-277

Appears in sequences

• sech(sinh(x)*cos(x))=1-1/2!*x^2+13/4!*x^4-277/6!*x^6+12185/8!*x^8...at n=3A012570
• Signed distance of primes from LCM(1,...,x) being closest to it. Arguments x were selected from A000961 (powers of primes including primes) in order to use distinct values of LCM exactly once. When both closest primes are in the same distance, then negative were used.at n=51A058030
• a(n) = mu(n)*prime(n).at n=58A062007
• a(1) = 1, a(2n) = a(2n-1) + c(n) and a(2n+1) = a(2n) - p(n), where c(n)=A002808(n) and p(n)=A000040(n) are the n-th composite and n-th prime numbers, respectively.at n=43A073891
• Evaluate n^4 - 93n^3 + 3196n^2 - 48008n + 265483 for n >= 0, record the primes.at n=20A095974
• f(f(n+1))-f(f(n)), where f(0)=0, and for m>0, f(m) = sigma(m) = A000203(m).at n=66A111408
• McKay-Thompson series of class 36e for the Monster group.at n=45A112175
• a(n) = 5*a(n-2) + 2*a(n-3).at n=9A135949
• Expansion of 1 / (1 - x^5 - x^8 + x^9) in powers of x.at n=50A257543
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 155", based on the 5-celled von Neumann neighborhood.at n=9A270328
• First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 395", based on the 5-celled von Neumann neighborhood.at n=11A271688
• Start with 2, then successively subtract the primes 3, 5, 7, ...at n=13A282329
• G.f.: Im((i*x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1).at n=43A292043
• Numerators of sequence whose exponential self-convolution yields sequence 1, 2, 3, 5, 7, 11, 13, ... (1 with primes).at n=6A300621
• a(0)=0; thereafter a(n) = a(n-1)+n if the (n-1)st digit of the sequence is even, otherwise a(n) = a(n-1)-n.at n=42A309216
• a(n) is the square spiral number of the initial digit of the number placed at the n-th move of the Prime scrabble game: placing integers on a grid one digit per cell as to form primes, with minus sign in case of vertical placement.at n=49A332067
• G.f.: Sum_{k>=0} (-1)^k * k! * x^(k*(k + 1)/2) / Product_{j=1..k} (1 - x^j).at n=19A339435
• 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 v.at n=61A345424
• Numerators of the partial alternating sums of the reciprocals of the alternating sum of divisors function (A206369).at n=28A379621