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A133605
Elements of A011185 that are also the sum of a pair of distinct elements of A011185.
2
3, 5, 8, 13, 21, 74, 95, 182, 212, 413, 862, 1060, 1435, 1934, 4447, 5323, 7588, 19934, 23725, 24970, 29558, 43344, 45425, 48622, 55240, 63835, 91336, 98178, 177387, 180356, 206088, 333837, 400924, 418503, 429115, 598604, 776150, 990510, 993089
OFFSET
1,1
COMMENTS
A011185 is the sequence of smallest numbers such that the pairwise sums of distinct elements are all distinct.
LINKS
EXAMPLE
A011185(1) = 1, A011185(2) = 2. 1 + 2 = 3 = A011185(3), hence 3 is in the sequence.
A011185(16) = 212, A011185(35) = 1722. 212 + 1722 = 1934 = A011185(37), hence 1934 is in the sequence.
PROG
(Python)
from itertools import count, islice
def A133605_gen(): # generator of terms
aset2, alist = set(), []
for k in count(1):
bset2 = set()
for a in alist:
if (b:=a+k) in aset2:
break
bset2.add(b)
else:
if k in aset2:
yield k
alist.append(k)
aset2.update(bset2)
A133605_list = list(islice(A133605_gen(), 30)) # Chai Wah Wu, Sep 11 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
Klaus Brockhaus, Sep 18 2007
STATUS
approved