-95
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=54A000036
- Numerators of coefficients in Taylor series expansion of log(1+x)^2/sqrt(1+x).at n=4A002551
- Expansion of e.g.f. exp( x * exp(-x) ).at n=6A003725
- Power series expansion of the Rogers-Ramanujan continued fraction 1+x/(1+x^2/(1+x^3/(1+x^4/(1+...)))).at n=72A003823
- From fundamental unit of Z[ (-d)^{1/4} ], where d runs over positive integers not of the form 4*k^4.at n=22A006828
- Numerator of the coefficient [x^(2n+1)] of the Taylor series arcsinh(cosec(x) - coth(x)).at n=2A013543
- Low temperature series for spin-1/2 Ising partition function on 5D simple cubic lattice.at n=14A030047
- Shifts left under Weigh transform.at n=26A038073
- Shifts left and changes sign under Weigh transform.at n=13A038074
- Column 1 of Inverse partition triangle A038498.at n=51A039800
- Solutions t to the equation s*prime(n) + t*prime(n+1) = 1 with |s| as small as possible.at n=42A045893
- Matrix 10th power of inverse partition triangle A038498.at n=23A050313
- 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=57A051793
- 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=52A051793
- Consider real quadratic fields of ERD-type with class groups of exponent 2 and discriminants of the form D = r^2*k^2+4k, k odd; sequence gives values of k.at n=55A051998
- Coefficients of the '6th-order' mock theta function phi(q).at n=35A053268
- a(n) = Sum_{d|2n+1} phi(d)*mu(d).at n=48A054586
- n - reversal of base 20 digits of n (written in base 10).at n=68A055967
- n - reversal of base 20 digits of n (written in base 10).at n=47A055967
- n - reversal of base 20 digits of n (written in base 10).at n=26A055967