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A072371
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a(0) = 0, a(1) = 1, a(n+1) = 2*a(n) + (2*n-1)^2*a(n-1).
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0
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1, 2, 5, 28, 181, 1734, 18129, 246072, 3555945, 62478090, 1152624285, 24859839060, 558026987805, 14266908838350, 377300685054825, 11155177913266800, 339620231957641425, 11399366438564677650, 392645165479000867125, 14749514218199731855500, 567030259977151650805125
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| A. E. Jolliffe, Continued Fractions, in Encyclopaedia Britannica, 11th ed., pp. 30-33; see p. 31.
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MAPLE
| f := proc(n) option remember; local a, b, t1, t2, t3, i, j, k; a := 1; b := 2; if n=0 then RETURN(a) elif n=1 then RETURN(b) else RETURN(2*f(n-1)+ (2*n-3)^2*f(n-2)); fi; end;
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CROSSREFS
| Cf. A024199, A024200.
Sequence in context: A151775 A095159 A047132 * A019043 A009635 A138293
Adjacent sequences: A072368 A072369 A072370 * A072372 A072373 A072374
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jul 19 2002
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