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Search: id:A060346
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| A060346 |
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Numerators of sequence arising from study of Calabi-Yau manifolds. |
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+0
2
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| -1, -3, -11, -217, -889, -6207, -395583, -11872529, -51190172, -3320575453, -71855148782, -1138862383991, -73603597626136, -585764974480039, -5810293262069806, -9158417736096173491, -75787432383189077231, -289633090947850663933
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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P. Candelas et al., A pair of Calabi-yau manifolds as an exactly soluble superconformal theory, Nuclear Phys. B 359 (1991), 21-74 (see p. 73).
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EXAMPLE
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-1/5, -3/50, -11/375, -217/12500, -889/78125, -6207/781250, ...
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MAPLE
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a := proc(n) option remember; local t1; if n<0 then RETURN(0) elif n=0 then RETURN(-1/5) elif n=1 then RETURN(-3/50) else t1 := 125*n*(n-1)*(20*n^2-40*n+23)*f(n-1) -125*(n-1)*(30*n^3-150*n^2+261*n-157)*a(n-2) +(2500*n^4-22500*n^3+76625*n^2-116875*n+67226)*a(n-3) -625*(n-3)^4*a(n-4); t1 := eval(t1); RETURN(t1/( 625*n^2*(n^2-1) )); fi; end;
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CROSSREFS
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Cf. A060347.
Sequence in context: A125738 A092840 A007156 this_sequence A165946 A112357 A097423
Adjacent sequences: A060343 A060344 A060345 this_sequence A060347 A060348 A060349
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KEYWORD
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sign,frac
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Mar 30 2001
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