114960

Appears in sequences

• a(n) = T(n,n+1), array T as in A047130.at n=10A047136
• Triangular numbers k whose divisors can be partitioned into three disjoint sets whose sums are all sigma(k)/3.at n=35A206025
• Triangular arithmetic on half-squares: b(n)*(b(n) - 1)/2 where b(n) = floor(n^2/2).at n=31A227970
• Refactorable triangular numbers.at n=24A272524
• The first of three consecutive hexagonal numbers the sum of which is equal to the sum of three consecutive primes.at n=11A298272
• Primitive practical numbers (A267124) with a record gap to the next primitive practical number.at n=16A334883
• Semiperimeter of the unique primitive Pythagorean triple whose inradius is A002315(n) and such that its long leg and its hypotenuse are consecutive natural numbers.at n=3A378380
• a(n) = (1/2) * Sum_{k=0..n} 2^k * binomial(2*k+2,2*n-2*k+1).at n=8A387550