OFFSET
1,3
COMMENTS
REFERENCES
Harry Hochstadt, The Functions of Mathematical Physics, Dover, New York, 1986, page 8 and pages 42 - 43
LINKS
Peter Steinbach, Golden fields: a case for the heptagon, Math. Mag. Vol. 70, No. 1, Feb. 1997, 22-31.
EXAMPLE
1;
0, 4;
-3, 0, 12;
0, -16, 0, 32;
5, 0, -60, 0, 80;
0, 36, 0, -192, 0, 192;
-7, 0, 168, 0, -560, 0, 448;
0, -64, 0, 640, 0, -1536,0, 1024;
9, 0, -360, 0, 2160,0, -4032, 0, 2304;
0, 100, 0, -1600, 0, 6720, 0, -10240, 0, 5120;
-11, 0, 660, 0, -6160, 0, 19712, 0, -25344, 0, 11264;
MATHEMATICA
P[x, 0] = 1; P[x, 1] = x; P[x_, n_] := P[x, n] = 2*x*P[x, n - 1] - P[x, n - 2]; Q[x_, n_] := D[P[x, n + 1], x]; a = Table[CoefficientList[Q[x, n], x], {n, 0, 10}]; Flatten[a]
CROSSREFS
KEYWORD
AUTHOR
Roger L. Bagula, Mar 16 2008
STATUS
approved