Sequences

392,541 sequences

Partition n labeled elements into sets of different sizes and order the sets.A032011
Partition n labeled elements into sets of different sizes and order the sets.
Number of ways to partition n labeled elements into sets of different odd sizes and order the sets.A032012
Number of ways to partition n labeled elements into sets of different odd sizes and order the sets.
Number of ways to partition n labeled elements into sets of different sizes of at least 2 and order the sets.A032013
Number of ways to partition n labeled elements into sets of different sizes of at least 2 and order the sets.
"AGJ" (ordered, elements, labeled) transform of 2,2,2,2,...A032014
"AGJ" (ordered, elements, labeled) transform of 2,2,2,2,...
"AGJ" (ordered, elements, labeled) transform of 2,1,1,1,...A032015
"AGJ" (ordered, elements, labeled) transform of 2,1,1,1,...
"AGJ" (ordered, elements, labeled) transform of 1,2,3,4,...A032016
"AGJ" (ordered, elements, labeled) transform of 1,2,3,4,...
"AGJ" (ordered, elements, labeled) transform of 1,3,5,7,...A032017
"AGJ" (ordered, elements, labeled) transform of 1,3,5,7,...
Shifts left under "AGJ" (ordered, elements, labeled) transform.A032018
Shifts left under "AGJ" (ordered, elements, labeled) transform.
Doubles (index 2+) under "AGJ" (ordered, elements, labeled) transform.A032019
Doubles (index 2+) under "AGJ" (ordered, elements, labeled) transform.
Number of compositions (ordered partitions) of n into distinct parts.A032020
Number of compositions (ordered partitions) of n into distinct parts.
Number of compositions (ordered partitions) of n into distinct odd parts.A032021
Number of compositions (ordered partitions) of n into distinct odd parts.
Number of compositions (ordered partitions) of n into distinct parts >= 2.A032022
Number of compositions (ordered partitions) of n into distinct parts >= 2.
"AGK" (ordered, elements, unlabeled) transform of 2,2,2,2...A032023
"AGK" (ordered, elements, unlabeled) transform of 2,2,2,2...
"AGK" (ordered, elements, unlabeled) transform of 2,1,1,1,...A032024
"AGK" (ordered, elements, unlabeled) transform of 2,1,1,1,...
"AGK" (ordered, elements, unlabeled) transform of 1,2,3,4...A032025
"AGK" (ordered, elements, unlabeled) transform of 1,2,3,4...
"AGK" (ordered, elements, unlabeled) transform of 1,3,5,7...A032026
"AGK" (ordered, elements, unlabeled) transform of 1,3,5,7...
Number of planted planar trees (n+1 nodes) where any 2 subtrees extending from the same node are different.A032027
Number of planted planar trees (n+1 nodes) where any 2 subtrees extending from the same node are different.
Number of rooted planar trees (n+1 nodes) where any 2 subtrees extending from same node are different.A032028
Number of rooted planar trees (n+1 nodes) where any 2 subtrees extending from same node are different.
Shifts left twice under "AGK" (ordered, elements, unlabeled) transform.A032029
Shifts left twice under "AGK" (ordered, elements, unlabeled) transform.
Number of series-reduced planted planar trees with n leaves of 2 colors where any 2 subtrees extending from the same node are different.A032030
Number of series-reduced planted planar trees with n leaves of 2 colors where any 2 subtrees extending from the same node are different.
Triple factorial numbers: (3n)!!! = 3^n*n!.A032031
Triple factorial numbers: (3n)!!! = 3^n*n!.
Number of ways to partition n labeled elements into sets of sizes of at least 2 and order the sets.A032032
Number of ways to partition n labeled elements into sets of sizes of at least 2 and order the sets.
Stirling transform of A032031.A032033
Stirling transform of A032031.
Shifts left under "AIJ" (ordered, indistinct, labeled) transform.A032034
Shifts left under "AIJ" (ordered, indistinct, labeled) transform.
Number of increasing rooted 2,3 cacti (triangular cacti with bridges) with n-1 nodes.A032035
Number of increasing rooted 2,3 cacti (triangular cacti with bridges) with n-1 nodes.
