This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A103193 Vector Markov sequence associated with a=1 of the polynomial x^3-(2*a+1)*x^2+(a^2+2*a+1)*x+(a^2+2*a-1) (second type). 1
 0, 1, 1, 1, 1, 1, 5, 1, -5, -7, 1, -1, 33, 1, -1, -255, 1, 255, 1, 1, -2049, 16385, 1, -32769, 262145, 1, -524289, 1, 1, -8388609, -268435455, 1, 268435455, 8589934593, 1, -1, -549755813887, 1, -1, 70368744177665, 1, -70368744177665, 1, 1, 9007199254740991, -1152921504606846975 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 COMMENTS Tiles are known to be associated with some of the matrices in this reference paper. REFERENCES Richard Kenyon et al., Geometry of Self-Affine Tiles II, Indiana Univ. Math. J., Vol. 48, No. 1 (1999), 24-42. LINKS Richard Kenyon, The Construction of Self-Similar Tilings Richard Kenyon, Papers. FORMULA M = {{2, 0, 1}, {a - 1, a, 0}, {a - 3, 1, a - 1}}; vector function v[n]=M.v[n-1]; a(n) = sequence of vector components of M^n.v[0]. MATHEMATICA a = 1; M1 = {{2, 0, 1}, {a - 1, a, 0}, {a - 3, 1, a - 1}}; v[0] = {0, 1, 1}; v[1] = {1, 1, 1}; v[n_] := v[n] = MatrixPower[M1, n].v[n - 1]; b = Flatten[Table[v[n], {n, 0, 15}]] CROSSREFS Cf. A103191. Sequence in context: A054244 A093562 A081774 * A011093 A062176 A129769 Adjacent sequences:  A103190 A103191 A103192 * A103194 A103195 A103196 KEYWORD sign AUTHOR Roger Bagula, Mar 18 2005 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .