 | 9 15 24 39 63 102 165 267 432 699 1131 ...
%e 4 8 | 12 20 32 52 84 136 220 356 576 932 1508 ...
%e 5 9 | 14 23 37 60 97 157 254 411 665 1076 1741 ...
%e 6 11 | 17 28 45 73 118 191 309 500 809 1309 2118 ...
%e 7 12 | 19 31 50 81 131 212 343 555 898 1453 2351 ...
%e 8 14 | 22 36 58 94 152 246 398 644 1042 1686 2728 ...
%e 9 16 | 25 41 66 107 173 280 453 733 1186 1919 3105 ...
%e 10 17 | 27 44 71 115 186 301 487 788 1275 2063 3338 ...
%e 11 19 | 30 49 79 ...
%e 12 21 | 33 54 87 ...
%e 13 22 | 35 57 92 ...
%e 14 24 | 38 62 ...
%e 15 25 | 40 65 ...
%e 16 27 | 43 70 ...
%e 17 29 | 46 75 ...
%e 18 30 | 48 78 ...
%e 19 32 | 51 83 ...
%e 20 33 | 53 86 ...
%e 21 35 | 56 91 ...
%e 22 37 | 59 96 ...
%e 23 38 | 61 99 ...
%e 24 40 | 64 ...
%e 25 42 | 67 ...
%e 26 43 | 69 ...
%e 27 45 | 72 ...
%e 28 46 | 74 ...
%e 29 48 | 77 ...
%e 30 50 | 80 ...
%e 31 51 | 82 ...
%e 32 53 | 85 ...
%e 33 55 | 88 ...
%e 34 56 | 90 ...
%e 35 58 | 93 ...
%e 36 59 | 95 ...
%e 37 61 | 98 ...
%e 38 63 | ...
%e ...
%e The present sequence presents the array with just the rightmost extra column.
%Y Cf. A035513 (the Wythoff array), A287870, A000201.
%K nonn,tabl
%O 1,3
%A _N. J. A. Sloane_, Jun 14 2017
|