Shifts left 3 places under "AIJ" (ordered, indistinct, labeled) transform.A032036
Shifts left 3 places under "AIJ" (ordered, indistinct, labeled) transform.
Doubles (index 2+) under "AIJ" (ordered, indistinct, labeled) transform.A032037
Doubles (index 2+) under "AIJ" (ordered, indistinct, labeled) transform.
"BFJ" (reversible, size, labeled) transform of 2,2,2,2...A032038
"BFJ" (reversible, size, labeled) transform of 2,2,2,2...
"BFJ" (reversible, size, labeled) transform of 2,1,1,1...A032039
"BFJ" (reversible, size, labeled) transform of 2,1,1,1...
"BFJ" (reversible, size, labeled) transform of 1,2,3,4...A032040
"BFJ" (reversible, size, labeled) transform of 1,2,3,4...
"BFJ" (reversible, size, labeled) transform of 1,3,5,7...A032041
"BFJ" (reversible, size, labeled) transform of 1,3,5,7...
Shifts left under "BFJ" (reversible, size, labeled) transform.A032042
Shifts left under "BFJ" (reversible, size, labeled) transform.
"BFK" (reversible, size, unlabeled) transform of 2,2,2,2...A032043
"BFK" (reversible, size, unlabeled) transform of 2,2,2,2...
"BFK" (reversible, size, unlabeled) transform of 2,1,1,1...A032044
"BFK" (reversible, size, unlabeled) transform of 2,1,1,1...
"BFK" (reversible, size, unlabeled) transform of 1,2,3,4...A032045
"BFK" (reversible, size, unlabeled) transform of 1,2,3,4...
"BFK" (reversible, size, unlabeled) transform of 1,3,5,7...A032046
"BFK" (reversible, size, unlabeled) transform of 1,3,5,7...
Number of dyslexic planted planar trees with n+1 nodes where any 2 subtrees extending from the same node are different sizes.A032047
Number of dyslexic planted planar trees with n+1 nodes where any 2 subtrees extending from the same node are different sizes.
Number of dyslexic rooted planar trees with n nodes where any 2 subtrees extending from a node are of different sizes.A032048
Number of dyslexic rooted planar trees with n nodes where any 2 subtrees extending from a node are of different sizes.
"BGJ" (reversible, element, labeled) transform of 1,1,1,1...A032049
"BGJ" (reversible, element, labeled) transform of 1,1,1,1...
"BGJ" (reversible, element, labeled) transform of 1,0,1,0... (odds).A032050
"BGJ" (reversible, element, labeled) transform of 1,0,1,0... (odds).
"BGJ" (reversible, element, labeled) transform of 0,1,1,1...A032051
"BGJ" (reversible, element, labeled) transform of 0,1,1,1...
"BGJ" (reversible, element, labeled) transform of 2,2,2,2...A032052
"BGJ" (reversible, element, labeled) transform of 2,2,2,2...
"BGJ" (reversible, element, labeled) transform of 2,1,1,1...A032053
"BGJ" (reversible, element, labeled) transform of 2,1,1,1...
"BGJ" (reversible, element, labeled) transform of 1,2,3,4...A032054
"BGJ" (reversible, element, labeled) transform of 1,2,3,4...
"BGJ" (reversible, element, labeled) transform of 1,3,5,7...A032055
"BGJ" (reversible, element, labeled) transform of 1,3,5,7...
Shifts left under "BGJ" (reversible, element, labeled) transform.A032056
Shifts left under "BGJ" (reversible, element, labeled) transform.
Doubles (index 2+) under "BGJ" (reversible, element, labeled) transform.A032057
Doubles (index 2+) under "BGJ" (reversible, element, labeled) transform.
"BGK" (reversible, element, unlabeled) transform of 1,1,1,1,...A032058
"BGK" (reversible, element, unlabeled) transform of 1,1,1,1,...
"BGK" (reversible, element, unlabeled) transform of 1,0,1,0,...A032059
"BGK" (reversible, element, unlabeled) transform of 1,0,1,0,...
"BGK" (reversible, element, unlabeled) transform of 0,1,1,1,...A032060
"BGK" (reversible, element, unlabeled) transform of 0,1,1,1,...