Sequences
392,541 sequences
- Number of partitions of n into parts 8k+3 or 8k+6.A035461
Number of partitions of n into parts 8k+3 or 8k+6.
- Number of partitions of n into parts 4k-1.A035462
Number of partitions of n into parts 4k-1.
- Number of partitions of n into parts 8k+4 or 8k+5.A035463
Number of partitions of n into parts 8k+4 or 8k+5.
- Number of partitions of n into parts 8k+4 or 8k+6.A035464
Number of partitions of n into parts 8k+4 or 8k+6.
- Number of partitions of n into parts 8k+4 or 8k+7.A035465
Number of partitions of n into parts 8k+4 or 8k+7.
- Number of partitions of n into parts 8k+5 or 8k+6.A035466
Number of partitions of n into parts 8k+5 or 8k+6.
- Number of partitions of n into parts 8k+5 or 8k+7.A035467
Number of partitions of n into parts 8k+5 or 8k+7.
- Number of partitions of n into parts 8k+6 or 8k+7.A035468
Number of partitions of n into parts 8k+6 or 8k+7.
- Triangle read by rows, the Bell transform of the triple factorial numbers A007559(n+1) without column 0.A035469
Triangle read by rows, the Bell transform of the triple factorial numbers A007559(n+1) without column 0.
- Number of ways to break {1,2,3,...,n} into sets with equal sums.A035470
Number of ways to break {1,2,3,...,n} into sets with equal sums.
- Coordination sequence for lattice D*_4 (with edges defined by l_1 norm = 1).A035471
Coordination sequence for lattice D*_4 (with edges defined by l_1 norm = 1).
- Coordination sequence for lattice D*_6 (with edges defined by l_1 norm = 1).A035472
Coordination sequence for lattice D*_6 (with edges defined by l_1 norm = 1).
- Coordination sequence for lattice D*_8 (with edges defined by l_1 norm = 1).A035473
Coordination sequence for lattice D*_8 (with edges defined by l_1 norm = 1).
- Coordination sequence for lattice D*_10 (with edges defined by l_1 norm = 1).A035474
Coordination sequence for lattice D*_10 (with edges defined by l_1 norm = 1).
- Coordination sequence for lattice D*_12 (with edges defined by l_1 norm = 1).A035475
Coordination sequence for lattice D*_12 (with edges defined by l_1 norm = 1).
- Coordination sequence for lattice D*_14 (with edges defined by l_1 norm = 1).A035476
Coordination sequence for lattice D*_14 (with edges defined by l_1 norm = 1).
- Coordination sequence for lattice D*_16 (with edges defined by l_1 norm = 1).A035477
Coordination sequence for lattice D*_16 (with edges defined by l_1 norm = 1).
- Coordination sequence for lattice D*_18 (with edges defined by l_1 norm = 1).A035478
Coordination sequence for lattice D*_18 (with edges defined by l_1 norm = 1).
- (-1)sigma sequence: a(n) = (-1)sigma(a(n-1)), where if (-1)sigma(k) = A049060(k) and a(1) = 624.A035479
(-1)sigma sequence: a(n) = (-1)sigma(a(n-1)), where if (-1)sigma(k) = A049060(k) and a(1) = 624.
- Pseudoperfect numbers (A005835) that are not practical (second definition, A007620).A035480
Pseudoperfect numbers (A005835) that are not practical (second definition, A007620).
- Number of n X n symmetric matrices whose first row is 1..n and whose rows and columns are all permutations of 1..n.A035481
Number of n X n symmetric matrices whose first row is 1..n and whose rows and columns are all permutations of 1..n.
- Number of n X n symmetric matrices each of whose rows is a permutation of 1..n.A035482
Number of n X n symmetric matrices each of whose rows is a permutation of 1..n.
- Number of 2n X 2n symmetric matrices whose first row is 1..2n and whose rows and columns are all permutations of 1..2n.A035483
Number of 2n X 2n symmetric matrices whose first row is 1..2n and whose rows and columns are all permutations of 1..2n.
