-163

Appears in sequences

• Expansion of tanh(tan(x)*exp(x)).at n=5A009814
• arcsinh(sec(x)*arcsinh(x))=x+1/3!*x^3+13/5!*x^5-163/7!*x^7+12409/9!*x^9...at n=3A012828
• Zeroth row of infinite Latin square heading to -oo.at n=48A019585
• Coefficients of the '10th-order' mock theta function chi(q).at n=66A053284
• Simple quadratic fields (i.e., with a unique prime factorization).at n=0A061574
• Determinant of the n X n matrix whose element (i,j) equals |i-j| (Mod 3).at n=55A071768
• Signed primes: if prime(n) even, a(n) = 0; if prime(n) == 1 (mod 4), a(n) = prime(n); if prime(n) == -1 (mod 4), a(n) = -prime(n).at n=37A073579
• Start with 1, add the next number if one gets a prime then add the next number else subtract the next...at n=21A074170
• Abundance values of numbers whose abundance is (+-1) times a prime.at n=33A088006
• Expansion of 1/(1 - x + x^4).at n=31A099530
• G.f. satisfies: A(x) = 1/(1 + x*A(x^4)) and also the continued fraction: 1 + x*A(x^5) = [1; 1/x, 1/x^4, 1/x^16, 1/x^64, ..., 1/x^(4^(n-1)), ...].at n=32A101914
• Expansion of (1-x-2*x^2)/(1-x^2+x^3).at n=23A109248
• Row sums of number triangle A112334.at n=55A112335
• Expansion of q * f(-q, -q^11) / f(-q^5, -q^7) in powers of q where f(, ) is Ramanujan's general theta function.at n=78A113306
• 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=18A117081
• Expansion of (1 + x + x^2)/(1 - x^3 + x^4).at n=41A124750
• Expansion of q* (psi(q^9)/phi(q^9))/ (psi(q)/phi(q)) in powers of q where psi(),phi() are Ramanujan theta functions.at n=78A128143
• Expansion of psi(q^3)* phi(-q^3)* chi^2(-q^3)/( psi(-q)* phi(-q^18)) in powers of q where phi(), psi(), chi() are Ramanujan theta functions.at n=79A128145
• Riordan array (1/((1-2x)(1-x)^2), -x/(1-x)^2).at n=16A135552
• First differences of A140778.at n=58A140779