33111

Appears in sequences

• Crystal ball sequence for A_7 lattice.at n=4A008390
• Numbers with multiplicative digital root value 9.at n=33A034056
• n written efficiently in natural numbers base, i.e., in form ...wxyz where n = 1*z + 2*y + 3*x + 4*w + ... with z <= 1, y < 2, x < 3, w < 4, ...at n=32A055611
• Roman numerals written using 1 for I, 2 for V, 3 for X, 4 for L, 5 for C, 6 for D, 7 for M.at n=22A061493
• Numbers with at least 2 distinct digits and whose "rotations" (including the number itself) are multiples of these digits; repeated digits allowed but digit 0 not allowed.at n=27A066484
• Number of planar partitions of n with exactly 3 rows.at n=19A091357
• Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+89)^2 = y^2.at n=11A129298
• a(n) = 196*n^2 - n.at n=12A158003
• a(n) = 169*n^2 - 13.at n=13A158550
• Composite numbers whose multiplicative digital root is 9.at n=27A201024
• List of primitive words over the alphabet {1,3}.at n=45A213970
• Numbers of the form 7^j + 8^k, for j and k >= 0.at n=33A226825
• Concatenation of multiplicities of prime divisors of highly composite numbers A002182(n).at n=28A245500
• Least positive integer k such that k^3 + (k+1)^3 + ... + (k+n-2)^3 + (k+n-1)^3 is the sum of two positive cubes. a(n) = 0 if no solution exists.at n=26A273877
• Numbers k such that the product of their digits divides both k and R(k), where R(k) is the digits reverse of k.at n=39A277856
• Numbers that are divisible by the sum of their digits and for which the sum of digits equals the product of digits.at n=22A280355
• a(n) = (15*2^(2*n+2) + 15*2^(n+2) + 5*2^(n+3)*3^(n+1) - 24*5^(n+1))/120.at n=6A281581
• Expansion of exp( Sum_{n>=1} -sigma_7(n)*x^n/n ) in powers of x.at n=5A283337
• If pd(x) is the product of the digits of the number x and sd(x) the sum of the digits of the number x then the sequence lists all the positive numbers n for which pd(n) = sd(n) and sd(pd(n)) = pd(sd(n)).at n=47A305257
• Odd numbers that are divisible by the product of their digits.at n=39A342949