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A049868
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a(n)=Sum{a(k): k=0,1,2,...,n-4,n-2,n-1}; a(n-3) is not a summand; 3 initial terms required.
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0
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1, 2, 2, 4, 7, 14, 26, 49, 91, 170, 317, 592, 1105, 2063, 3851, 7189, 13420, 25052, 46766, 87301, 162970, 304226, 567917, 1060165, 1979074, 3694457, 6896666, 12874423, 24033463, 44864717, 83751677, 156344314, 291857374
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n)=2*a(n-1)-a(n-3)+a(n-4); 4 initial terms required.
G.f.: (1-2x^2+x^3)/(1-2x+x^3-x^4). - Ralf Stephan (ralf(AT)ark.in-berlin.de), Mar 11 2003
Asymptotic to b*c^n, with b=0.617072414.., c=1.8667604.. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Mar 11 2003
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CROSSREFS
| Sequence in context: A067953 A109070 A169973 * A120363 A118988 A049904
Adjacent sequences: A049865 A049866 A049867 * A049869 A049870 A049871
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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