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A122173 Expansion of -x * (x^5+x^4-15*x^3+19*x^2-8*x+1) / (x^6-12*x^5+34*x^4-30*x^3+6*x^2+3*x-1). 0
1, -5, 10, -45, 110, -421, 1148, -4037, 11697, -39250, 117736, -384657, 1177235, -3787218, 11727187, -37389217, 116571621, -369712938, 1157315631, -3659226205, 11481436216, -36237006073, 113856243558, -358967583724, 1128781753801, -3556642214960, 11189229179710 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
LINKS
Peter Steinbach, Golden fields: a case for the heptagon, Math. Mag. Vol. 70, No. 1, Feb. 1997, 22-31.
FORMULA
G.f.: -x*(x^5+x^4-15*x^3+19*x^2-8*x+1)/(x^6-12*x^5+34*x^4-30*x^3+6*x^2+3*x-1). [Colin Barker, Oct 19 2012]
MATHEMATICA
M = {{0, -1, -1, -1, -1, -1}, {-1, 0, -1, -1, -1, 0}, {-1, -1, 0, -1, 0, 0}, {-1, -1, -1, 1, 0, 0}, {-1, -1, 0, 0, 1, 0}, {-1, 0, 0, 0, 0, 1}}; v[1] = {1, 1, 1, 1, 1, 1}; v[n_] := v[n] = M.v[n - 1]; a = Table[Floor[v[n][[1]]], {n, 1, 50}]
CROSSREFS
Cf. A046854. Cf. A046854. Cf. A007700, A059455. Cf. A065941.
Sequence in context: A316546 A187877 A328605 * A083515 A343467 A103971
KEYWORD
sign,easy
AUTHOR
EXTENSIONS
Sequence edited by Joerg Arndt, Colin Barker, Bruno Berselli, Oct 19 2012
STATUS
approved

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Last modified May 30 03:05 EDT 2024. Contains 372957 sequences. (Running on oeis4.)