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Search: a097607 -id:a097607
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A143955
Sum of the altitudes of the leftmost valleys of all Dyck paths of semilength n (if path has no valley, then this altitude is taken to be 0).
+10
5
0, 0, 0, 1, 6, 26, 101, 376, 1377, 5017, 18277, 66727, 244377, 898129, 3312554, 12260129, 45526754, 169588754, 633580634, 2373550184, 8914719134, 33562602134, 126640791884, 478848661898, 1814142235028, 6885560250148
(list; graph; refs; listen; history; text; internal format)
FORMULA
a(n) = Sum_{k>=0} k*A097607(n,k).
CROSSREFS
Cf. A000108, A000344, A097607, A323224.
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