24066

Appears in sequences

• Numbers of Twopins positions.at n=24A005688
• Convolution of natural numbers with Beatty sequence for the golden mean A000201.at n=43A023541
• Triangle, read by rows, where T(n,k) equals the sum of squares of numbers < 2^n having exactly k ones in their binary expansion.at n=17A110200
• a(n) = sum of squares of numbers < 2^n having exactly 3 ones in their binary representation.at n=5A110203
• Numbers k such that phi(k)*k is a triangular number.at n=10A115910
• a(n) = (2*n^3 + 5*n^2 + 11*n)/2.at n=27A162263
• Triangle read by rows: T(n,k) is the number of length n left factors of Dyck paths having k UUDD's, where U=(1,1) and D=(1,-1).at n=57A191793
• Smallest integer areas of integer-sided triangles where at least one side is of length prime(n).at n=42A229159
• a(n) = Sum_{i=0..n} digsum(i)^3, where digsum(i) = A007953(i).at n=51A231688
• Number of scalene triangles, distinct up to congruence, on a centered hexagonal grid of size n.at n=12A241236
• Number of n-node rooted identity trees with thinning limbs and root outdegree (branching factor) 7.at n=9A245126
• a(n) = n*(n+1)*(7*n+2)/6.at n=27A255211
• Sums of two primes (in increasing order) when equal to the product of their prime-counting functions.at n=14A272860
• Number of n X 2 0..1 arrays with no element unequal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=18A280227
• Number of 3-sided prudent polygons of area n.at n=11A348838