

A134564


Array read by antidiagonals: row n consists of numbers whose 4thorder Zeckendorf representation has exactly n terms.


2



1, 2, 6, 3, 8, 25, 4, 9, 32, 94, 5, 11, 34, 120, 344, 7, 12, 35, 127, 439, 1251, 10, 13, 42, 129, 465, 1596, 4543, 14, 15, 44, 130, 472, 1691
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


COMMENTS

A permutation of the positive integers.


LINKS



FORMULA

Row 1, A035513, is the 4thorder Zeckendorf basis, b(1), b(2), b(3), .... Every positive integer has a unique 4thorder Zeckendorf representation b(i(1)) + b(i(2)) + ... + b(i(n)), where i(h)  i(j) >= 4 for distinct h and j.


EXAMPLE

Northwest corner:
1 2 3 4 5 7 10 14 19 26 36 50 69 ...
6 8 9 11 12 13 ...
25 32 34 35 42 44 ...
94 120 127 129 130 156 ...
For example, 32 = 26 + 5 + 1 has 3 terms, so 32 is in row 3.


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



