30113

Properties

Appears in sequences

• arcsinh(arcsin(arcsinh(x)))=x-1/3!*x^3+17/5!*x^5-449/7!*x^7+30113/9!*x^9...at n=4A012117
• Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 15.at n=21A031603
• Concatenate n with n-th prime.at n=29A045532
• Primes starting and ending with 3.at n=35A062333
• a(1) = 2; a(n+1) is the smallest prime > a(n) which differs from it in every digit.at n=33A068853
• Primes which are a concatenation of n and prime(n).at n=8A084667
• Primes p that divide Fibonacci[(p+1)/7].at n=36A125252
• Prime numbers that are the sum of three distinct positive fourth powers.at n=25A126657
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 1, 0), (1, -1, -1), (1, -1, 0)}.at n=11A148141
• Incorrect duplicate of A062343.at n=33A176254
• 1/20 of the number of (n+1) X 5 0..4 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease.at n=4A183714
• 1/20 of the number of (n+1) X 6 0..4 arrays with every 2X2 subblock strictly increasing clockwise or counterclockwise with one decrease.at n=3A183715
• T(n,k) = 1/20 of the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease.at n=31A183719
• T(n,k) = 1/20 of the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock strictly increasing clockwise or counterclockwise with one decrease.at n=32A183719
• Number of (w,x,y) with all terms in {0,...,n} and |w-x| + |x-y| > w+x+y.at n=31A213482
• Number of (n+1)X(n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction.at n=6A250604
• Number of (n+1) X (7+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction.at n=6A250610
• Primes p such that each decimal digit of p is equal to the difference of two other digits of p.at n=18A255892
• Primes p such that p plus the cube of sum of digits of p is a perfect square.at n=15A259418
• Primes having only {0, 1, 3} as digits.at n=43A260044