The sequence:
1, 1, 5, 7, 4, 6, 3, 5, 2, 4, 1, 3, 9, 2, 8, 1, 7, 11,
6, 10, 5, 9, 4, 8, 3, 7, 2, 6, 1, 5, 13, 4, 12, 3, 11, 2, 10, 1, 9, 15, 8, 14, 7,
13, 6, 12, 5, 11, 4, 10, 3, 9, 2, 8, 1, 7, 17, 6, 16, 5, 15, 4, 14, 3, 13, 2, 12,
1, 11, … (A343039)
The definition of the
sequence:
a(1)=1, for n>1, a(n) is
the smallest positive integer for which a(n-1) + n + a(n) is square.
Hypothesis: the sequence has
an infinite number of 1 members.
Other similar sequences can be
easily created by writing a different number type instead of a square in the
definition (prime number, Fibonacci number, etc.).
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