18078

Appears in sequences

• a(n) = a(n-1) + a(n-8), with a(i) = 1 for i = 0..7.at n=51A005710
• Expansion of 1/(1 - x^8 - x^9 - ...).at n=59A017902
• McKay-Thompson series of class 12d for Monster.at n=28A058492
• McKay-Thompson series of class 24A for Monster.at n=28A058571
• Sum of the first n safe primes.at n=31A066869
• This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of triangular numbers. The p-th row (p>=1) contains a(i,p) for i=1 to 2*p-1, where a(i,p) satisfies Sum_{i=1..n} C(i+1,2)^p = 3 * C(n+2,3) * Sum_{i=1..2*p-1} a(i,p) * C(n-1,i-1)/(i+2).at n=20A087127
• a(n) = prime(n)*(prime(n+1) + 1).at n=31A123134
• Number of 3-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions.at n=34A187298
• Numbers n for which A222085(n)=A222085(n+1).at n=17A222088
• Values at middle points of each row of A233270: a(n) = A233270(A233268(n)).at n=18A234018
• Number of terms of A072873 less than or equal to 10^n.at n=39A267757
• Number of n-step walks on cubic lattice starting at (0,0,0), ending at (0,y,z), remaining in the first (nonnegative) octant and using steps (0,0,1), (0,1,0), (1,0,0), (-1,1,1), (1,-1,1), and (1,1,-1).at n=8A328296
• Number T(n,k) of n-step walks on cubic lattice starting at (0,0,0), ending at (x,y,z) with x=k, remaining in the first (nonnegative) octant and using steps (0,0,1), (0,1,0), (1,0,0), (-1,1,1), (1,-1,1), and (1,1,-1); triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=36A328297
• G.f. satisfies A(x) = 1 + x*A(x)^2 + x^2*A(x)^7.at n=7A364477
• G.f. A(x) satisfies A(x) = 1 / (1 - x * A(x^8)).at n=52A367800
• a(n) = Sum_{k=0..floor(3*n/8)} binomial(3*n-7*k,k).at n=17A392349