33825

Appears in sequences

• sigma_5(n), the sum of the 5th powers of the divisors of n.at n=7A001160
• Shifts 2 places left under binomial transform.at n=12A007476
• Expansion of 1/((1-2*x)*(1-7*x)*(1-10*x)).at n=4A016313
• Numerator of sum of -5th powers of divisors of n.at n=7A017673
• Fibonacci sequence beginning 0, 5.at n=20A022088
• Sum of n-th powers of divisors of 8.at n=5A034496
• Numerators of continued fraction convergents to sqrt(245).at n=8A041458
• a(n) = Xpower(n,3).at n=33A048732
• a(n) = n^3 + n^2 + n + 1.at n=32A053698
• Layer counting sequence for hyperbolic tessellation by regular pentagons of angle Pi/2.at n=10A054888
• a(n) = n*(13*n^2 - 7)/6.at n=25A062025
• Numbers of the form (2^(m*r)-1)/(2^r-1) for positive integers m, r.at n=43A064896
• Binary string self-substitutions: a(n) is obtained by substituting the binary expansion of n for each 1-bit in the binary expansion of n.at n=33A065159
• a(n) = n^2*(2*n^2 + 1)/3.at n=15A071270
• Odd numbers k such that the number of 1's in binary representation of k equals omega(k), the number of distinct primes in the factorization of k.at n=35A071595
• Triangular array, read by rows: T(n,k) = Sum_{d|n} d^k, 0 <= k < n.at n=33A082771
• Decimal equivalent of the binary string generated by the n X n identity matrix.at n=3A119408
• Number of cases in which the first player is killed in a Russian roulette game where 5 players use a gun with n chambers and the number of bullets can be from 1 to n. Players do not rotate the cylinder after the game starts.at n=15A119610
• Numbers k such that 2*k+1, 4*k+1, 8*k+1 and 16*k+1 are primes.at n=29A124412
• Square array, read by antidiagonals, where row n+1 equals the partial sums of the sequence resulting from removing the terms in the first column and main diagonal from row n, for n>=0, with row 0 consisting of all 1's.at n=57A130462