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A094864
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a(0)=1, a(1)=2, a(2)=6, a(3)=18; for n>=4, a(n) = 6*a(n-1)-11*a(n-2)+6*a(n-3)-a(n-4).
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2
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1, 2, 6, 18, 53, 154, 443, 1264, 3582, 10092, 28291, 78962, 219541, 608318, 1680438, 4629414, 12722033, 34882954, 95451407, 260698732, 710802606, 1934955072, 5259642751, 14277467618, 38707663273, 104816737274, 283521290598, 766112145594, 2068131437357
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| E. Barcucci, R. Pinzani and R. Sprugnoli, Directed column-convex polyominoes by recurrence relations, Lecture Notes in Computer Science, No. 668, Springer, Berlin (1993), pp. 282-298.
S. Rinaldi, D. G. Rogers, How the odd terms in the Fibonacci sequence stack up, Math. Gaz. vol 90, no 519 (2006) pp. 431-442.
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LINKS
| S. Rinaldi, D. G. Rogers, How the odd terms in the Fibonacci sequence stack up, 8th Nordic Comb. Conf, Aalborg, Denmark, Oct 20 2004.
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FORMULA
| O.g.f: -(2*x-1)*(x-1)^2/(x^2-3*x+1)^2 = (-1-2*x)/(x^2-3*x+1)+(2-5*x)/(x^2-3*x+1)^2 . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Dec 02 2007
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CROSSREFS
| Sequence in context: A077984 A052979 A005507 * A120010 A132790 A072850
Adjacent sequences: A094861 A094862 A094863 * A094865 A094866 A094867
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jun 14 2004
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