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A032346 Essentially shifts 1 place right under inverse binomial transform. 2
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; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

With leading 0 and offset 1, number of permutations beginning with 21 and avoiding 3-12. - Ralf Stephan, Apr 25 2004

LINKS

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).

FORMULA

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

CROSSREFS

Cf. A032347, A046934.

Sequence in context: A150220 A168653 A032347 * A148495 A150221 A063689

Adjacent sequences:  A032343 A032344 A032345 * A032347 A032348 A032349

KEYWORD

nonn,nice,easy,eigen

AUTHOR

Joe K. Crump (joecr(AT)carolina.rr.com)

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Last modified February 15 14:57 EST 2012. Contains 205823 sequences.