-97

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=57A000036
• 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=56A000036
• Expansion of e.g.f. cos(tan(x)) (even powers only).at n=3A003710
• sech(sec(x)*tanh(x))=1-1/2!*x^2+1/4!*x^4-97/6!*x^6+2945/8!*x^8...at n=3A012839
• Numerator of [x^(2n)] in the Taylor expansion cos(cosec(x)-cot(x))= 1-x^2/8 -7*x^4/384 -97*x^6/46080 -2063*x^8/10321920 -17803*x^10/1238630400 -....at n=3A013521
• Zeroth row of infinite Latin square heading to -oo.at n=41A019585
• Matrix 6th power of inverse partition triangle A038498.at n=45A050309
• Matrix 7th power of inverse partition triangle A038498.at n=45A050310
• Exponential reversion of rooted trees A000081.at n=6A050396
• Coefficients of the '10th-order' mock theta function chi(q).at n=56A053284
• Smallest (in magnitude) nonzero number m such that n!+m is prime.at n=69A053714
• Hankel transform of Moebius function A008683.at n=8A056227
• 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=26A058030
• Apply inverse of "INVERT" transform to primes with prime exponents.at n=20A058315
• Difference between the sum of the odd aliquot divisors of n and the sum of the even aliquot divisors of n.at n=71A058344
• McKay-Thompson series of class 15B for Monster.at n=20A058509
• a(n) = n*p(n+1)-(n+1)*p(n) = n*d(n)-p(n), where p(n) is the n-th prime and d(n) is the n-th prime-difference, A001223(n).at n=40A062357
• Determinant of the n X n matrix m(i,j)=binomial(max(i,j),min(i,j)).at n=3A079689
• p[n_, k_]=Product[(E/(2-E))^i, {i, 1, n}]/Product[(E/(2-E))^i, {i, Floor[n/2^k], n}], a(n) = Sum[Floor[p[n, k]/(8*p[n-1, k])], {k, 1, 8}].at n=10A088663
• Partial sums of Mertens's function (A002321).at n=51A091555