19160

Appears in sequences

• Expansion of 1/((1+x)*(1-x)^5).at n=28A001752
• Internal energy series for b.c.c. lattice.at n=4A003497
• a(n) = n*(n + 1)*(2*n^2 + 2*n - 1)/6.at n=14A006324
• Pisot sequence T(7,10), a(n) = floor(a(n-1)^2/a(n-2)).at n=39A020752
• a(n) = the number of squares with at most n digits and first digit 1.at n=9A083379
• Structured small rhombicubeoctahedral numbers.at n=14A100149
• Triangle T(n, k) = coefficients of ( t(n, x) ) where t(n, x) = (1-x)^(n+1)*p(n, x)/x, p(n, x) = x*D( p(n-1, x) ), with p(1, x) = x/(1-x)^2, p(2, x) = x*(1+x)/(1-x)^3, and p(3, x) = x*(1+6*x+x^2)/(1-x)^4, read by rows.at n=38A166344
• Triangle T(n, k) = coefficients of ( t(n, x) ) where t(n, x) = (1-x)^(n+1)*p(n, x)/x, p(n, x) = x*D( p(n-1, x) ), with p(1, x) = x/(1-x)^2, p(2, x) = x*(1+x)/(1-x)^3, and p(3, x) = x*(1+6*x+x^2)/(1-x)^4, read by rows.at n=42A166344
• Triangle, read by rows, that transforms rows into diagonals in the table of coefficients of successive iterations of x+x^2 (cf. A122888).at n=22A166900
• Column 1 of triangle A166900.at n=5A166901
• Number of 2X3 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2*n^2 (number of collections of 2 zero-sum 3-vectors with total modulus squared not more than 2*n^2, ignoring vector and component permutations).at n=20A192698
• Concatenation of n-th prime and n-th nonprime.at n=42A253910
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 454", based on the 5-celled von Neumann neighborhood.at n=41A272278
• Larger of amicable pair m < n defined by t(n) = m and t(m) = n where t(n) = psi(n) - n and psi(n) = A001615(n) is the Dedekind psi function.at n=10A323330
• Triangle read by rows: T(n,k) is the number of sets of integer-sided rectangular pieces that can tile an n X k rectangle, 1 <= k <= n.at n=31A360629
• Expansion of e.g.f. (2 - exp(x))^4.at n=8A377399