[seqfan] Sequence from ChatGPT

[israel at math.ubc.ca]

Out of curiosity, I asked ChatGPT:

Write a new sequence for the Online Encyclopedia of Integer Sequences

The result was
****************
Sequence: A374629

Title: Concatenation of Fibonacci numbers with perfect squares.

Definition: The sequence starts with 0 and includes all positive integers 
that can be expressed as a concatenation of a Fibonacci number and a 
perfect square, in any order.

Example: The first terms of the sequence are:

0, 1, 4, 5, 9, 10, 16, 19, 25, 29, 36, 41, 49, 56, 64, 81, 90, 100, 109, 
121, 130, 144, 155, 169, 190, 196, 225, 244, 256, 289, 306, 324, 361, 380, 
400, 441, 464, 484, 529, 556, 576, 625, 656, 676, 729, 760, 784, 841, 874, 
900, 961, 1000, 1089, 1124, 1156, 1225, 1264, 1296, 1369, 1410, 1444, 1521, 
1564, 1600, 1681, 1726, 1764, 1849, 1898, 1936, 2025, 2076, 2116, 2209, 
2260, 2304, 2401, 2454, 2500, 2601, 2656, 2704, 2809, 2866, 2916, 3025, 
3084, 3136, 3249, 3310, 3364, 3481, 3544, 3600, 3721, 3786, 3844, 3969, 
4036, 4096, 4225, 4294, 4356, 4489, 4560, 4624, 4761, 4834, 4900, 5041, 
5116, 5184, 5329, 5406, 5476, 5625, 5704, 5776, 5929, 6010, 6084, 6241, 
6324, 6400, 6561, 6646, 6724, 6889, 6970, 7056, 7225, 7310, 7396, 7569, 
7656, 7744, 7921, 8010, 8100, 8281, 8374, 8464, 8649, 8746, 8836, 9025, 
9124, 9216, 9409, 9510, 9604, 9801, 9902, 10000, ...

Explanation: The Fibonacci sequence is a well-known sequence of numbers 
where each term is the sum of the two preceding terms. The perfect squares 
are the numbers that can be written as the square of an integer. This 
sequence is the concatenation of both of these types of numbers in any 
order. For example, 0 is included because it is the concatenation of the 
Fibonacci number 0 and the perfect square 0. The number 16 is also included 
because it can be written as the concatenation of the Fibonacci number 5 
and the perfect square 11. ********************

Of course the A-number is bogus, and the Example is nonsense, but the 
Definition is not too bad. The sequence of concatenations of Fibonacci 
numbers and squares in both orders (not allowing leading 0's) is

10, 11, 12, 13, 14, 15, 18, 19, 20, 21, 24, 29, 30, 31, 34, 39, 40, 41, 42, 
43, 45, 48, 50, 51, 54, 59, 80, 81, 84, 89, 90, 91, 92, 93, 95, 98, 113, 
116, 121, 125, 130, 131, 134, 136, 139, 149, 155, 160, 161, 162, 163, 164, 
165, 168, 181, 189, 210, 211, 214, 216, 219, 225, 236, 249, 250, 251, 252, 
253, 255, 258, ...

which doesn't seem to be in OEIS, and I think I'll contribute it. The 
question is, should I give credit to ChatGPT as a joint author?

Cheers,
Robert