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A024200
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a(0) = 1, a(1) = 0, a(n+1) = 2*a(n) + (2*n-1)^2*a(n-1).
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4
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1, 0, 1, 2, 29, 156, 2661, 24198, 498105, 6440760, 156833865, 2638782090, 74441298645, 1544798322900, 49615408298925, 1225388793991950, 44177335967379825, 1265953302961023600, 50641025474398676625, 1652074847076051263250, 72631713568603890826125, 2658069269539881753055500
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,4
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COMMENTS
| a(n) = s(1)s(2)...s(n)(1/s(2) - 1/s(3) + ... + c/s(n)) where c=(-1)^n and s(k) = 2k-1 for k = 1,2,3,...
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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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FORMULA
| A024199(n) + A024200(n) = A001147(n) = (2n-1)!! - Max Alekseyev (maxale(AT)gmail.com), Sep 23 2007.
A024199(n)/A024200(n) -> Pi/(4-Pi) as n -> oo. - Max Alekseyev (maxale(AT)gmail.com), Sep 23 2007.
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CROSSREFS
| Sequence in context: A062618 A128842 A028883 * A132412 A009772 A179024
Adjacent sequences: A024197 A024198 A024199 * A024201 A024202 A024203
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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EXTENSIONS
| Revised by N. J. A. Sloane (njas(AT)research.att.com), Jul 19 2002.
Initial terms changed by Max Alekseyev (maxale(AT)gmail.com), Sep 23 2007.
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