73150
domain: N
Appears in sequences
- a(n) = 1^2 + 3^2 + 5^2 + 7^2 + ... + (2*n-1)^2 = n*(4*n^2 - 1)/3.at n=38A000447
- Binomial coefficient C(7n,n-8).at n=3A004376
- Binomial coefficients C(n,74).at n=3A017738
- Binomial coefficients C(77, n).at n=3A017793
- Expansion of Product_{m>=1} (1+m*q^m)^-25.at n=6A022717
- a(n) = (prime(n)-3)*(prime(n)-5)*(prime(n)-7)/48.at n=35A030003
- a(n) = T(2*n+1, n), array T as in A054106.at n=9A054109
- Tetrahedral numbers n*(n+1)*(n+2)/6 with n, n+1 and n+2 nonprime.at n=22A152622
- Sequence related to Hankel transform of super-ballot numbers.at n=36A156126
- The fourth left hand column of triangle A167552.at n=9A168302
- Convolution of natural numbers (A000027) with tetradecagonal numbers (A051866).at n=19A220212
- a(n) = binomial(3*n+2,3).at n=24A228888
- a(n) = (32*n^3 - 2*n)/3.at n=19A267031
- a(n) = (5*n + 5)*(5*n + 6)*(5*n + 7)/6.at n=14A300523
- Numbers k satisfying gcd(k^2, sigma(k^2)) > sigma(k), where sigma is the sum-of-divisors function.at n=30A322154
- a(n) is the least integer that can be expressed as the difference of two pentagonal numbers in exactly n ways.at n=11A334034
- Smallest k such that the k-th tetrahedral number is divisible by exactly n tetrahedral numbers.at n=33A342808
- Number of different ways to partition the set of vertices of a convex (n+11)-gon into 4 nonintersecting polygons.at n=10A350286
- Expansion of e.g.f. exp( x^2/2 + x^3/6 + x^4/24 ).at n=11A390846