-113

Appears in sequences

• arcsinh(sin(sinh(x)))=x-1/3!*x^3+1/5!*x^5-113/7!*x^7+4033/9!*x^9...at n=3A012031
• Solutions t to the equation s*prime(n) + t*prime(n+1) = 1 with |s| as small as possible.at n=48A045893
• Nearest integer to cosecant(n).at n=21A051422
• Numbers k such that 36*k^2 + 12*k + 5 is prime (sorted by absolute values with negatives before positives).at n=59A056907
• 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=67A057105
• Expansion of (1-x-x^N)/((1-x)(1-x^2)(1-x^3)...(1-x^N)) for N = 3.at n=38A060022
• Generalized sum of divisors function: second diagonal of A060184.at n=68A060185
• a(n) = mu(n)*prime(n).at n=29A062007
• A measure of how close the square root of 2 is to rational numbers.at n=51A068515
• A measure of how close the square root of 2 is to rational numbers.at n=25A068515
• Determinant of rank n matrix of 1..n^2 filled successively along antidiagonals.at n=14A069480
• a(n) = A077110(n) - n^2.at n=38A077111
• Expansion of (1-x)^(-1)/(1+2*x-2*x^2+2*x^3).at n=5A077919
• 4th differences of partition numbers A000041.at n=43A081094
• 4th differences of partition numbers A000041.at n=41A081094
• a(n) = 1/2 + (1-6*n)*(-1)^n/2.at n=38A084060
• Inverse Euler transform of A000960.at n=11A099066
• a(n) = -a(n-1) -a(n-2) -a(n-3) +a(n-4), a(0)=0, a(1)=1, a(2)=-1, a(3)=0.at n=22A100329
• G.f. satisfies: A(x) = 1/(1 + x*A(x^8)) and also the continued fraction: 1 + x*A(x^9) = [1; 1/x, 1/x^8, 1/x^64, 1/x^512, ..., 1/x^(8^(n-1)), ...].at n=42A101918
• Matrix inverse of triangle A101275 (number of Schröder paths).at n=15A102051