WCoefficients

Solver of W Coefficients

Input

the largest n to be solved

Output

n,k,W coefficients

1,1,W₁^1,1

2,1,W₁^2,1, W₂^2,1

2,2,W₁^2,2, W₂^2,2,

3,1,W₁^3,1,W₂^3,1,W₃^3,1

...

n,n-1,W₁^n,n-1,W₂^n,n-1,...,W_n^n,n-1

n,n,W₁^n,n,W₂^n,n,...,W_n^n,n

Document/Paper

Citing the paper is better: https://arxiv.org/abs/1707.08860

Some Frequently Used W Coefficients (W^n,k_i)

W1,11: 1	W6,12: -15	W7,37: 15	W8,58: -35	W9,47: -720	W10,33: 120
W2,11: 2	W6,13: 20	W7,44: 35	W8,55: 56	W9,48: 315	W10,34: -630
W2,12: -1	W6,14: -15	W7,45: -84	W8,56: -140	W9,49: -56	W10,35: 1512
W2,11: 0	W6,15: 6	W7,46: 70	W8,57: 120	W9,58: -315	W10,36: -2100
W2,22: 1	W6,16: -1	W7,47: -20	W8,68: 21	W9,59: 70	W10,37: 1800
W3,11: 3	W6,22: 15	W7,55: 21	W8,66: 28	W9,55: 126	W10,38: -945
W3,12: -3	W6,23: -40	W7,56: -35	W8,67: -48	W9,56: -420	W10,39: 280
W3,13: 1	W6,24: 45	W7,57: 15	W8,78: -7	W9,57: 540	W10,310: -36
W3,22: 3	W6,25: -24	W7,66: 7	W8,77: 8	W9,68: 189	W10,44: 210
W3,23: -2	W6,26: 5	W7,67: -6	W8,88: 1	W9,69: -56	W10,45: -1008
W3,33: 1	W6,33: 20	W7,77: 1	W9,11: 9	W9,66: 84	W10,46: 2100
W4,11: 4	W6,34: -45	W8,11: 8	W9,12: -36	W9,67: -216	W10,47: -2400
W4,12: -6	W6,35: 36	W8,12: -28	W9,13: 84	W9,78: -63	W10,48: 1575
W4,13: 4	W6,36: -10	W8,13: 56	W9,14: -126	W9,79: 28	W10,49: -560
W4,14: -1	W6,44: 15	W8,14: -70	W9,15: 126	W9,77: 36	W10,410: 84
W4,22: 6	W6,45: -24	W8,15: 56	W9,16: -84	W9,88: 9	W10,55: 252
W4,23: -8	W6,46: 10	W8,16: -28	W9,17: 36	W9,89: -8	W10,56: -1050
W4,24: 3	W6,55: 6	W8,17: 8	W9,18: -9	W9,99: 1	W10,57: 1800
W4,33: 4	W6,56: -5	W8,18: -1	W9,19: 1	W10,11: 10	W10,58: -1575
W4,34: -3	W6,66: 1	W8,22: 28	W9,22: 36	W10,12: -45	W10,59: 700
W4,44: 1	W7,11: 7	W8,23: -112	W9,23: -168	W10,13: 120	W10,510: -126
W5,11: 5	W7,12: -21	W8,24: 210	W9,24: 378	W10,14: -210	W10,68: 945
W5,12: -10	W7,13: 35	W8,25: -224	W9,25: -504	W10,15: 252	W10,69: -560
W5,13: 10	W7,14: -35	W8,26: 140	W9,26: 420	W10,16: -210	W10,610: 126
W5,14: -5	W7,15: 21	W8,27: -48	W9,27: -216	W10,17: 120	W10,66: 210
W5,15: 1	W7,16: -7	W8,28: 7	W9,28: 63	W10,18: -45	W10,67: -720
W5,22: 10	W7,17: 1	W8,33: 56	W9,29: -8	W10,19: 10	W10,78: -315
W5,23: -20	W7,22: 21	W8,34: -210	W9,33: 84	W10,110: -1	W10,79: 280
W5,24: 15	W7,23: -70	W8,35: 336	W9,34: -378	W10,22: 45	W10,710: -84
W5,25: -4	W7,24: 105	W8,36: -280	W9,35: 756	W10,23: -240	W10,77: 120
W5,33: 10	W7,25: -84	W8,37: 120	W9,36: -840	W10,24: 630	W10,88: 45
W5,34: -15	W7,26: 35	W8,38: -21	W9,37: 540	W10,25: -1008	W10,89: -80
W5,35: 6	W7,27: -6	W8,48: 35	W9,38: -189	W10,26: 1050	W10,810: 36
W5,44: 5	W7,33: 35	W8,44: 70	W9,39: 28	W10,27: -720	W10,99: 10
W5,45: -4	W7,34: -105	W8,45: -224	W9,44: 126	W10,28: 315	W10,910: -9
W5,55: 1	W7,35: 126	W8,46: 280	W9,45: -504	W10,29: -80	W10,1010: 1
W6,11: 6	W7,36: -70	W8,47: -160	W9,46: 840	W10,210: 9