- Numbers n such that fractional part of e^(Pi*sqrt(n)) > 0.99.A035484
Numbers n such that fractional part of e^(Pi*sqrt(n)) > 0.99.
- Card on top of deck at n-th stage of R. K. Guy's shuffling problem.A035485
Card on top of deck at n-th stage of R. K. Guy's shuffling problem.
- Kimberling's expulsion array read by antidiagonals.A035486
Kimberling's expulsion array read by antidiagonals.
- Second column of Stolarsky array.A035487
Second column of Stolarsky array.
- 3rd column of Stolarsky array.A035488
3rd column of Stolarsky array.
- Main diagonal of the Stolarsky array.A035489
Main diagonal of the Stolarsky array.
- Step at which card n appears on top of deck for first time in Guy's shuffling problem A035485.A035490
Step at which card n appears on top of deck for first time in Guy's shuffling problem A035485.
- Relevant part of deck in Guy's shuffling problem (A035485): row n of the table lists the first 2n "cards" (numbers) after the n-th shuffle.A035491
Relevant part of deck in Guy's shuffling problem (A035485): row n of the table lists the first 2n "cards" (numbers) after the n-th shuffle.
- Position of card 1 after n-th shuffle in Guy's shuffling problem (A035485).A035492
Position of card 1 after n-th shuffle in Guy's shuffling problem (A035485).
- Order in which new cards appear on top of deck in Guy's shuffling problem A035485.A035493
Order in which new cards appear on top of deck in Guy's shuffling problem A035485.
- Order in which record high new cards appear for first time on top of deck in Guy's shuffling problem A035485.A035494
Order in which record high new cards appear for first time on top of deck in Guy's shuffling problem A035485.
- Number of musical scales consisting of n notes.A035495
Number of musical scales consisting of n notes.
- Numbers of the form x*y^2 + y*z^2 + z*x^2, x,y,z >= 1.A035496
Numbers of the form x*y^2 + y*z^2 + z*x^2, x,y,z >= 1.
- Happy primes: primes that eventually reach 1 under iteration of "x -> sum of squares of digits of x".A035497
Happy primes: primes that eventually reach 1 under iteration of "x -> sum of squares of digits of x".
- Least largest sequence of consecutive primes (17) of form 4k+3.A035498
Least largest sequence of consecutive primes (17) of form 4k+3.
- Turns at which card 1 surfaces in Guy's shuffling problem (A035485).A035499
Turns at which card 1 surfaces in Guy's shuffling problem (A035485).
- Shuffles at which new cards appear on top of deck in Guy's shuffling problem A035485.A035500
Shuffles at which new cards appear on top of deck in Guy's shuffling problem A035485.
- Shuffles at which new record high cards appear on top of deck in Guy's shuffling problem A035485.A035501
Shuffles at which new record high cards appear on top of deck in Guy's shuffling problem A035485.
- Lower of pair of consecutive happy numbers.A035502
Lower of pair of consecutive happy numbers.
- Upper of pair of consecutive happy numbers.A035503
Upper of pair of consecutive happy numbers.
- Numbers that eventually reach 1 under "x -> sum of cubes of digits of x".A035504
Numbers that eventually reach 1 under "x -> sum of cubes of digits of x".
- Active part of Kimberling's expulsion array as a triangular array.A035505
Active part of Kimberling's expulsion array as a triangular array.
- Stolarsky array read by antidiagonals.A035506
Stolarsky array read by antidiagonals.
- Inverse Stolarsky array read by antidiagonals.A035507
Inverse Stolarsky array read by antidiagonals.
- a(n) = Fibonacci(2*n+2) - 1.A035508
a(n) = Fibonacci(2*n+2) - 1.
- Main diagonal of Inverse Stolarsky array.A035509
Main diagonal of Inverse Stolarsky array.
- 2nd column of Inverse Stolarsky array.A035510
2nd column of Inverse Stolarsky array.