25147

Properties

Appears in sequences

• A sum with next-to-central binomial coefficients of even order, Catalan related.at n=6A029760
• Primes whose consecutive digits differ by 3 or 4.at n=36A048415
• Prime lucky numbers k (from A031157) such that nextprime(k)=nextlucky(k).at n=32A057698
• An accelerator sequence for Catalan's constant.at n=16A094649
• Let M(n) be the n X n matrix m(i,j)=min(i,j) for 1<=i,j<=n then a(n) is the trace of M(n)^(-8).at n=3A114360
• Riordan array (1/sqrt(1-4*x), (1/sqrt(1-4*x)-1)/2).at n=38A116395
• Total number of two-element anti-chains over all ordered trees on n edges.at n=8A139262
• Infinite square array read by antidiagonals: a(q,n) is the coefficient of z^n in the series expansion of C(z)^q/(1-4z)^(3/2), where C(z) = (1-sqrt(1-4z))/(2z) is the Catalan function (q,n = 0,1,2,...).at n=42A143019
• Number of ways of placing kings with no more than 1 mutual attack on an n X n chessboard symmetric under horizontal reflection.at n=8A143871
• Primes congruent to 35 mod 73.at n=36A154628
• Primes that are the average of the members of emirp pairs.at n=21A178581
• Nonpalindromic primes that are the average of the members of emirp pairs.at n=13A178585
• Number of 6 X n binary arrays without the pattern 0 1 diagonally, vertically, antidiagonally or horizontally.at n=16A188557
• Number of peaks at height >= 2 in all dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights).at n=16A191309
• Unmatched value maps: number of nX3 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nX3 array.at n=6A219436
• T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nXk array.at n=42A219441
• Unmatched value maps: number of 7Xn binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 7Xn array.at n=2A219445
• a(1) = 2; a(n + 1) = smallest prime > a(n) such that a(n + 1) - a(n) is the product of 8 primes.at n=24A285693
• q-Expansion of wedge character chi^(2)(q).at n=21A288578
• Numerator of variance of n-th row of Pascal's triangle.at n=8A301278