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A138893
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A generalized Chamberland function.
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1
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0, 11, 36, 29, 8, 47, 100, 65, 16, 83, 164, 101, 24, 119, 228, 137, 32, 155, 292, 173, 40, 191, 356, 209, 48, 227, 420, 245, 56, 263, 484, 281, 64, 299, 548, 317, 72, 335, 612, 353, 80, 371, 676, 389, 88, 407, 740
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The orbit of a(n) beginning at 1 is A138894.
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REFERENCES
| M. Chamberland, A Continuous Extension of the 3x+1 Problem to the Real Line, Dynamics of Continuous, Discrete and Impulsive Dynamical Systems 2(1996), 495-509
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FORMULA
| G.f.: x(11+14x-10x^2+14x^3+7x^4)/((1-x)^2(1+x^2)^2); a(n)=9n+2-(7n+2)cos(pi*n/2); a(n)=6((n/3)*(cos(pi*n/4))^2+(2/3)*(4n+1)*(sin(pi*n/4))^2); a(4n)=8n; a(4n+1)=11+36n; a(4n+2)=4*(9+16n); a(4n+3)=29+36n;
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CROSSREFS
| Sequence in context: A123749 A159493 A012644 * A191292 A107280 A044088
Adjacent sequences: A138890 A138891 A138892 * A138894 A138895 A138896
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Apr 02 2008
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