Sequences

392,541 sequences

a(n) = a(n-1) + a(n-2) + 1, with a(0)=3, a(1)=12.A022411
a(n) = a(n-1) + a(n-2) + 1, with a(0)=3, a(1)=12.
Expansion of 1/((1-x)(1-5x)(1-6x)(1-11x)).A022412
Expansion of 1/((1-x)(1-5x)(1-6x)(1-11x)).
Kim-sums: "Kimberling sums" K_n + K_2.A022413
Kim-sums: "Kimberling sums" K_n + K_2.
Kim-sums: "Kimberling sums" K_n + K_3.A022414
Kim-sums: "Kimberling sums" K_n + K_3.
Kim-sums: "Kimberling sums" K_n + K_4.A022415
Kim-sums: "Kimberling sums" K_n + K_4.
Kim-sums: "Kimberling sums" K_n + K_5.A022416
Kim-sums: "Kimberling sums" K_n + K_5.
Kim-sums: "Kimberling sums" K_n + K_6.A022417
Kim-sums: "Kimberling sums" K_n + K_6.
Kim-sums: "Kimberling sums" K_n + K_7.A022418
Kim-sums: "Kimberling sums" K_n + K_7.
Kim-sums: "Kimberling sums" K_n + K_8.A022419
Kim-sums: "Kimberling sums" K_n + K_8.
Kim-sums: "Kimberling sums" K_n + K_9.A022420
Kim-sums: "Kimberling sums" K_n + K_9.
Kim-sums: "Kimberling sums" K_n + K_10.A022421
Kim-sums: "Kimberling sums" K_n + K_10.
Kim-sums: "Kimberling sums" K_n + K_11.A022422
Kim-sums: "Kimberling sums" K_n + K_11.
Kim-sums: "Kimberling sums" K_n + K_12.A022423
Kim-sums: "Kimberling sums" K_n + K_12.
Solution a( ) of the complementary equation a(n) = b(n-1) + b(n-2), where a(0) = 1, a(1) = 2; see Comments.A022424
Solution a( ) of the complementary equation a(n) = b(n-1) + b(n-2), where a(0) = 1, a(1) = 2; see Comments.
Solution a( ) of the complementary equation a(n) = b(n-1) + b(n-2), where a(0) = 1, a(1) = 4; see Comments.A022425
Solution a( ) of the complementary equation a(n) = b(n-1) + b(n-2), where a(0) = 1, a(1) = 4; see Comments.
Solution a( ) of the complementary equation a(n) = b(n-1) + b(n-2), where a(0) = 2, a(1) = 3; see Comments.A022426
Solution a( ) of the complementary equation a(n) = b(n-1) + b(n-2), where a(0) = 2, a(1) = 3; see Comments.
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.A022427
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.A022428
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.A022429
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.A022430
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.A022431
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.A022432
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.A022433
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.A022434
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.A022435
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.A022436
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.A022437
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.A022438
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.A022439
a(n) = c(n-1) + c(n-3) where c is the sequence of numbers not in a.
a(n) = c(n-1) + c(n-3) where c is the sequence of positive numbers not in a.A022440
a(n) = c(n-1) + c(n-3) where c is the sequence of positive numbers not in a.
a(n) = c(n) + c(n-1) where c (A055562) is the sequence of numbers not in a.A022441
a(n) = c(n) + c(n-1) where c (A055562) is the sequence of numbers not in a.
a(n) = c(n) + c(n-1) where c is the sequence of numbers not in a.A022442
a(n) = c(n) + c(n-1) where c is the sequence of numbers not in a.
Sequence and first differences include all positive integers except 2.A022443
Sequence and first differences include all positive integers except 2.
Number of self-avoiding closed walks (from (0,0) to (0,0)) of length 2n in strip {-1, 0, 1} X Z.A022444
Number of self-avoiding closed walks (from (0,0) to (0,0)) of length 2n in strip {-1, 0, 1} X Z.
Number of self-avoiding closed walks (from 0 to 0) of length 2n in the strip {0, 1, 2} X Z of the square lattice Z X Z.A022445
Number of self-avoiding closed walks (from 0 to 0) of length 2n in the strip {0, 1, 2} X Z of the square lattice Z X Z.
Fractal sequence of the dispersion of the composite numbers.A022446
Fractal sequence of the dispersion of the composite numbers.
Fractal sequence of the dispersion of the primes.A022447
Fractal sequence of the dispersion of the primes.
Expansion of 1/((1-x)*(1-5*x)*(1-6*x)*(1-12*x)).A022448
Expansion of 1/((1-x)*(1-5*x)*(1-6*x)*(1-12*x)).
c(p(n)) where p(k) is k-th prime including p(1)=1 and c(k) is k-th composite number.A022449
c(p(n)) where p(k) is k-th prime including p(1)=1 and c(k) is k-th composite number.
a(1) = 2; a(n+1) = a(n)-th composite.A022450
a(1) = 2; a(n+1) = a(n)-th composite.
a(1) = 3; a(n+1) = a(n)-th composite.A022451
a(1) = 3; a(n+1) = a(n)-th composite.
Expansion of 1/((1-x)*(1-5*x)*(1-7*x)*(1-8*x)).A022452
Expansion of 1/((1-x)*(1-5*x)*(1-7*x)*(1-8*x)).
Expansion of 1/((1-x)*(1-5*x)*(1-7*x)*(1-9*x)).A022453
Expansion of 1/((1-x)*(1-5*x)*(1-7*x)*(1-9*x)).
Expansion of 1/((1-x)*(1-5*x)*(1-7*x)*(1-10*x)).A022454
Expansion of 1/((1-x)*(1-5*x)*(1-7*x)*(1-10*x)).
Expansion of 1/((1-x)*(1-5*x)*(1-7*x)*(1-11*x)).A022455
Expansion of 1/((1-x)*(1-5*x)*(1-7*x)*(1-11*x)).
Expansion of 1/((1-x)*(1-5*x)*(1-7*x)*(1-12*x)).A022456
Expansion of 1/((1-x)*(1-5*x)*(1-7*x)*(1-12*x)).
a(n) = prime(2n) mod prime(n).A022457
a(n) = prime(2n) mod prime(n).
a(n) = prime(2n-1) mod prime(n).A022458
a(n) = prime(2n-1) mod prime(n).
a(n) = prime(2n+1) mod prime(n).A022459
a(n) = prime(2n+1) mod prime(n).
a(n) = prime(3*n) mod prime(n).A022460
a(n) = prime(3*n) mod prime(n).