-92
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=53A000036
- Expansion of e.g.f. 1/(1 - x*exp(x) + x^2*exp(2*x)).at n=4A002983
- Derivative of log of A002126.at n=17A023901
- a(n) = 6^n - n^7.at n=2A024069
- 7th differences of primes.at n=47A036268
- Generalized Stirling number triangle of first kind.at n=43A051379
- Coefficients of the '6th-order' mock theta function lambda(q).at n=15A053272
- Triangle T(n,k) giving coefficients in expansion of n!*binomial(x-n,n) in powers of x.at n=37A054655
- Triangle of numbers (when unsigned) related to congruum problem: T(n,k)=k^2+2nk-n^2 with n>k>0 and starting at T(2,1)=1.at n=56A057105
- "Real rabbits": a(n) = Re(c(n)) where complex c(n) = a(n) + i*b(n) and c(0) = i, c(1) = -i, c(n) = c(n-1) + i*c(n-2).at n=15A058184
- McKay-Thompson series of class 22B for Monster.at n=19A058568
- McKay-Thompson series of class 24C for Monster.at n=35A058573
- McKay-Thompson series of class 28C for Monster.at n=25A058608
- McKay-Thompson series of class 42B for Monster.at n=41A058672
- McKay-Thompson series of class 84a for Monster.at n=41A058761
- McKay-Thompson series of class 18D for the Monster group.at n=51A062242
- Alternating sum of primes: a(1) = A000040(1) = 2 and a(n) = a(n-1) + A000040(n)*(-1)^n for n > 1.at n=38A066033
- Expansion of (1-x)^(-1)/(1+x^2-2*x^3).at n=15A077887
- Expansion of 1/((1-x)*(1+x+x^2+2*x^3)).at n=19A077909
- Constant c(p) used in determining divisibility by the n-th prime, p=A000040(n), for n>=4.at n=59A078606