42355

Appears in sequences

• Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 27 ones.at n=21A031795
• Number of partitions of n into parts not of the form 13k, 13k+5 or 13k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=46A035953
• Numbers n for which there are exactly six k such that n = k + (product of nonzero digits of k).at n=28A096927
• G.f.: A(x) = Sum_{n>=0} x^n/(1-x)^A038722(n), where A038722(n) = floor(sqrt(2*n)+1/2)^2 - n + 1.at n=15A192317
• Expansion of Product_{k>=1} 1/(1 - x^k)^(k*(k^2+1)/2).at n=10A302448
• Sum of all the parts in the partitions of n into 9 squarefree parts.at n=43A326523
• Triangle read by rows: T(n, k) = C(n, k)*Sum_{j=0..n} C(n, k-j)*C(n+j, j)/C(2*j, j).at n=40A339000