-471

Appears in sequences

• Expansion of square of continued fraction 1/ ( 1+q/ ( 1+q^2/ ( 1+q^3/ ( 1+q^4/... )))).at n=36A055101
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 4.at n=41A060023
• Expansion of (1-x)^(-1)/(1-2*x+x^2+x^3).at n=17A077856
• Expansion of (1-x)^(-1)/(1+x^2-x^3).at n=42A077888
• For all n >= 2, Sum_{2<=k<=n, gcd(k,n)>1} a(k) = n. a(1)=1.at n=54A124386
• 2+4*2^n-3^n.at n=6A135913
• Values of n such that L(15) and N(15) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=10A227518
• The integer-valued quartic beginning: 0, 9, 0, 9, 7.at n=6A241290
• Smallest term in wrecker ball sequence starting with n.at n=12A248952
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 405", based on the 5-celled von Neumann neighborhood.at n=11A271815
• Hurwitz inverse of [1 followed by primes], [1,2,3,5,7,...].at n=5A302194
• G.f. A(x) satisfies: 1 = Sum_{n>=0} (A(x)^n - x)^n.at n=7A305136
• a(n) = Sum_{k=1..n} (-1)^(k+1) * floor(n/(2*k-1))^k.at n=34A350167
• Square array T(n,k), n >= 1, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. -log(1 - f^(k-1)(x)), where f(x) = log(1+x).at n=48A351420
• a(1) = 1; a(n) = Sum_{k=2..n} (-1)^k * k^2 * a(floor(n/k)).at n=12A361981