103740

Appears in sequences

• a(n) is the smallest positive integer such that a(n)*(1^n + 2^n + ... + x^n) is a polynomial in x with integer coefficients.at n=37A064538
• Numbers k such that phi(k) < k/5.at n=11A066765
• Triangular numbers which remain triangular when the most significant digit is moved to the end.at n=13A067269
• First differences of A069473.at n=8A069474
• Integers which have more than one coprime factorization into nonprime powers which sum to the same number.at n=8A072940
• Numbers with six distinct prime divisors.at n=28A074969
• Smallest triangular number with n prime factors (counted without multiplicity).at n=6A076551
• Triangular numbers which are 7-almost primes.at n=32A076581
• Smallest triangular number divisible by exactly n triangular numbers.at n=16A076983
• Triangular numbers > 0 with a prime signature that has not occurred earlier.at n=41A085076
• a(n) = Max { k>0 : denominator(S(k,2n+1)) } where S(k,s)=sum(i=1,k,i^s*H(i,2)) - H(k,2)*H(k,-s) and H(k,r)=sum(i=1,k,1/i^r) are the generalized harmonic numbers.at n=17A096442
• Hexagonal numbers for which both the sum of the digits and the product of the digits are also hexagonal numbers.at n=22A117064
• Triangular numbers that are sandwiched between two semiprimes; or triangular numbers t such that t-1 and t+1 are both semiprime.at n=22A121898
• a(n) = -A141055(n)/(n+1)!.at n=36A141321
• Smallest hexagonal number with n distinct prime factors.at n=4A156237
• Triangular numbers that are sums of twin prime pairs.at n=16A165966
• Numbers k such that bigomega(k)^omega(k) > k.at n=41A177871
• Number of solutions to a+b+c < d+e with each of a,b,c,d,e in {1..n+1}.at n=12A179441
• Numbers with prime factorization pqrstu^2.at n=5A189985
• Triangular numbers k whose divisors can be partitioned into three disjoint sets whose sums are all sigma(k)/3.at n=33A206025