Proof methods / preserver_image
Image under a real-rootedness preserver
Parameters (20)
- all
- derivative_polynomial, shift 0 3144 proof steps, 2807 sequences
- euler_polynomial, shift 0 2783 proof steps, 2420 sequences
- affine, shift 0 1772 proof steps, 1584 sequences
- reversal, shift 0 1263 proof steps, 1112 sequences
- mobius, shift 0 1219 proof steps, 1093 sequences
- reversal, shift 1 7 proof steps, 5 sequences
- hadamard_multiplier, shift 0 6 proof steps, 5 sequences
- affine, shift -1 6 proof steps, 5 sequences
- affine, shift 1 5 proof steps, 4 sequences
- hadamard_multiplier, shift 2 4 proof steps, 3 sequences
- affine, shift 2 3 proof steps, 3 sequences
- euler_polynomial, shift 1 3 proof steps, 2 sequences
- derivative_of_power_multiple, shift 1 2 proof steps, 1 sequences
- derivative_polynomial, shift 2 2 proof steps, 1 sequences
- euler_polynomial, shift 2 2 proof steps, 1 sequences
- hadamard_multiplier, shift -1 2 proof steps, 2 sequences
- derivative_of_power_multiple, shift 0 1 proof steps, 1 sequences
- derivative_polynomial, shift -1 1 proof steps, 1 sequences
- hadamard_multiplier, shift 1 1 proof steps, 1 sequences
- reversal, shift -1 1 proof steps, 1 sequences
8,704 sequences
-
A114655 → (θ+1)²
2 · 4, 8 · 8, 48, 18 · 16, 192, 216, 32 … Σ 2, 12, 74, 456, 2802, 17156, 104666, …
-
A207824 → basis A013609 → D
2 · 24, 8 · 212, 144, 24 · 1656, 1704, 576, 64 … Σ 0, 2, 32, 380, 4000, 39430, 372928, …
-
A269944 → basis A013609 → θ+1
1 · 1, 4 · 2, 12, 12 · 10, 68, 96, 32 … Σ 1, 5, 26, 206, 2640, 52176, 1499232, …
-
A038208 → basis A007318
1 · 4, 2 · 16, 16, 4 · 64, 96, 48, 8 … Σ 1, 6, 36, 216, 1296, 7776, 46656, …