30618

Appears in sequences

• Triangle of coefficients in expansion of (1+3*x)^n.at n=50A013610
• Triangle T(n,k) read by rows, arising in enumeration of catafusenes.at n=64A024462
• a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 2. Also a(n) = 3^n*C(n-1), where C = A000108 (Catalan numbers).at n=5A025226
• Cube of lower triangular normalized binomial matrix.at n=49A027465
• Expansion of 1/(1-3*x)^5; 5-fold convolution of A000244 (powers of 3).at n=5A036217
• Triangle whose (i,j)-th entry is binomial(i,j)*3^(i-j)*6^j.at n=29A038224
• Triangle whose (i,j)-th entry is binomial(i,j)*6^(i-j)*3^j.at n=34A038257
• Next-to-last diagonal of A024462.at n=9A038765
• Expansion of generating function A_{QT}^(1)(4n;3).at n=4A059491
• a(n) = 2*(2^n-1)*3^(n-1).at n=6A060589
• Orbit size of each tree A080263(n) under Donaghey's "Map M" Catalan automorphism.at n=16A080272
• Orbit size of each tree A080263(n) under Donaghey's "Map M" Catalan automorphism.at n=17A080272
• Orbit size of each tree A080263(n) under Donaghey's "Map M" Catalan automorphism.at n=15A080272
• Orbit size of each tree A080263(n) under Donaghey's "Map M" Catalan automorphism.at n=18A080272
• a(n) = 3^(n-2)*n*(5*n+1)/2.at n=7A084900
• Partial sums of n 3-spaced triangular numbers beginning with t(2), e.g., a(2) = t(2) + t(5) = 3 + 15 = 18.at n=26A085789
• Number of meaningful differential operations of the n-th order on the space R^8.at n=15A090993
• a(n) = (0^n + 3^n*binomial(2*n,n))/2.at n=5A098401
• Expansion of (sqrt(1-12*x^2)+12*x^2+2*x-1)/(2*x*sqrt(1-12*x^2)).at n=11A103978
• a(n) = 3^5 * binomial(n+4, 5).at n=4A113335