24624

Appears in sequences

• Octahedral torus number: a(n) = n^2 + 2*(Sum_{k=1..n-1} k^2) - 2*(floor((n+1)/2)^2 + 2*(Sum_{k=1..floor((n+1)/2)-1} k^2)) + (1 - (-1)^n)/2.at n=36A050442
• When expressed in base 2 and then interpreted in base 3, is a multiple of the original number.at n=24A062845
• Product of sums of divisors and non-divisors.at n=32A066859
• a(n) = 15n^2 + 13n^3.at n=12A085377
• (prime(n-1) + 1)*(prime(n+1) - 1).at n=35A087105
• Numbers k such that 13*k = A048720(29,k), where A048720 is carryless base-2 multiplication.at n=48A115805
• Triangle read by rows where the n-th row is the first row of M^n, with M the (n+1)-by-(n+1) matrix with (1,3,1,3,1,3,...) on its main diagonal and (3,1,3,1,3,1,...) on its superdiagonal.at n=39A124572
• Wiener index of the prism graph Y_n on 2n nodes.at n=35A138179
• Numbers with 50 divisors.at n=5A175756
• Numbers with prime factorization pq^4r^4.at n=5A190012
• Number of (w,x,y,z) with all terms in {1,...,n} and w>2x and y<3z.at n=19A212516
• Positive integers m with 2^m*p(m) + 1 prime, where p(.) is the partition function (A000041).at n=27A236390
• Number of strict partitions of 2n + 1 having 1 more even part than odd, so that there is at least one ordering of the parts in which the even and odd parts alternate, and the first and last terms are even.at n=43A239873
• a(n) = 19*n^2.at n=36A244631
• Number of tilings of a 10 X n rectangle using 2n pentominoes of shape I.at n=18A247117
• Numbers n such that the sum of the digits squared times the sum of the digits of n to some power equals n.at n=8A257784
• Alternating sum of octagonal pyramidal numbers.at n=36A269429
• Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 113", based on the 5-celled von Neumann neighborhood.at n=30A278292
• Irregular triangle read by rows: T(n,k) is the number of unordered pairs of nodes at distance k in the n-Apollonian network.at n=22A289722
• a(n) = least k such that both the sum of the smallest n divisors of k and the sum of its greatest n divisors are prime numbers.at n=39A290169