30628
domain: N
Appears in sequences
- Ramanujan's approximation to population of x^2 + y^2 <= 2^n.at n=17A000691
- Degrees of irreducible representations of Thompson group Th.at n=5A003916
- Triangular numbers whose digit permutations yield at least two further triangular numbers.at n=20A069674
- a(1) = 1, a(n+1)= smallest triangular number greater than the n-th partial sum.at n=14A076971
- Smaller of the two successive triangular numbers which differ in the use of only one digit.at n=41A077759
- A123689 based sequence as SO(A123689(n)) dimensions.at n=17A131513
- 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, 1, -1), (0, 1, 1), (1, -1, -1)}.at n=12A148049
- a(n) = larger member of n-th pair of distinct, positive, triangular numbers whose sum and difference are also triangular numbers.at n=8A185128
- Triangular numbers which have one or more occurrences of exactly five different digits.at n=19A241788
- Triangular numbers n with digits d_1, d_2, ..., d_k such that d_1*(d_1+1)/2 + ... + d_k*(d_k+1)/2 is a triangular number.at n=29A254957
- The intersection of hexagonal numbers (A000384) and centered 9-gonal numbers (A060544).at n=41A272399
- Triangular numbers that are repdigits with length > 2 in some base.at n=22A274084
- Triangular numbers of the form k^2 + 3.at n=3A328791
- Semiperimeter of the unique primitive Pythagorean triple whose inradius is A000032(n) and such that its long leg and its hypotenuse are consecutive natural numbers.at n=10A380823