23056

Appears in sequences

• Expansion of 1/((1-6*x)*(1-10*x)).at n=4A016173
• s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = A001950 (upper Wythoff sequence).at n=24A024465
• Numbers whose set of base-12 digits is {1,4}.at n=35A032824
• Let F(x) = 1 + 1*x + 4*x^2 + 10*x^3 + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/Product_{n>=1} (1 - x^n)^a(n).at n=23A037452
• Number of partitions of n into squarefree parts.at n=47A073576
• Expansion of g.f. 2*x / ((1+x)^2*(1-2*x)^2).at n=11A095977
• Expansion of (1 + x - x^3 - 2*x^4)/(1 - x^2 - x^3 - x^4 - x^5).at n=26A109544
• Octagonal numbers for which the product of the digits is also an octagonal number.at n=40A117083
• Triangle T(n,k) read by rows: number of k X k triangular matrices with nonnegative integer entries and without zero rows or columns such that sum of all entries is equal to n, n>=1, 1<=k<=n.at n=58A137251
• Partial sums of A000014.at n=22A173383
• Triangle of coefficients of polynomials u(n,x) jointly generated with A208930; see the Formula section.at n=51A208909
• Number of (n+1)X(n+1) -11..11 symmetric matrices with every 2X2 subblock having sum zero and three or four distinct values.at n=2A211716
• Number T(n,k) of permutations of [n] with exactly k (possibly overlapping) occurrences of some of the consecutive patterns 123, 1432, 2431, 3421; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows.at n=30A231210
• Number of permutations of [n] avoiding simultaneously consecutive patterns 123, 1432, 2431, and 3421.at n=9A231211
• Smallest number that is the largest value in the Collatz (3x + 1) trajectories of exactly n initial values. (a(n)=0 if no such number exists.)at n=23A233293
• Cyclops octagonal numbers: a(n) = n*(3*n-2) with one "zero" digit in the middle.at n=5A285767
• Octagonal numbers (A000567) in which parity of digits alternates.at n=17A297647
• Number of integer partitions of the n-th squarefree number using squarefree numbers.at n=30A303365
• Expansion of x * (d/dx) Product_{k>=0} 1/(1 - x^(2^k)).at n=44A304909
• Product_{n>=1} (1 + x^n)^a(n) = g.f. of A000293 (solid partitions).at n=22A305842