25153

Properties

Appears in sequences

• exp(sec(x)*arcsin(x))=1+x+1/2!*x^2+5/3!*x^3+17/4!*x^4+85/5!*x^5...at n=8A012782
• cosh(sec(x)*arcsin(x))=1+1/2!*x^2+17/4!*x^4+505/6!*x^6+25153/8!*x^8...at n=4A012792
• Pisot sequence L(8,9).at n=27A048590
• Irregular primes with irregularity index three.at n=35A060975
• Primes of the form sum 6d/(2 + mu(d)) for some k and all d dividing k.at n=36A069548
• Primes p such that the largest prime factor of p^5 + 1 is less than p.at n=8A102327
• Sums of p-th to the q-th prime where p and q are twin primes.at n=37A114379
• Prime numbers whose digit reversal is a powerful(1) number (A001694).at n=25A115685
• (A144325(n)^2 + A144313(n)^2 + A144315(n)^2) / 3.at n=1A144716
• Primes of the form (k^2+7)/11.at n=25A242930
• Expansion of (1 - 2*x - x^2)/(sqrt(1+x)*(1-3*x)^(3/2)*2*x) - 1/(2*x).at n=9A263841
• Numbers missing from A001033 despite satisfying the necessary congruence conditions (see comments).at n=37A274470
• Number of n X 3 0..1 arrays with no 1 equal to more than one of its king-move neighbors.at n=6A282642
• Number of nX7 0..1 arrays with no 1 equal to more than one of its king-move neighbors.at n=2A282646
• T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its king-move neighbors.at n=38A282647
• T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its king-move neighbors.at n=42A282647
• One of the four successive approximations up to 13^n for 13-adic integer 3^(1/4). This is the 11 (mod 13) case (except for n = 0).at n=4A324084
• One of the four successive approximations up to 13^n for 13-adic integer 3^(1/4). This is the 11 (mod 13) case (except for n = 0).at n=5A324084
• Fold a square sheet of paper alternately vertically to the left and horizontally downwards; after each fold, draw a line along each inward crease; after n folds, the resulting graph has a(n) regions.at n=18A342759
• a(n) is the first prime p such that the concatenations of n consecutive primes, starting with p, in both forward and backward directions, are prime.at n=29A384958