Sequences

392,541 sequences

Numbers k such that k*(k+6) is a palindrome.A028561
Numbers k such that k*(k+6) is a palindrome.
Palindromes of form k*(k+6).A028562
Palindromes of form k*(k+6).
a(n) = n*(n+7).A028563
a(n) = n*(n+7).
Numbers k such that k*(k+7) is a palindrome.A028564
Numbers k such that k*(k+7) is a palindrome.
Palindromes of form k*(k+7).A028565
Palindromes of form k*(k+7).
a(n) = n*(n+8).A028566
a(n) = n*(n+8).
Numbers k such that k*(k+8) is a palindrome.A028567
Numbers k such that k*(k+8) is a palindrome.
Palindromes of the form k*(k+8).A028568
Palindromes of the form k*(k+8).
a(n) = n*(n + 9).A028569
a(n) = n*(n + 9).
Numbers k such that k*(k + 9) is a palindrome.A028570
Numbers k such that k*(k + 9) is a palindrome.
Palindromes of form k*(k+9).A028571
Palindromes of form k*(k+9).
Expansion of theta_3(z)*theta_3(2z) + theta_2(z)*theta_2(2z) in powers of q^(1/4).A028572
Expansion of theta_3(z)*theta_3(2z) + theta_2(z)*theta_2(2z) in powers of q^(1/4).
Expansion of theta_3(z)*theta_3(4z)+theta_2(z)*theta_2(4z).A028573
Expansion of theta_3(z)*theta_3(4z)+theta_2(z)*theta_2(4z).
Expansion of 1/((1-16*x)^2*(1 - 14*x + 56*x^2 - 64*x^3)).A028574
Expansion of 1/((1-16*x)^2*(1 - 14*x + 56*x^2 - 64*x^3)).
Row sums of triangle A011801.A028575
Row sums of triangle A011801.
a(n) = (1/(4*n)) * Sum_{d|n} mu(n/d) * binomial(2*d, d)^2.A028576
a(n) = (1/(4*n)) * Sum_{d|n} mu(n/d) * binomial(2*d, d)^2.
Expansion of (theta_3(z)*theta_3(2z)+theta_2(z)*theta_2(2z))^2.A028577
Expansion of (theta_3(z)*theta_3(2z)+theta_2(z)*theta_2(2z))^2.
Expansion of (theta_3(z)*theta_3(2z)+theta_2(z)*theta_2(2z))^3.A028578
Expansion of (theta_3(z)*theta_3(2z)+theta_2(z)*theta_2(2z))^3.
Expansion of (theta_3(z)*theta_3(2z)+theta_2(z)*theta_2(2z))^4.A028579
Expansion of (theta_3(z)*theta_3(2z)+theta_2(z)*theta_2(2z))^4.
C_{n+1}*C_n*C_{n-1}^2*C_{n-2}^4*...*C_2^{2^(n-2)}, where C_k are the Catalan numbers (A000108).A028580
C_{n+1}*C_n*C_{n-1}^2*C_{n-2}^4*...*C_2^{2^(n-2)}, where C_k are the Catalan numbers (A000108).
Quotients associated with A024011.A028581
Quotients associated with A024011.
Dividends associated with A024011.A028582
Dividends associated with A024011.
Expansion of (theta_3(z)*theta_3(4z)+theta_2(z)*theta_2(4z))^2.A028583
Expansion of (theta_3(z)*theta_3(4z)+theta_2(z)*theta_2(4z))^2.
Expansion of (theta_3(z)*theta_3(4z)+theta_2(z)*theta_2(4z))^3.A028584
Expansion of (theta_3(z)*theta_3(4z)+theta_2(z)*theta_2(4z))^3.
Expansion of (theta_3(z)*theta_3(4z)+theta_2(z)*theta_2(4z))^4.A028585
Expansion of (theta_3(z)*theta_3(4z)+theta_2(z)*theta_2(4z))^4.
Theta series of lattice with Gram matrix [2 1; 1 3].A028586
Theta series of lattice with Gram matrix [2 1; 1 3].
Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^2.A028587
Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^2.
Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^3.A028588
Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^3.
Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^4.A028589
Expansion of (theta_3(z)*theta_3(5z)+theta_2(z)*theta_2(5z))^4.
Expansion of (theta_3(z)*theta_3(6z)+theta_2(z)*theta_2(6z)).A028590
Expansion of (theta_3(z)*theta_3(6z)+theta_2(z)*theta_2(6z)).
Expansion of (theta_3(z)*theta_3(6z)+theta_2(z)*theta_2(6z))^2.A028591
Expansion of (theta_3(z)*theta_3(6z)+theta_2(z)*theta_2(6z))^2.
Expansion of (theta_3(z)*theta_3(6z)+theta_2(z)*theta_2(6z))^3.A028592
Expansion of (theta_3(z)*theta_3(6z)+theta_2(z)*theta_2(6z))^3.
Expansion of (theta_3(z)*theta_3(6z)+theta_2(z)*theta_2(6z))^4.A028593
Expansion of (theta_3(z)*theta_3(6z)+theta_2(z)*theta_2(6z))^4.
Expansion of (theta_3(q) * theta_3(q^7) + theta_2(q) * theta_2(q^7))^2 in powers of q.A028594
Expansion of (theta_3(q) * theta_3(q^7) + theta_2(q) * theta_2(q^7))^2 in powers of q.
Duplicate of A002653.A028595
Duplicate of A002653.
Expansion of (theta_3(z)*theta_3(7z) + theta_2(z)*theta_2(7z))^4.A028596
Expansion of (theta_3(z)*theta_3(7z) + theta_2(z)*theta_2(7z))^4.
Expansion of theta_3(z) * theta_3(8*z) + theta_2(z) * theta_2(8*z) in powers of q^(1/4).A028597
Expansion of theta_3(z) * theta_3(8*z) + theta_2(z) * theta_2(8*z) in powers of q^(1/4).
Expansion of (theta_3(z)*theta_3(8z)+theta_2(z)*theta_2(8z))^2.A028598
Expansion of (theta_3(z)*theta_3(8z)+theta_2(z)*theta_2(8z))^2.
Expansion of (theta_3(z)*theta_3(8z)+theta_2(z)*theta_2(8z))^3.A028599
Expansion of (theta_3(z)*theta_3(8z)+theta_2(z)*theta_2(8z))^3.
Expansion of (theta_3(z)*theta_3(8z)+theta_2(z)*theta_2(8z))^4.A028600
Expansion of (theta_3(z)*theta_3(8z)+theta_2(z)*theta_2(8z))^4.
Expansion of (theta_3(z)*theta_3(9z) + theta_2(z)*theta_2(9z)).A028601
Expansion of (theta_3(z)*theta_3(9z) + theta_2(z)*theta_2(9z)).
Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^2.A028602
Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^2.
Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^3.A028603
Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^3.
Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^4.A028604
Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^4.
Expansion of (theta_3(z)*theta_3(10z)+theta_2(z)*theta_2(10z)).A028605
Expansion of (theta_3(z)*theta_3(10z)+theta_2(z)*theta_2(10z)).
Expansion of (theta_3(z)*theta_3(10z)+theta_2(z)*theta_2(10z))^2.A028606
Expansion of (theta_3(z)*theta_3(10z)+theta_2(z)*theta_2(10z))^2.
Expansion of (theta_3(z)*theta_3(10z)+theta_2(z)*theta_2(10z))^3.A028607
Expansion of (theta_3(z)*theta_3(10z)+theta_2(z)*theta_2(10z))^3.
Expansion of (theta_3(z)*theta_3(10z)+theta_2(z)*theta_2(10z))^4.A028608
Expansion of (theta_3(z)*theta_3(10z)+theta_2(z)*theta_2(10z))^4.
Expansion of (theta_3(z)*theta_3(11z) + theta_2(z)*theta_2(11z)).A028609
Expansion of (theta_3(z)*theta_3(11z) + theta_2(z)*theta_2(11z)).
Expansion of (theta_3(z)*theta_3(11z) + theta_2(z)*theta_2(11z))^2.A028610
Expansion of (theta_3(z)*theta_3(11z) + theta_2(z)*theta_2(11z))^2.