$a(n) = [x^{2n}] \left(\frac{1… to Conjectures associated with…
- \(a(n) = \[x^{2n}\] \left(\frac{1 + x}{1 - x}\right)^n\)
- Number of zeros in ternary representation of \(2^n\)
- Array read by upward antidiagonals
- Conjectures associated with A105210
- Indicator sequence for 5 Fibonacci numbers with n digits
- Triangular matchstick numbers in the class of prime numbers
- Imaginary part of \(\prod_{k=0}^n (1 + k \cdot i)\), \(i = \sqrt{-1}\)
- Fibonacci-Collatz sequence
- Sum of squares of nonacci numbers
- Riesel Problem
- \(a(n) = 16n^2 + 1\)
- Digital sum of the Fermat number \(2^{2^n} + 1\)
- A108306: Expansion of \((3x+1)/(1-3x-3x^2)\)
- Numbers \(n\) such that \(\phi(n) = \phi(n + \phi(n))\)
- Numbers \(n\) such that the perfect deficiency of \(n\) is \(\le 10\).
- Numerator of \(\sum_{k=1}^n 2^k/k\).
- Numerator of \(\binom{6n-2}{2n} / \left(2 \binom{4n-1}{2n}\right)\)
- Conjectures associated with A109227
- Conjectures associated with A109671
- Conjectures associated with A109845
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