201552

Appears in sequences

• n+8*C(n,2)+30*C(n,3)+62*C(n,4)+75*C(n,5)+30*C(n,6).at n=13A006550
• Convolution of A007054 (super ballot numbers) with A000984 (central binomial coefficients).at n=9A038665
• Partial sums of A051877.at n=14A050403
• a(n) = binomial(n+7, 7)*(n+4)/4.at n=12A053347
• Denominator of Sum_{i+j+k=n, i,j,k>=1} (i*j)/k.at n=21A076175
• Coefficients of polynomials P(n,x):=-2+P(n-1,x)^2, where P(0,x)=x-2.at n=31A158982
• Triangle T(n,i) whose n-th row gives the number of numbers in any prime(n)# consecutive numbers whose smallest prime factor is prime(n-i+1).at n=31A174909
• Number of 4-step self-avoiding walks on an n X n X n cube summed over all starting positions.at n=11A187165
• a(n) = rf(n, n+2)/(n+2)! - rf(n, n)/n!, rf the rising factorial A265609.at n=10A265610
• a(n) = (2+[n/2])*n!/((1+[n/2])*[n/2]!^2).at n=20A275329
• a(n) = (3*n + 4)*Pochhammer(n, 4) / 4!.at n=16A293475
• Triangle T(n,k) read by rows: T(n,k) = A005867(k-1)*A002110(n)/A002110(k).at n=32A293558
• Expansion of 1 / ((1 - x)^7*(1 + x)^4).at n=31A299336
• Irregular triangle read by rows: Coefficients of Schick's polynomials P(n, y^2), for n >= 1.at n=18A327923
• a(1) = 1 and for any n > 1, if A330647(n) divides a(n-1) then a(n) = a(n-1) / A330647(n), otherwise a(n) = a(n-1) * A330647(n).at n=17A330648
• a(n) is the number of smallest parts in the overpartitions of n.at n=26A335724