Sequences
392,541 sequences
- Number of ways to partition n labeled elements into sets of different sizes of at least 2.A032311
Number of ways to partition n labeled elements into sets of different sizes of at least 2.
- "EGJ" (unordered, element, labeled) transform of 2,2,2,2...A032312
"EGJ" (unordered, element, labeled) transform of 2,2,2,2...
- "EGJ" (unordered, element, labeled) transform of 2,1,1,1...A032313
"EGJ" (unordered, element, labeled) transform of 2,1,1,1...
- "EGJ" (unordered, element, labeled) transform of 3,3,3,3...A032314
"EGJ" (unordered, element, labeled) transform of 3,3,3,3...
- "EGJ" (unordered, element, labeled) transform of 1,2,3,4,...A032315
"EGJ" (unordered, element, labeled) transform of 1,2,3,4,...
- "EGJ" (unordered, element, labeled) transform of 1,3,5,7...A032316
"EGJ" (unordered, element, labeled) transform of 1,3,5,7...
- Shifts left under "EGJ" (unordered, element, labeled) transform.A032317
Shifts left under "EGJ" (unordered, element, labeled) transform.
- Shifts left under "EGJ" (unordered, element, labeled) transform.A032318
Shifts left under "EGJ" (unordered, element, labeled) transform.
- Shifts left 2 places under "EGJ" (unordered, element, labeled) transform.A032319
Shifts left 2 places under "EGJ" (unordered, element, labeled) transform.
- Doubles (index 2+) under "EGJ" (unordered, element, labeled) transform.A032320
Doubles (index 2+) under "EGJ" (unordered, element, labeled) transform.
- Number of aperiodic necklaces with n labeled beads of 2 colors.A032321
Number of aperiodic necklaces with n labeled beads of 2 colors.
- Number of aperiodic necklaces with n labeled beads of 3 colors.A032322
Number of aperiodic necklaces with n labeled beads of 3 colors.
- Number of aperiodic necklaces with n labeled beads of 4 colors.A032323
Number of aperiodic necklaces with n labeled beads of 4 colors.
- Number of aperiodic necklaces with n labeled beads of 5 colors.A032324
Number of aperiodic necklaces with n labeled beads of 5 colors.
- Number of ways to partition n labeled elements into pie slices forming an aperiodic pattern.A032325
Number of ways to partition n labeled elements into pie slices forming an aperiodic pattern.
- Number of ways to partition n labeled elements into pie slices of odd sizes forming an aperiodic pattern.A032326
Number of ways to partition n labeled elements into pie slices of odd sizes forming an aperiodic pattern.
- Number of ways to partition n labeled elements into pie slices of size at least 2 forming an aperiodic pattern.A032327
Number of ways to partition n labeled elements into pie slices of size at least 2 forming an aperiodic pattern.
- "CHJ" (necklace, identity, labeled) transform of 2,2,2,2...A032328
"CHJ" (necklace, identity, labeled) transform of 2,2,2,2...
- "CHJ" (necklace, identity, labeled) transform of 2,1,1,1...A032329
"CHJ" (necklace, identity, labeled) transform of 2,1,1,1...
- "CHJ" (necklace, identity, labeled) transform of 3,3,3,3...A032330
"CHJ" (necklace, identity, labeled) transform of 3,3,3,3...
- "CHJ" (necklace, identity, labeled) transform of 1,2,3,4...A032331
"CHJ" (necklace, identity, labeled) transform of 1,2,3,4...
- "CHJ" (necklace, identity, labeled) transform of 1,3,5,7...A032332
"CHJ" (necklace, identity, labeled) transform of 1,3,5,7...
- Shifts left under "CHJ" (necklace, identity, labeled) transform.A032333
Shifts left under "CHJ" (necklace, identity, labeled) transform.
- Shifts left under "CHJ" (necklace, identity, labeled) transform.A032334
Shifts left under "CHJ" (necklace, identity, labeled) transform.
- Shifts left 2 places under "CHJ" (necklace, identity, labeled) transform.A032335
Shifts left 2 places under "CHJ" (necklace, identity, labeled) transform.
- Doubles (index 2+) under "CHJ" (necklace, identity, labeled) transform.A032336
Doubles (index 2+) under "CHJ" (necklace, identity, labeled) transform.
- Number of identity bracelets with n labeled beads of 2 colors.A032337
Number of identity bracelets with n labeled beads of 2 colors.
- Number of identity bracelets with n labeled beads of 3 colors.A032338
Number of identity bracelets with n labeled beads of 3 colors.
- Number of identity bracelets with n labeled beads of 4 colors.A032339
Number of identity bracelets with n labeled beads of 4 colors.
- Number of identity bracelets with n labeled beads of 5 colors.A032340
Number of identity bracelets with n labeled beads of 5 colors.
- Duplicate of A023761.A032341
Duplicate of A023761.
- Duplicate of A023762.A032342
Duplicate of A023762.
- a(n) = 10*a(n-1)+n^2, a(0)=0.A032343
a(n) = 10*a(n-1)+n^2, a(0)=0.
- Duplicate of A023764.A032344
Duplicate of A023764.
- Duplicate of A023765.A032345
Duplicate of A023765.
- Essentially shifts 1 place right under inverse binomial transform.A032346
Essentially shifts 1 place right under inverse binomial transform.
- Inverse binomial transform of A032346.A032347
Inverse binomial transform of A032346.
- Coefficients of Jacobi function c(3,m).A032348
Coefficients of Jacobi function c(3,m).
- Number of paths from (0,0) to (3n,0) that stay in first quadrant (but may touch horizontal axis), where each step is (2,1),(1,2) or (1,-1) and start with (2,1).A032349
Number of paths from (0,0) to (3n,0) that stay in first quadrant (but may touch horizontal axis), where each step is (2,1),(1,2) or (1,-1) and start with (2,1).
- Palindromic nonprime numbers.A032350
Palindromic nonprime numbers.
- Number of permutations of length n which avoid the patterns 2143, 1324 (smooth permutations); or avoid the patterns 1342, 2431; etc.A032351
Number of permutations of length n which avoid the patterns 2143, 1324 (smooth permutations); or avoid the patterns 1342, 2431; etc.
- Numbers k such that there is no prime between 10*k and 10*k+9.A032352
Numbers k such that there is no prime between 10*k and 10*k+9.
- Numbers k such that 7*2^k+1 is prime.A032353
Numbers k such that 7*2^k+1 is prime.
- j-invariants for orders of class number 1.A032354
j-invariants for orders of class number 1.
- Number of connected transitive trivalent (or cubic) graphs with 2n nodes.A032355
Number of connected transitive trivalent (or cubic) graphs with 2n nodes.
- Numbers k such that 13*2^k+1 is prime.A032356
Numbers k such that 13*2^k+1 is prime.
- Convolution of Catalan numbers and powers of -1.A032357
Convolution of Catalan numbers and powers of -1.
- Number of iterations of phi(n) needed to reach 2.A032358
Number of iterations of phi(n) needed to reach 2.
- Numbers k such that 19*2^k+1 is prime.A032359
Numbers k such that 19*2^k+1 is prime.
- Numbers k such that 21*2^k+1 is prime.A032360
Numbers k such that 21*2^k+1 is prime.