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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

Table of n, a(n) for n=1..27.

Peter Steinbach, Golden fields: a case for the heptagon, Math. Mag. Vol. 70, No. 1, Feb. 1997, 22-31.

Index entries for linear recurrences with constant coefficients, signature (3,6,-30,34,-12,1).

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 A103971 A270085

Adjacent sequences:  A122170 A122171 A122172 * A122174 A122175 A122176

KEYWORD

sign,easy

AUTHOR

Gary W. Adamson and Roger L. Bagula, Oct 17 2006

EXTENSIONS

Sequence edited by Joerg Arndt, Colin Barker, Bruno Berselli, Oct 19 2012

STATUS

approved

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Last modified August 14 10:47 EDT 2020. Contains 336480 sequences. (Running on oeis4.)