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A004297
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Expansion of (1+2*x+x^2)/(1-58*x+x^2).
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1
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1, 60, 3480, 201780, 11699760, 678384300, 39334589640, 2280727814820, 132242878669920, 7667806235040540, 444600518753681400, 25779162281478480660, 1494746811806998196880, 86669535922524416938380, 5025338336694609184229160
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| J. M. Alonso, Growth functions of amalgams, in Alperin, ed., Arboreal Group Theory, Springer, pp. 1-34, esp. p. 32.
P. de la Harpe, Topics in Geometric Group Theory, Univ. Chicago Press, 2000, p. 160, middle display.
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LINKS
| Harvey P. Dale, Table of n, a(n) for n = 0..500
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FORMULA
| a(0)=1, a(1)=60, a(2)=3480, a(n)=58*a(n-1)-a(n-2) [From Harvey P. Dale, Dec 30 2011]
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MATHEMATICA
| CoefficientList[Series[(1+2x+x^2)/(1-58x+x^2), {x, 0, 30}], x] (* or *) Join[{1}, LinearRecurrence[{58, -1}, {60, 3480}, 30]] (* From Harvey P. Dale, Dec 30 2011 *)
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CROSSREFS
| Sequence in context: A082670 A084659 A180373 * A053401 A159991 A042741
Adjacent sequences: A004294 A004295 A004296 * A004298 A004299 A004300
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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