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A064315 Triangle of number of permutations by length of shortest ascending run. +0
2
1, 1, 1, 5, 0, 1, 18, 5, 0, 1, 101, 18, 0, 0, 1, 611, 89, 19, 0, 0, 1, 4452, 519, 68, 0, 0, 0, 1, 36287, 3853, 110, 69, 0, 0, 0, 1, 333395, 27555, 1679, 250, 0, 0, 0, 0, 1, 3382758, 233431, 11941, 418, 251, 0, 0, 0, 0, 1, 37688597, 2167152, 59470, 658, 922, 0, 0, 0, 0 (list; table; graph; listen)
OFFSET

1,4

LINKS

D. W. Wilson, Extended tables for A008304 and A064315

FORMULA

Sequence (1, 3, 2, 5, 4) has ascending runs (1, 3), (2, 5), (4), the shortest is length 1. Of all permutations of (1, 2, 3, 4, 5), a(5, 1) = 101 have shortest ascending run of length 1.

CROSSREFS

Adjacent sequences: A064312 A064313 A064314 this_sequence A064316 A064317 A064318

Sequence in context: A127557 A060524 A133843 this_sequence A099221 A062950 A019625

KEYWORD

nonn,tabl

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net), Sep 07 2001

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Last modified November 9 12:23 EST 2009. Contains 166233 sequences.


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