Sequences

392,541 sequences

Number of bracelets with n labeled beads of 3 colors.A032261
Number of bracelets with n labeled beads of 3 colors.
Number of ways to partition n labeled elements into pie slices allowing the pie to be turned over.A032262
Number of ways to partition n labeled elements into pie slices allowing the pie to be turned over.
Number of ways to partition n labeled elements into 4 pie slices allowing the pie to be turned over; number of 2-element proper antichains of an n-element set.A032263
Number of ways to partition n labeled elements into 4 pie slices allowing the pie to be turned over; number of 2-element proper antichains of an n-element set.
Number of ways to partition n labeled elements into pie slices of odd sizes allowing the pie to be turned over.A032264
Number of ways to partition n labeled elements into pie slices of odd sizes allowing the pie to be turned over.
Number of ways to partition n labeled elements into pie slices of at least 2 elements allowing the pie to be turned over.A032265
Number of ways to partition n labeled elements into pie slices of at least 2 elements allowing the pie to be turned over.
"DIJ" (bracelet, indistinct, labeled) transform of 2,2,2,2,...A032266
"DIJ" (bracelet, indistinct, labeled) transform of 2,2,2,2,...
"DIJ" (bracelet, indistinct, labeled) transform of 2,1,1,1,...A032267
"DIJ" (bracelet, indistinct, labeled) transform of 2,1,1,1,...
"DIJ" (bracelet, indistinct, labeled) transform of 3,3,3,3,...A032268
"DIJ" (bracelet, indistinct, labeled) transform of 3,3,3,3,...
"DIJ" (bracelet, indistinct, labeled) transform of 1,2,3,4,...A032269
"DIJ" (bracelet, indistinct, labeled) transform of 1,2,3,4,...
"DIJ" (bracelet, indistinct, labeled) transform of 1,3,5,7,...A032270
"DIJ" (bracelet, indistinct, labeled) transform of 1,3,5,7,...
Shifts left under "DIJ" (bracelet, indistinct, labeled) transform, with a(1) = 1.A032271
Shifts left under "DIJ" (bracelet, indistinct, labeled) transform, with a(1) = 1.
Shifts left under "DIJ" (bracelet, indistinct, labeled) transform, with a(1)=2.A032272
Shifts left under "DIJ" (bracelet, indistinct, labeled) transform, with a(1)=2.
Shifts left 2 places under "DIJ" (bracelet, indistinct, labeled) transform.A032273
Shifts left 2 places under "DIJ" (bracelet, indistinct, labeled) transform.
Number of labeled series-reduced dyslexic mobiles (polygon rooted trees) with n leaves (root has degree 0 or >=2).A032274
Number of labeled series-reduced dyslexic mobiles (polygon rooted trees) with n leaves (root has degree 0 or >=2).
Number of bracelets (turnover necklaces) of n beads of 4 colors.A032275
Number of bracelets (turnover necklaces) of n beads of 4 colors.
Number of bracelets (turnover necklaces) with n beads of 5 colors.A032276
Number of bracelets (turnover necklaces) with n beads of 5 colors.
Number of ways to partition n elements into pie slices each with an odd number of elements allowing the pie to be turned over.A032277
Number of ways to partition n elements into pie slices each with an odd number of elements allowing the pie to be turned over.
Number of ways to partition n elements into pie slices each with at least 2 elements allowing the pie to be turned over.A032278
Number of ways to partition n elements into pie slices each with at least 2 elements allowing the pie to be turned over.
Number of bracelets (turnover necklaces) of n beads of 2 colors, 5 of them black.A032279
Number of bracelets (turnover necklaces) of n beads of 2 colors, 5 of them black.
Number of bracelets (turnover necklaces) of n beads of 2 colors, 7 of them black.A032280
Number of bracelets (turnover necklaces) of n beads of 2 colors, 7 of them black.
Number of bracelets (turnover necklaces) of n beads of 2 colors, 9 of them black.A032281
Number of bracelets (turnover necklaces) of n beads of 2 colors, 9 of them black.
Number of bracelets (turnover necklaces) of n beads of 2 colors, 11 of them black.A032282
Number of bracelets (turnover necklaces) of n beads of 2 colors, 11 of them black.
"DIK" (bracelet, indistinct, unlabeled) transform of 2,2,2,2...A032283
"DIK" (bracelet, indistinct, unlabeled) transform of 2,2,2,2...
