36750

Appears in sequences

• Theta series of A_6 lattice.at n=26A008446
• Composite numbers k+1 such that k*phi(k+1) is a perfect square.at n=29A069068
• Numbers k such that 13*3^k + 2 is prime.at n=16A084125
• This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of tetrahedral numbers. The p-th row (p>=1) contains a(i,p) for i=1 to 3*p-2, where a(i,p) satisfies Sum_{i=1..n} C(i+2,3)^p = 4 * C(n+3,4) * Sum_{i=1..3*p-2} a(i,p) * C(n-1,i-1)/(i+3).at n=18A087107
• Triangle read by rows: T(n,k)=(-1)^k*(2n/(2n-k))5^(n-k)*binomial(2n-k,k) (0<=k<=n, n>=1).at n=31A104064
• Beginning with sequence A096903, choose only those rows such that when a(n) is in factored form all exponents of a(n) are consecutive starting at 1.at n=39A117311
• Triangle a(n,k) = binomial(n,k)*binomial(n+1,k+1)*binomial(n+2,k+2) read by rows.at n=23A187552
• Triangle T(n,k), 0 <= k <= n, given by (0, 1, 0, 2, 0, 3, 0, 4, 0, 5, ...) DELTA (1, 2, 3, 4, 5, 6, 7, 8, 9, ...) where DELTA is the operator defined in A084938.at n=32A211608
• a(n) = 30*n^2.at n=35A244636
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 203", based on the 5-celled von Neumann neighborhood.at n=37A270727
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 537", based on the 5-celled von Neumann neighborhood.at n=33A272792
• Factorial base exp-function: digits in factorial base representation of n become the exponents of successive prime factors whose product a(n) is.at n=69A276076
• Triangle read by rows where T(n,k), n>=1, 1<=k<=n is the number of (0,1)-matrices of size n with the first row and column sum = k and remaining sums = 1.at n=31A308498
• a(n) = A276086(A003415(n)), where A003415 is the arithmetic derivative, and A276086 is the primorial base exp-function.at n=54A327859
• If A327928(n) > 0, a(n) = A276086(n), otherwise a(n) = A003415(n).at n=80A327963
• If A327928(n) is zero, a(n) = A003415(n), otherwise a(n) = A327859(n) = A276086(A003415(n)).at n=53A328097
• Twisted variant of A276086 indexed by A328625.at n=41A328624
• Twisted variant of A276086 indexed by A328626.at n=41A328627
• Numbers k such that k and usigma(k) have the same set of prime divisors, where usigma(k) is the sum of unitary divisors of k (A034448).at n=20A329858
• a(n) = A276086(A328622(n)).at n=59A346102