54946

Appears in sequences

• Expansion of q^(-1/4) * (eta(q^4) / eta(q))^2 in powers of q.at n=25A001936
• Even triangular numbers with prime indices.at n=34A034955
• Triangular numbers with sum of digits = 28.at n=12A068132
• Triangular numbers in which the k-th digit, numbering them from right to left, either divides k or is a nonzero multiple of k. Is 1 only when k has no other single-digit divisor (less than 10).at n=16A069558
• Triangular numbers in which the k-th significant digit either divides k or is a multiple of k.at n=30A069559
• Triangular number x such that x + reverse of x is a prime.at n=14A072387
• a(n) = (9n^4 - 18n^3 + 18n^2 - 9n + 2)/2.at n=10A079903
• Numerator of (9*(n^4 - 2*n^3 + 2*n^2 - n) + 2)/(2*(2*n-1)).at n=10A096430
• Hexagonal numbers for which the sum of the digits is also a hexagonal number.at n=34A117062
• G.f.: A(x) = x/(1-x) o x/(1-x^3) o x/(1-x^5) o x/(1-x^7) o..., a composition of functions x/(1-x^(2*n-1)) for n=1,2,3,...at n=23A206720
• Partial sums of A253089.at n=44A255601
• Triangular numbers T(i) that can be expressed as the sum of 2 positive triangular numbers, T(j)+T(k), and for which i+j+k is a triangular number, where T is A000217.at n=7A343426
• Hexagonal numbers that are sphenic numbers.at n=34A380007