18358

Appears in sequences

• A thinks of x in set M; B asks questions: is x in T?; A may lie once but only when true answer is Yes; a(n) is maximal size of M such that B can determine x with <= n questions.at n=16A010033
• Convolution triangle based on A001333(n), n >= 1.at n=49A054458
• Numbers k such that the sum of the reverses of 1,2,...,k is a perfect square.at n=8A074238
• Difference between the sum of next prime(n) natural numbers and the sum of next n primes.at n=19A082749
• Triangle read by rows in which the binomial transform of the n-th row gives the Euler transform of the n-th diagonal of Pascal's triangle (A007318).at n=61A116672
• Triangle of coefficients of polynomials v(n,x) jointly generated with A209695; see the Formula section.at n=50A209696
• Number of nonnegative solutions to x^2 + y^2 + z^2 < n^2.at n=32A218711
• Index sequence for limit-block extending A000002 (Kolakoski sequence) with first term as initial block.at n=38A246145
• G.f.: M(F(x)) is a power series in x consisting entirely of positive integer coefficients such that M(F(x) - x^k) has negative coefficients for k>0, where M(x) = 1 + x*M(x) + x*M(x)^2 is the g.f. of the Motzkin numbers A001006.at n=28A251571
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 670", based on the 5-celled von Neumann neighborhood.at n=33A273394
• Number of nX4 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=6A281761
• T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=51A281765
• Number of 7Xn 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.at n=3A281771
• Records of A058249: (Smallest prime >= 2^n) - (largest prime <= 2^n).at n=38A331620
• Numbers k such that 3^(k-1) - 2^k is prime.at n=30A363375
• Expansion of Sum_{n>=1} x^(n*(n+1)/2)*((1+x)/(1-x))^n.at n=23A369425