-935

Appears in sequences

• Expansion of Product_{m>=1} ((1+q^(2*m-1))/(1+q^(2*m)))^5.at n=15A029842
• Consider the power series (x + 1)^(1/3) = 1 + x/3-x^2/9 + 5x^3/81 + ...; sequence gives numerators of coefficients.at n=8A067622
• Determinant of the n X n matrix whose element (i,j) equals the |i-j|-th composite number, or 1 if i=j.at n=3A071080
• Expansion of (1-x)/(1+x^2+x^3).at n=40A078032
• The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n, 0 < r <= n (see Example).at n=9A110426
• a(n) = prime(n)*(prime(n + 1) + 1) - (n^3 + sum of digits of n^3).at n=15A123139
• Expansion of (1-2x-5x^2-7x^3+x^6)/((1-x)(1-x^3)^2).at n=36A141352
• Expansion of (1-5x^2-7x^3-2x^4+x^6)/((1-x)(1-x^3)^2).at n=37A141365
• Numerator of Bernoulli(n, -5/12).at n=3A159495
• a(n) = (5-3*5^n)/2.at n=4A165755
• Triangle read by rows:s(n,m)=Sum[StirlingS2[n, k]*StirlingS1[n - k, m]* Binomial[n, k]*(-1)^(m - k), {k, 0, n}];t[n,m]=s[n,m]+s[n,n-m].at n=17A174555
• Triangle read by rows:s(n,m)=Sum[StirlingS2[n, k]*StirlingS1[n - k, m]* Binomial[n, k]*(-1)^(m - k), {k, 0, n}];t[n,m]=s[n,m]+s[n,n-m].at n=18A174555
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 441", based on the 5-celled von Neumann neighborhood.at n=19A272224
• Dirichlet convolution of Fibonacci numbers with A349452 (Dirichlet inverse of A011782, 2^(n-1)).at n=10A349565
• Dirichlet inverse of function f(n) = 1+(A003415(n)*A276086(n)), where A003415 is the arithmetic derivative and A276086 is the primorial base exp-function.at n=14A359603
• Determinant of the pentadiagonal symmetric n X n Toeplitz Matrix with a=b=1, c=2.at n=12A360261
• Triangle of numerators for rational convergents to Taylor series of 1/Gamma(x+1) (not in lowest terms).at n=19A386677