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A309899
Numbers k = 1, 2, 3, ... are added to the sequence along with k blanks. Next, the numbers k + 1 are inserted on the blanks along with k + 1 blanks. This process is then repeated.
1
1, 2, 2, 3, 4, 3, 3, 5, 6, 4, 4, 4, 7, 8, 5, 5, 9, 5, 5, 10, 6, 6, 11, 12, 6, 6, 6, 7, 7, 13, 14, 8, 7, 7, 15, 8, 7, 7, 16, 9, 17, 8, 8, 18, 9, 10, 8, 8, 8, 19, 20, 9, 9, 11, 10, 21, 22, 9, 9, 12, 9, 9, 10, 10, 23, 11, 24, 13, 25, 10, 10, 11, 26
OFFSET
1,2
LINKS
EXAMPLE
The first elements are:
1 _ 2 _ _ 3 _ _ _ 4 _ _ _ _ 5 _ _ _ _ _
2 _ _ 3 _ _ _ 4 _ _ _ _ 5 _ _
3 _ _ _ 4 _ _ _ _ 5 _
4 _ _ _ _ 5 _ _
5 _ _ _ _ _
.
1 2 2 3 4 3 3 5 6 4 4 4 7 8 5 5 9 5 5 10
PROG
(Python)
seq = []
for n in range(1, 100): seq += [n] + n*[-1]
for n in range(2, len(seq)):
value = n
gaps = 0
position = n - 1
while position < len(seq):
if seq[position] == -1:
if gaps > 0: gaps -= 1
else:
seq[position] = value
gaps = value
value += 1
position += 1
print(seq)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Jan Koornstra, Aug 21 2019
STATUS
approved