-79
domain: Z
Appears in sequences
- Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); A000099 gives values of n where |P(n)| sets a new record; sequence gives closest integer to P(A000099(n)).at n=48A000036
- G.f.: Product_{k>0} (1-x^(5k-1))*(1-x^(5k-4))/((1-x^(5k-2))*(1-x^(5k-3))).at n=64A007325
- Shifts left when Moebius transformation applied twice.at n=27A007551
- Expansion of e.g.f: (1+x)*cos(x).at n=79A009001
- Expansion of log(1+log(1+x))/exp(x).at n=4A009318
- a(n) = 7^n - n^7.at n=2A024082
- Discriminants of quadratic number fields Q(sqrt -n) for n squarefree.at n=49A033197
- Triangle T(n,k) read by rows: coefficients of a polynomial sequence occurring when calculating the n-th derivative of Lambert function W.at n=7A042977
- a(n) is the coefficient of the term a^(-n) in the asymptotic series for the least positive zero of the generalized Rogers-Ramanujan continued fraction.at n=5A050203
- Start with 0, run through primes >=5, adding if -1 mod 6, subtracting if +1 mod 6.at n=49A051356
- a(n) = Sum_{i=n-4..n-1} (-1)^i*a(i), a(1)=1, a(2)=1, a(3)=1, a(4)=1.at n=42A051793
- a(n) = Sum_{i=n-4..n-1} (-1)^i*a(i), a(1)=1, a(2)=1, a(3)=1, a(4)=1.at n=47A051793
- a(n) = Sum_{i=n-6..n-1} (-1)^i * a(i), a(1)=1, a(2)=1, a(3)=1, a(4)=1, a(5)=1, a(6)=1.at n=65A051794
- a(n) = Sum_{i=n-6..n-1} (-1)^i * a(i), a(1)=1, a(2)=1, a(3)=1, a(4)=1, a(5)=1, a(6)=1.at n=58A051794
- Coefficients of the '6th-order' mock theta function phi(q).at n=33A053268
- Coefficients of the '6th-order' mock theta function gamma(q).at n=65A053274
- Smallest (in magnitude) nonzero number m such that n!+m is prime.at n=41A053714
- Smallest (in magnitude) nonzero number m such that n!+m is prime.at n=46A053714
- Table T(m,k)=m^k-k^m (with 0^0 taken to be 1) as square array read by antidiagonals.at n=47A055651
- Numbers n where 36n^2+24n+7 is prime (sorted by absolute values with negatives before positives).at n=56A056902