21455

Appears in sequences

• Rhombic dodecahedral numbers: a(n) = n^4 - (n - 1)^4.at n=17A005917
• a(n) = n*(n^2 + 1)/2.at n=35A006003
• Row sums of triangle A074135.at n=34A074132
• Sum of terms in each group in A074147.at n=34A074149
• Number of (w,x,y) with all terms in {0,...,n} and even range.at n=34A212975
• Number of dominating subsets of the wheel graph W_n.at n=14A213661
• Smallest k<3*2^n such that 3*2^n+k is the smallest of four consecutive primes in arithmetic progression or 0 if no solution.at n=28A230852
• Number of nX4 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.at n=4A240324
• Number of n X 5 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.at n=3A240325
• T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.at n=31A240327
• T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.at n=32A240327
• Number of pairs of orientable necklaces with n beads and up to 3 colors; i.e., turning the necklace over does not leave it unchanged. The turned-over necklace is not included in the count.at n=12A278639
• 38-gonal numbers: a(n) = n*(18*n-17).at n=35A282850
• Number of permutations p of [n] such that 0p has a nonincreasing jump sequence beginning with two.at n=16A292168
• G.f.: exp( Sum_{n>=1} A020696(n)/2 * x^n/n ), where A020696(n) = Product_{d|n} (d + 1).at n=18A299437
• a(n) = (1/2)*(n^3 + n*(n mod 2)).at n=34A317614
• G.f. satisfies A(x) = exp( Sum_{k>=1} A(x^k) * x^k/(k * (1 + 2*x^k)) ).at n=23A363580