-397

Appears in sequences

• Expansion of e.g.f. cos(tan(x)*cosh(x)), even terms only.at n=3A009075
• A variation on A056223.at n=61A051171
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 5.at n=32A060024
• a(n+1) = a(n) - a(floor(n/2)), with a(0)=0, a(1)=1.at n=48A062187
• Evaluate n^4 - 93n^3 + 3196n^2 - 48008n + 265483 for n >= 0, record the primes.at n=17A095974
• McKay-Thompson series of class 36e for the Monster group.at n=49A112175
• a(n) = -a(n-2) - a(n-3).at n=38A112455
• a(n) = 36*n^2 - 810*n + 2753, producing the conjectured record number of 45 primes in a contiguous range of n for quadratic polynomials, i.e., abs(a(n)) is prime for 0 <= n < 44.at n=5A117081
• a(n) = 6*n^3 - 263*n^2 + 3469*n - 12841.at n=17A218457
• Expansion of f(-x^1, -x^7) * f(-x^2, -x^6) / (f(-x^3, -x^5) * f(-x^4, -x^4)) in powers of x where f(, ) is Ramanujan's general theta function.at n=45A226559
• a(n) = (Sum_{k=0..n-1} (8*k^2+12*k+5)*A244973(k))/n^2.at n=4A245088
• Expansion of f(-x) * f(x^4, x^8) / f(-x^3)^2 in powers of x where f(, ) is Ramanujan's general theta function.at n=38A263050
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 219", based on the 5-celled von Neumann neighborhood.at n=11A270933
• Expansion of Product_{k>=1} (1 - x^k)^(k*(k+1)/2).at n=12A292386
• Inverse Euler transform of {1,0,1,0,0,0,...}.at n=24A320786
• a(n) = -n^2 + 21*n - 1.at n=32A332884
• For 1<=x<=n, 1<=y<=n, with gcd(x,y)=1, write 1 = gcd(x,y) = u*x+v*y with u,v minimal; a(n) = sum of the values of u+v.at n=55A345425
• a(n) = Sum_{k=1..n} (-1)^(k-1) * binomial(k+1,2) * floor(n/k).at n=31A366937
• Partial alternating sums of Pillai's arithmetical function (A018804).at n=40A370895
• Difference 2*k - A003961(k) computed for k for which this difference divides difference (A003961(k)-sigma(k)), where A003961 is fully multiplicative with a(prime(i)) = prime(i+1).at n=50A379216