334719

Appears in sequences

• Sum of all parts of all partitions of n.at n=33A066186
• a(n) = numerator of r(n): r(n) is such that, for every positive integer n, the continued fraction (of rational terms) [r(1);r(2),...,r(n)] equals n(n+1)/2, the n-th triangular number.at n=11A128536
• Expansion of 1 / (1 - x - x^3 + x^6) in powers of x.at n=45A193771
• Expansion of Product_{k>=1} (1 - (x*(1 + x))^k).at n=30A309575
• a(0) = 1, a(1) = 0, a(2) = a(3) = 1; thereafter, a(n) = a(n-1) + a(n-2) + a(n-4).at n=25A347493
• a(n) is the number of permutations pi of [n] that avoid {231,321} so that pi^4 avoids 132.at n=23A368299