107525

Appears in sequences

• Expansion of Product_{k>=1} (1-x^k)^25.at n=7A010830
• Partition number array, called M32hat(-5)= 'M32(-5)/M3'= 'A144268/A036040', related to A011801(n,m)= |S2(-4;n,m)| (generalized Stirling triangle).at n=31A144341
• 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, 0, 1), (-1, 1, 1), (0, -1, 1), (0, 1, 0), (1, 1, -1)}.at n=11A148212
• G.f.: 1/(1-x) = Sum_{n>=0} a(n)*x^n*Product_{k=1..n+1} (1-x^k).at n=37A209405
• Where the number of divisors d(k) reaches a new record for numbers k whose prime factors are of the form 6*j+5.at n=9A326314