Sequences

392,541 sequences

a(1) = 1, a(n) = Sum_{k=1..n-1} ((9^k - 1)/8)*a(k).A015511
a(1) = 1, a(n) = Sum_{k=1..n-1} ((9^k - 1)/8)*a(k).
a(1) = 1, a(n) = Sum_{k=1..n-1} ((10^k - 1)/9)*a(k).A015512
a(1) = 1, a(n) = Sum_{k=1..n-1} ((10^k - 1)/9)*a(k).
a(1) = 1, a(n) = Sum_{k=1..n-1} ((11^k - 1)/10)*a(k).A015513
a(1) = 1, a(n) = Sum_{k=1..n-1} ((11^k - 1)/10)*a(k).
Inverse of 1505th cyclotomic polynomial.A015514
Inverse of 1505th cyclotomic polynomial.
a(1) = 1, a(n) = Sum_{k=1..n-1} ((12^k - 1)/11)*a(k).A015515
a(1) = 1, a(n) = Sum_{k=1..n-1} ((12^k - 1)/11)*a(k).
Inverse of 1507th cyclotomic polynomial.A015516
Inverse of 1507th cyclotomic polynomial.
Inverse of 1508th cyclotomic polynomial.A015517
Inverse of 1508th cyclotomic polynomial.
a(n) = 2*a(n-1) + 3*a(n-2), with a(0)=0, a(1)=1.A015518
a(n) = 2*a(n-1) + 3*a(n-2), with a(0)=0, a(1)=1.
a(n) = 2*a(n-1) + 7*a(n-2), with a(0) = 0, a(1) = 1.A015519
a(n) = 2*a(n-1) + 7*a(n-2), with a(0) = 0, a(1) = 1.
a(n) = 2*a(n-1) + 11*a(n-2), a(0) = 0, a(1) = 1.A015520
a(n) = 2*a(n-1) + 11*a(n-2), a(0) = 0, a(1) = 1.
a(n) = 3*a(n-1) + 4*a(n-2), a(0) = 0, a(1) = 1.A015521
a(n) = 3*a(n-1) + 4*a(n-2), a(0) = 0, a(1) = 1.
Inverse of 1513th cyclotomic polynomial.A015522
Inverse of 1513th cyclotomic polynomial.
a(n) = 3*a(n-1) + 5*a(n-2), with a(0)=0, a(1)=1.A015523
a(n) = 3*a(n-1) + 5*a(n-2), with a(0)=0, a(1)=1.
a(n) = 3*a(n-1) + 7*a(n-2), with a(0) = 0, a(1) = 1.A015524
a(n) = 3*a(n-1) + 7*a(n-2), with a(0) = 0, a(1) = 1.
Expansion of x/(1-3*x-8*x^2).A015525
Expansion of x/(1-3*x-8*x^2).
Inverse of 1517th cyclotomic polynomial.A015526
Inverse of 1517th cyclotomic polynomial.
Inverse of 1518th cyclotomic polynomial.A015527
Inverse of 1518th cyclotomic polynomial.
a(n) = 3*a(n-1) + 10*a(n-2).A015528
a(n) = 3*a(n-1) + 10*a(n-2).
Expansion of x/(1 - 3*x - 11*x^2).A015529
Expansion of x/(1 - 3*x - 11*x^2).
Expansion of x/(1 - 4*x - 3*x^2).A015530
Expansion of x/(1 - 4*x - 3*x^2).
Linear 2nd order recurrence: a(n) = 4*a(n-1) + 5*a(n-2).A015531
Linear 2nd order recurrence: a(n) = 4*a(n-1) + 5*a(n-2).
a(n) = 4*a(n-1) + 7*a(n-2).A015532
a(n) = 4*a(n-1) + 7*a(n-2).
a(n) = 4*a(n-1) + 9*a(n-2).A015533
a(n) = 4*a(n-1) + 9*a(n-2).
Expansion of x/(1 - 4*x - 11*x^2).A015534
Expansion of x/(1 - 4*x - 11*x^2).
Expansion of x/(1 - 5*x - 2*x^2).A015535
Expansion of x/(1 - 5*x - 2*x^2).
Expansion of x/(1-5*x-3*x^2).A015536
Expansion of x/(1-5*x-3*x^2).
Expansion of x/(1 - 5*x - 4*x^2).A015537
Expansion of x/(1 - 5*x - 4*x^2).
Inverse of 1529th cyclotomic polynomial.A015538
Inverse of 1529th cyclotomic polynomial.
Inverse of 1530th cyclotomic polynomial.A015539
Inverse of 1530th cyclotomic polynomial.
a(n) = 5*a(n-1) + 6*a(n-2), a(0) = 0, a(1) = 1.A015540
a(n) = 5*a(n-1) + 6*a(n-2), a(0) = 0, a(1) = 1.
Expansion of x/(1 - 5*x - 7*x^2).A015541
Expansion of x/(1 - 5*x - 7*x^2).
Inverse of 1533rd cyclotomic polynomial.A015542
Inverse of 1533rd cyclotomic polynomial.
Inverse of 1534th cyclotomic polynomial.A015543
Inverse of 1534th cyclotomic polynomial.
Lucas sequence U(5,-8): a(n+1) = 5*a(n) + 8*a(n-1), a(0)=0, a(1)=1.A015544
Lucas sequence U(5,-8): a(n+1) = 5*a(n) + 8*a(n-1), a(0)=0, a(1)=1.
Expansion of x/(1 - 5*x - 9*x^2).A015545
Expansion of x/(1 - 5*x - 9*x^2).
Inverse of 1537th cyclotomic polynomial.A015546
Inverse of 1537th cyclotomic polynomial.
Expansion of x/(1 - 5*x - 11*x^2).A015547
Expansion of x/(1 - 5*x - 11*x^2).
Expansion of x/(1 - 5*x - 12*x^2).A015548
Expansion of x/(1 - 5*x - 12*x^2).
Inverse of 1540th cyclotomic polynomial.A015549
Inverse of 1540th cyclotomic polynomial.
Inverse of 1541st cyclotomic polynomial.A015550
Inverse of 1541st cyclotomic polynomial.
Expansion of x/(1 - 6*x - 5*x^2).A015551
Expansion of x/(1 - 6*x - 5*x^2).
a(n) = 6*a(n-1) + 7*a(n-2), a(0) = 0, a(1) = 1.A015552
a(n) = 6*a(n-1) + 7*a(n-2), a(0) = 0, a(1) = 1.
Expansion of x/(1 - 6*x - 11*x^2).A015553
Expansion of x/(1 - 6*x - 11*x^2).
a(n) = floor( (n/e)^n ).A015554
a(n) = floor( (n/e)^n ).
Expansion of x/(1 - 7*x - 2*x^2).A015555
Expansion of x/(1 - 7*x - 2*x^2).
Inverse of 1547th cyclotomic polynomial.A015556
Inverse of 1547th cyclotomic polynomial.
a(n) = ceiling((n/e)^n).A015557
a(n) = ceiling((n/e)^n).
Nearest integer to (n/e)^n.A015558
Nearest integer to (n/e)^n.
Expansion of x/(1 - 7*x - 3*x^2).A015559
Expansion of x/(1 - 7*x - 3*x^2).
Inverse of 1551st cyclotomic polynomial.A015560
Inverse of 1551st cyclotomic polynomial.