45885

Appears in sequences

• Number of alternating sign 2n+1 X 2n+1 matrices symmetric about the vertical axis (VSASM's); also 2n X 2n off-diagonally symmetric alternating sign matrices (OSASM's).at n=5A005156
• Expansion of (1-x^5) / (1-x)^5.at n=38A008487
• Odd numbers with exactly 5 distinct prime factors.at n=16A046391
• Odd squarefree abundant numbers.at n=14A112643
• Row sums of triangle A115237.at n=37A115238
• Odd unitary abundant numbers.at n=14A129485
• Odd squarefree numbers n such that the cyclotomic polynomial Phi(n,x) is not coefficient convex.at n=25A146960
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (-1, 1, 1), (1, -1, -1), (1, 0, 0)}.at n=11A148264
• a(n) = (2*n^3 + 5*n^2 - 3*n)/2.at n=34A162256
• Number of ways to arrange 3 nonattacking triangular rooks on an nXnXn triangular grid.at n=12A193981
• Primitive, odd, squarefree abundant numbers.at n=14A249263
• a(n) is the smallest m such that A001414(m)=n and ((m=0) mod n) and m/n is both squarefree and prime to n, or 0 if no such m exists.at n=55A267000
• Squarefree primitive abundant numbers (first definition: having only deficient proper divisors).at n=33A298973
• Odd squarefree composite numbers k, divisible by the sum of their prime factors, sopfr (A001414).at n=29A308643
• Subsequence of A071395. The extra constraint is m is not a term if m*q/p is abundant where prime p|m and q is the least prime larger than p.at n=9A333967
• Odd unitary abundant numbers whose unitary abundancy is closer to 2 than that of any smaller odd unitary abundant number.at n=9A335052
• Primitive abundant numbers version 2 (abundant numbers all of whose proper divisors are deficient numbers) and increasing any prime factor in the prime factorization gives a non-abundant number when factored back.at n=34A335557
• Triangle read by rows: T(n,k) is the coefficient of x^k in the ZZ polynomial of the hexagonal graphene flake O(3,3,n).at n=43A338158
• Odd non-coreful abundant numbers: the odd terms of A308127.at n=14A339938
• The denominators of the semiderivative of the Bernoulli polynomials at x = 1 and normalized by sqrt(Pi).at n=12A346710