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A183544
Ordering of the numbers in the tree A183542; complement of A183545.
3
1, 2, 4, 5, 7, 8, 9, 12, 13, 14, 15, 16, 20, 21, 22, 23, 24, 25, 26, 27, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103
OFFSET
1,2
FORMULA
The monotonic ordering of the numbers in the set S generated by these rules: 1 is in S, and if n is in S, then -2+Floor[(n+2)r] and n+Floor[(n+2)r] are in S, where r=(1+sqrt(5))/2, the golden ratio.
MATHEMATICA
nn=200; g=(1+5^(1/2))/2; t={1}; t0=t; While[t=Select[Union[t, -2+Floor[(t+2)g], t+Floor[(t+2)g]], #<=nn&]; t0 !=t, t0=t]; t
PROG
(Python)
from itertools import islice
def A183544_gen(): # generator of terms
a, b, i = 1, 1, 0
while True:
yield from (j+a for j in range(i, i+a))
i += a
a, b = b, a+b
A183544_list = list(islice(A183544_gen(), 30)) # Chai Wah Wu, Oct 13 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
Clark Kimberling, Jan 05 2011
STATUS
approved