24648
domain: N
Appears in sequences
- Numerators of continued fraction convergents to sqrt(503).at n=7A041960
- Positions of 4-digit terms in the continued fraction for Pi (3 is at position 0).at n=20A048959
- Numbers k such that sopf(k) = sopf(k+3), where sopf(k) = A008472(k).at n=26A063969
- a(n) = 3^n mod n^3.at n=30A066607
- Engel expansion of sinh(1/2).at n=39A068379
- Starts for strings of at least five consecutive nonsquarefree numbers.at n=15A078144
- a(n) = (prime(n)-1)*(prime(n)+1).at n=36A084920
- Prime(prime(n))^2-1.at n=11A092771
- Numbers k such that k^4 = x^3 + y^2 has an integer solution.at n=47A096741
- a(n) = number of ways to dispose two pawns on a chessboard of size n X n (two dispositions are equivalent if one can be rotated or reflected to give the other one).at n=25A141582
- a(n) = 2401*n^2 - 3822*n + 1520.at n=3A157370
- For positive n with prime decomposition n = Product_{j=1..m} (p_j^k_j) define A_n = Sum_{j=1..m} (p_j*k_j) and B_n = Sum_{j=1..m} (p_j^k_j). This sequence gives those n for which A_n and B_n are both prime and B_n = A_n + 2 (i.e., form a twin prime pair).at n=43A185718
- Sum of positive cranks minus the sum of positive ranks of all partitions of n.at n=44A195012
- Irregular triangle read by rows: T(n,k) is the number of binary pattern classes in the (7,n)-rectangular grid with k '1's and (7n-k) '0's: two patterns are in same class if one of them can be obtained by a reflection or 180-degree rotation of the other.at n=51A228166
- 6*s*t*(4*s^4 + 3*t^4), where s > 0, t = 1..s.at n=6A241923
- Number of length 1+3 0..n arrays with no disjoint pairs in any consecutive four terms having the same sum.at n=11A247727
- Table T(n,k), n>=1, k>=1, read by antidiagonals: T(n,k) = number of equivalence classes of ways of placing five 1 X 1 tiles in an n X k rectangle under all symmetry operations of the rectangle.at n=48A248017
- Table T(n,k), n>=1, k>=1, read by antidiagonals: T(n,k) = number of equivalence classes of ways of placing five 1 X 1 tiles in an n X k rectangle under all symmetry operations of the rectangle.at n=51A248017
- Self-convolution of the Dedekind psi function (A001615).at n=40A307502