-955

Appears in sequences

• a(0) = 1, a(1) = 0, a(2) = -1; for n >= 3, a(n) = - a(n-2) + Sum_{ primes p with 3 <= p <= n} a(n-p).at n=47A002121
• Expansion of (1-x)/(1+2*x-x^2+2*x^3).at n=7A078059
• Recurrence: a(n) = -Sum[i=0..n-1, a(i)*C(n+1,i) ], a(0)=1.at n=5A103996
• The real part of complex sequence: a(n) = a(n-1) + (1+i)*a(n-2).at n=14A143055
• Numerator of Hermite(n, 5/12).at n=3A159480
• The Faulhaber-Knuth a(0,n) sequence.at n=13A251926
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 1", based on the 5-celled von Neumann neighborhood.at n=15A269909
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 193", based on the 5-celled von Neumann neighborhood.at n=19A270688
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 451", based on the 5-celled von Neumann neighborhood.at n=19A270844
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 413", based on the 5-celled von Neumann neighborhood.at n=15A272010
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 449", based on the 5-celled von Neumann neighborhood.at n=19A272255
• Expansion of f(-x)^3 * f(-x^2) * chi(-x^3)^3 in powers of x where chi(), f() are Ramanujan theta functions.at n=43A280328
• a(n) = Sum_{k=0..floor(n/8)} (-1)^k * binomial(n-4*k,4*k).at n=18A348309