"DIK" (bracelet, indistinct, unlabeled) transform of 3,3,3,3...A032284
"DIK" (bracelet, indistinct, unlabeled) transform of 3,3,3,3...
"DIK" (bracelet, indistinct, unlabeled) transform of 4,4,4,4...A032285
"DIK" (bracelet, indistinct, unlabeled) transform of 4,4,4,4...
"DIK" (bracelet, indistinct, unlabeled) transform of 5,5,5,5...A032286
"DIK" (bracelet, indistinct, unlabeled) transform of 5,5,5,5...
"DIK" (bracelet, indistinct, unlabeled) transform of 1,2,3,4,...A032287
"DIK" (bracelet, indistinct, unlabeled) transform of 1,2,3,4,...
"DIK" (bracelet, indistinct, unlabeled) transform of 1,3,5,7...A032288
"DIK" (bracelet, indistinct, unlabeled) transform of 1,3,5,7...
Number of dyslexic rooted compound windmills with n nodes.A032289
Number of dyslexic rooted compound windmills with n nodes.
Number of dyslexic rooted compound windmills with n nodes and leaves of 2 colors.A032290
Number of dyslexic rooted compound windmills with n nodes and leaves of 2 colors.
Shifts left 2 places under "DIK" (bracelet, indistinct, unlabeled) transform.A032291
Shifts left 2 places under "DIK" (bracelet, indistinct, unlabeled) transform.
Number of series-reduced dyslexic planted compound windmills with n leaves.A032292
Number of series-reduced dyslexic planted compound windmills with n leaves.
Number of series-reduced dyslexic planted compound windmills with n leaves of 2 colors.A032293
Number of series-reduced dyslexic planted compound windmills with n leaves of 2 colors.
Number of aperiodic bracelets (turnover necklaces) with n beads of 3 colors.A032294
Number of aperiodic bracelets (turnover necklaces) with n beads of 3 colors.
Number of aperiodic bracelets (turn over necklaces) with n beads of 4 colors.A032295
Number of aperiodic bracelets (turn over necklaces) with n beads of 4 colors.
Number of aperiodic bracelets (turnover necklaces) with n beads of 5 colors.A032296
Number of aperiodic bracelets (turnover necklaces) with n beads of 5 colors.
"EFJ" (unordered, size, labeled) transform of 2,2,2,2,...A032297
"EFJ" (unordered, size, labeled) transform of 2,2,2,2,...
"EFJ" (unordered, size, labeled) transform of 2,1,1,1,...A032298
"EFJ" (unordered, size, labeled) transform of 2,1,1,1,...
"EFJ" (unordered, size, labeled) transform of 1,2,3,4,...A032299
"EFJ" (unordered, size, labeled) transform of 1,2,3,4,...
"EFJ" (unordered, size, labeled) transform of 1,3,5,7,...A032300
"EFJ" (unordered, size, labeled) transform of 1,3,5,7,...
Shifts left under "EFJ" (unordered, size, labeled) transform.A032301
Shifts left under "EFJ" (unordered, size, labeled) transform.
G.f.: Product_{k>=1} (1 + 2*x^k).A032302
G.f.: Product_{k>=1} (1 + 2*x^k).
"EFK" (unordered, size, unlabeled) transform of 2,1,1,1,...A032303
"EFK" (unordered, size, unlabeled) transform of 2,1,1,1,...
"EFK" (unordered, size, unlabeled) transform of 1,3,5,7,...A032304
"EFK" (unordered, size, unlabeled) transform of 1,3,5,7,...
Number of rooted trees where any 2 subtrees extending from the same node have a different number of nodes.A032305
Number of rooted trees where any 2 subtrees extending from the same node have a different number of nodes.
Number of rooted trees with leaves of 2 colors where any 2 subtrees extending from the same node have a different number of nodes.A032306
Number of rooted trees with leaves of 2 colors where any 2 subtrees extending from the same node have a different number of nodes.
Shifts left 2 places under "EFK" (unordered, size, unlabeled) transform.A032307
Shifts left 2 places under "EFK" (unordered, size, unlabeled) transform.
Expansion of Product_{k>=1} (1 + 3*x^k).A032308
Expansion of Product_{k>=1} (1 + 3*x^k).
"EFK" (unordered, size, unlabeled) transform of 2,4,6,8,...A032309
"EFK" (unordered, size, unlabeled) transform of 2,4,6,8,...
Number of ways to partition n labeled elements into sets of odd sizes, with all sizes different.A032310
Number of ways to partition n labeled elements into sets of odd sizes, with all sizes different.