700128

Appears in sequences

• G.f.: 1/((1-x)*(1-x^2))^5.at n=20A038165
• Denominators of continued fraction convergents to sqrt(285).at n=11A041537
• Expansion of (1+10*x+5*x^2)/(1-x)^10.at n=10A059601
• a(n) = binomial(2*n,n)*(n+3)^2/(n+1).at n=9A119575
• Triangle, read by rows, T(n, k) = Sum_{j=0..k} (-1)^j*(n+k)!/((n-j)!*(k-j)!*j!).at n=35A176092
• Triangle T(n,k) = binomial(n,k)*binomial(n+k+1,n+1) read by rows, 0 <= k <= n.at n=52A178301
• a(n) = ADP(n) is the total number of aperiodic k-double-palindromes of n, where 2 <= k <= n.at n=29A181135
• Triangle where g.f. C = C(x,m) and related series S = S(x,m) and D = D(x,m) satisfy S = x*C*D, C = 1 + x*S*D, and D = 1 + m*x*S*C, as read by rows of coefficients T(n,k) of x^(2*n)*m^k in C(x,m) for n>=0, k=0..n.at n=73A278881
• Triangle where g.f. D = D(x,m) and related series S = S(x,m) and C = C(x,m) satisfy S = x*C*D, C = 1 + x*S*D, and D = 1 + m*x*S*C, as read by rows of coefficients T(n,k) of x^(2*n)*m^k in C(x,m) for n>=1, k=0..n.at n=70A278882
• Table of generalized de Bruijn's numbers (A006480) read by ascending antidiagonals.at n=22A361027
• Table of generalized de Bruijn's numbers (A006480) read by ascending antidiagonals.at n=27A361027
• a(n) = 2*(3*n)!/(n!*(n+1)!^2).at n=6A361028