47278

Appears in sequences

• Even triangular numbers with prime indices.at n=32A034955
• Triangular numbers with sum of digits = 28.at n=9A068132
• Triangular numbers with property that digits alternate in parity.at n=40A068882
• Hexagonal numbers for which the sum of the digits is also a hexagonal number.at n=32A117062
• Triangular numbers that are the difference of nonnegative cubes.at n=12A129965
• A123689 based sequence as SO(A123689(n)) dimensions.at n=19A131513
• Triangular numbers p*(p+1)/2 with p prime such that 1+(number of prime factors of p+1) is prime.at n=26A144549
• 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=37A254957
• Hexagonal numbers (A000384) that are the sum of twelve consecutive hexagonal numbers.at n=0A257723
• Number of ordered set partitions of [n] with at most five elements per block.at n=7A276925
• Hexagonal numbers (A000384) in which parity of digits alternates.at n=18A297645
• Number of nX6 0..1 arrays with every element equal to 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.at n=24A298185
• a(n) = 1*2*3 + 4*5*6 + 7*8*9 + 10*11*12 + 13*14*15 + 16*17*18 + ... + (up to n).at n=27A319014
• a(n) = (m(n)^2 + 3)*(m(n)^2 + 7)/32, where m(n) = 2*n - 1.at n=17A336535
• Number of strict compositions of n with alternating parts strictly decreasing.at n=48A342343
• Hexagonal numbers that are products of exactly four distinct primes.at n=24A381920
• Triangle read by rows: T(n,k) is the number of proper vertex colorings of the n-complete bipartite graph with a perfect matching removed using exactly k interchangeable colors, for n >= 1 and 2 <= k <= 2n.at n=39A385437