-567

Appears in sequences

• a(n) = 3^n - n^4.at n=6A024027
• a(n+1) = a(n) - a(floor(n/2)), with a(0)=0, a(1)=1.at n=59A062187
• Start with 1, add the next number if one gets a prime then add the next number else subtract the next...at n=36A074170
• Expansion of 1/sqrt(1 - 6x + 21x^2).at n=5A098340
• Triangle read by rows: coefficients of polynomials arising from the recurrence A[n](x) = A[n-1]'(x)/(1-x) with A[0] = exp(x).at n=31A144505
• a(n) = 9^n-8^n-7^n-6^n-5^n-4^n-3^n-2^n-1.at n=3A147996
• a(n) = n^3 - (3*(n+3))^2.at n=9A153259
• a(n) = (n+1)*(9-9*n+5*n^2-n^3).at n=6A157371
• a(n)=n^3-(n-1)^3-(n-2)^3-...-1.at n=8A179298
• Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of the symmetric matrix A202869; by antidiagonals.at n=15A202870
• Triangle, read by rows of n^2 terms, where row n equals the coefficients in the series reversion of the function G(y,n)-1 such that: y = Sum_{m>=1} 1/G(y,n)^(2*n*m) * Product_{k=1..m} (1 - 1/G(y,n)^(2*k-1)).at n=19A214690
• Triangle of coefficients arising in study of up-down permutations.at n=15A244888
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 161", based on the 5-celled von Neumann neighborhood.at n=19A270453
• Expansion of 1/(1 + x^2/(1 + x^3/(1 + x^5/(1 + x^7/(1 + x^11/(1 + ... + x^prime(k)/(1 + ... ))))))), a continued fraction.at n=47A292803
• Triangle read by rows : inverse of triangle A339207.at n=40A339209
• Fourier coefficients of the modular form (1/t_{6a}^3) * (1-6*sqrt(-3)/t_{6a}) * (1-12*sqrt(-3)/t_{6a})^(2/3) * F_{6a}^16.at n=3A341572
• G.f. A(x) satisfies A(x) = (1 + 9*x*A(x)^2)^(1/3).at n=6A376636