A122068 - OEIS

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A122068

Expansion of x*(1-3*x)*(1-x)/ (1-7*x+14*x^2-7*x^3).

1, 3, 10, 35, 126, 462, 1715, 6419, 24157, 91238, 345401, 1309574, 4970070, 18874261, 71705865, 272491891, 1035680954, 3936821259, 14965658694, 56893879910, 216295686467, 822315097387, 3126323230541, 11885921055638 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	REFERENCES	`Peter Steinbach, "Golden Fields: A Case for the Heptagon", Mathematics Magazine, Vol. 70, No. 1, Feb. 1997.`
	LINKS	`Index to sequences with linear recurrences with constant coefficients, signature (7,-14,7)`
	MATHEMATICA	`M = {{2, 1, 0, 0, 0, 0}, {1, 2, 1, 0, 0, 0}, {0, 1, 2, 1, 0, 0}, {0, 0, 1, 2, 1, 0}, {0, 0, 0, 1, 2, 1}, {0, 0, 0, 0, 1, 2}}; v[1] = {1, 1, 1, 1, 1, 1}; v[n_] := v[n] = M.v[n - 1]; a = Table[v[n][[1]], {n, 1, 50}]`
	CROSSREFS	`Cf. A087946, A081567.` `Sequence in context: A047037 A201058 A087946 * A099908 A167403 A001700` `Adjacent sequences: A122065 A122066 A122067 * A122069 A122070 A122071`
	KEYWORD	`nonn`
	AUTHOR	`Gary Adamson (rlbagulatftn(AT)yahoo.com), Oct 15 2006`

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Last modified February 17 08:44 EST 2012. Contains 205998 sequences.