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Search: id:A080410
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| A080410 |
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Boustrophedon transform of the continued fraction of the Euler-Mascheroni constant, gamma (A001620). |
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+0
2
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| 0, 1, 3, 8, 23, 72, 279, 1236, 6313, 36133, 230119, 1611138, 12308693, 101865629, 907900133, 8669791288, 88309821406, 955736037556, 10951928988000, 132472073263683, 1686686835102650, 22549341913109430, 315817852408881670
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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J. Millar, N. J. A. Sloane and N. E. Young, A new operation on sequences: the Boustrophedon transform, J.Combin. Theory, 17A 44-54 1996 (Abstract, pdf, ps).
N. J. A. Sloane, Transforms
Index entries for sequences related to boustrophedon transform
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FORMULA
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a(n) appears to be asymptotic to C*n!*(2/Pi)^n where C=5.79838940503783299259552225238077705314049166104773668246015... which almost satisfies the polynomial equation 94487-16249C-8C^2=0 - Benoit Cloitre (benoit7848c(AT)orange.fr) and Mark Hudson (mrmarkhudson(AT)hotmail.com)
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EXAMPLE
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We simply apply the Boustrophedon transform to [0,1,1,2,1,2,1,4,3,13,5,1,1,8,1,2,4,1,1,40,...] (A002852)
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CROSSREFS
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Cf. A001620, A002852, A080406-A080409.
Sequence in context: A061557 A000782 A127385 this_sequence A124462 A047857 A101495
Adjacent sequences: A080407 A080408 A080409 this_sequence A080411 A080412 A080413
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KEYWORD
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nonn,easy
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AUTHOR
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Mark Hudson (mrmarkhudson(AT)hotmail.com), Feb 18 2003
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