Sequences
392,541 sequences
- Number of different sets ("cut sets") of triangles a regular (n+2)-gon can be dissected into; two triangulations of an (n+2)-gon are equal if all numbers of congruent triangles coincide.A033961
Number of different sets ("cut sets") of triangles a regular (n+2)-gon can be dissected into; two triangulations of an (n+2)-gon are equal if all numbers of congruent triangles coincide.
- Trajectory of 1 under map n->9n+1 if n odd, n->n/2 if n even.A033962
Trajectory of 1 under map n->9n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->11n+1 if n odd, n->n/2 if n even.A033963
Trajectory of 1 under map n->11n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->13n+1 if n odd, n->n/2 if n even.A033964
Trajectory of 1 under map n->13n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->17n+1 if n odd, n->n/2 if n even.A033965
Trajectory of 1 under map n->17n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->19n+1 if n odd, n->n/2 if n even.A033966
Trajectory of 1 under map n->19n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->21n+1 if n odd, n->n/2 if n even.A033967
Trajectory of 1 under map n->21n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->23n+1 if n odd, n->n/2 if n even.A033968
Trajectory of 1 under map n->23n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->25n+1 if n odd, n->n/2 if n even.A033969
Trajectory of 1 under map n->25n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->27n+1 if n odd, n->n/2 if n even.A033970
Trajectory of 1 under map n->27n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->29n+1 if n odd, n->n/2 if n even.A033971
Trajectory of 1 under map n->29n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->33n+1 if n odd, n->n/2 if n even.A033972
Trajectory of 1 under map n->33n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->35n+1 if n odd, n->n/2 if n even.A033973
Trajectory of 1 under map n->35n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->37n+1 if n odd, n->n/2 if n even.A033974
Trajectory of 1 under map n->37n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->39n+1 if n odd, n->n/2 if n even.A033975
Trajectory of 1 under map n->39n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->41n+1 if n odd, n->n/2 if n even.A033976
Trajectory of 1 under map n->41n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->43n+1 if n odd, n->n/2 if n even.A033977
Trajectory of 1 under map n->43n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->45n+1 if n odd, n->n/2 if n even.A033978
Trajectory of 1 under map n->45n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->47n+1 if n odd, n->n/2 if n even.A033979
Trajectory of 1 under map n->47n+1 if n odd, n->n/2 if n even.
- Trajectory of 1 under map n->49n+1 if n odd, n->n/2 if n even.A033980
Trajectory of 1 under map n->49n+1 if n odd, n->n/2 if n even.
- Integers k such that 2^k == 7 (mod k).A033981
Integers k such that 2^k == 7 (mod k).
- Integers n such that 2^n == 11 (mod n).A033982
Integers n such that 2^n == 11 (mod n).
- Integers n such that 2^n == 15 (mod n).A033983
Integers n such that 2^n == 15 (mod n).
- Odd integers n such that 2^n == 16 (mod n).A033984
Odd integers n such that 2^n == 16 (mod n).
- Number of partitions of n into two or more distinct nonzero squares.A033985
Number of partitions of n into two or more distinct nonzero squares.
- Order of first letter of n-th month of the year.A033986
Order of first letter of n-th month of the year.
- Numbers that are divisible by at least 4 primes (counted with multiplicity).A033987
Numbers that are divisible by at least 4 primes (counted with multiplicity).
- Write 0,1,2,... in a clockwise spiral on a square lattice, writing each digit at a separate lattice point, starting with 0 at the origin and 1 at x=0, y=-1; sequence gives the numbers on the positive y-axis.A033988
Write 0,1,2,... in a clockwise spiral on a square lattice, writing each digit at a separate lattice point, starting with 0 at the origin and 1 at x=0, y=-1; sequence gives the numbers on the positive y-axis.
- Write 0,1,2,... in a clockwise spiral on a square lattice, writing each digit at a separate lattice point, starting with 0 at the origin and 1 at x=0, y=-1; sequence gives the numbers on the negative x-axis.A033989
Write 0,1,2,... in a clockwise spiral on a square lattice, writing each digit at a separate lattice point, starting with 0 at the origin and 1 at x=0, y=-1; sequence gives the numbers on the negative x-axis.
- Write 0,1,2,... in a clockwise spiral on a square lattice, writing each digit at a separate lattice point, starting with 0 at the origin and 1 at x=0, y=-1; sequence gives the numbers on the negative y-axis.A033990
Write 0,1,2,... in a clockwise spiral on a square lattice, writing each digit at a separate lattice point, starting with 0 at the origin and 1 at x=0, y=-1; sequence gives the numbers on the negative y-axis.
- a(n) = n*(4*n-1).A033991
a(n) = n*(4*n-1).
- Numbers that are divisible by exactly three different primes.A033992
Numbers that are divisible by exactly three different primes.
- Numbers that are divisible by exactly four different primes.A033993
Numbers that are divisible by exactly four different primes.
- a(n) = n*(n+1)*(5*n+1)/6.A033994
a(n) = n*(n+1)*(5*n+1)/6.
- Number of bipartite graphs with n nodes.A033995
Number of bipartite graphs with n nodes.
- 8 times triangular numbers: a(n) = 4*n*(n+1).A033996
8 times triangular numbers: a(n) = 4*n*(n+1).
- Numbers k such that the sum of the first k primes is a square.A033997
Numbers k such that the sum of the first k primes is a square.
- Numbers n such that the sum of the primes <= n is a square.A033998
Numbers n such that the sum of the primes <= n is a square.
- a(n) = (-1)^n.A033999
a(n) = (-1)^n.
- One half of triple factorial numbers.A034000
One half of triple factorial numbers.
- One third of triple factorial numbers.A034001
One third of triple factorial numbers.
- A005150 expanded into single digits.A034002
A005150 expanded into single digits.
- A007890 expanded into single digits.A034003
A007890 expanded into single digits.
- Successive decimal digits of triangular numbers.A034004
Successive decimal digits of triangular numbers.
- Successive digits of Catalan numbers.A034005
Successive digits of Catalan numbers.
- Number of n-step self-avoiding walks on the 4-dimensional hypercubic lattice with no non-contiguous adjacencies.A034006
Number of n-step self-avoiding walks on the 4-dimensional hypercubic lattice with no non-contiguous adjacencies.
- First differences of A045891.A034007
First differences of A045891.
- a(n) = floor(2^|n-1|/2). Or: 1, 0, followed by powers of 2.A034008
a(n) = floor(2^|n-1|/2). Or: 1, 0, followed by powers of 2.
- Convolution of A000295(n+2) (n>=0) with itself.A034009
Convolution of A000295(n+2) (n>=0) with itself.
- Number of 2n-step self avoiding closed walks on square grid, restricted to a quadrant and passing through origin.A034010
Number of 2n-step self avoiding closed walks on square grid, restricted to a quadrant and passing through origin.