Not sure about "completing" the pattern since there following is the solution from an infinite sequence. You can fit the polynomial:
t(n) = (-45n6 + 993n5 - 8385n4 + 33895n3 - 66930n2 + 59192n - 15360)/240 with n = 1, 2, 3, ...
and the next term will be -308.
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The 2 numbers in a row are multiplied, then you subtract one and that's the next number in the sequence. EG, 2x2 = 4 4-1=3 2x3=6 6-1=5 3x5=15 15-1=14 number sequence is 2, 2, 3, 5, 14
77-49=28÷2=〔14〕 21+14=35 35+14=49 49+14=63 63+14=77
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14
There are not many numbers in the sequence here, but one solution that holds for this series is to take the first number, double it to get the second number, add 1 to get the next number, and repeat. So, the pattern would continue as follows: 1, 2, 3, 6, 7, 14, 15, 30, 31, 62, 63