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Search: id:A032346
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| A032346 |
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Essentially shifts 1 place right under inverse binomial transform. |
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+0
3
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| 1, 1, 2, 6, 21, 82, 354, 1671, 8536, 46814, 273907, 1700828, 11158746, 77057021, 558234902, 4230337018, 33448622893, 275322101318, 2354401779494, 20878592918183, 191682453823420, 1819147694792802, 17822073621801124
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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With leading 0 and offset 1, number of permutations beginning with 21 and avoiding 3-12. - Ralf Stephan, Apr 25 2004
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LINKS
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N. J. A. Sloane, Transforms
S. Kitaev and T. Mansour, Simultaneous avoidance of generalized patterns.
S. Kitaev, Generalized pattern avoidance with additional restrictions, Sem. Lothar. Combinat. B48e (2003).
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FORMULA
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With offset 1, e.g.f.: x + exp(exp(x)) * int[0..x, exp(-exp(t))*sum(n>=1, t^n/n!) dt]. - Ralf Stephan, Apr 25 2004
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CROSSREFS
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Cf. A032347, A046934.
Sequence in context: A150219 A150220 A032347 this_sequence A148495 A150221 A063689
Adjacent sequences: A032343 A032344 A032345 this_sequence A032347 A032348 A032349
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KEYWORD
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nonn,nice,easy,eigen
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AUTHOR
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Joe K. Crump (joecr(AT)carolina.rr.com)
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