0,2

F. M. van Lamoen, Square wreaths around hexagons, Forum Geometricorum, 6 (2006) 311-325.

F. M. van Lamoen, Article in Forum Geometricorum

Index entries for sequences related to Chebyshev polynomials.

Partial sums of Chebyshev sequence S(n,5)=U(n,5/2)=A004254(n).

For n>0 a(n-1)= sum{i=1..n}sum{j=1..i}b(n) with b(n) as in A004253.

a(n)=(2/3-sqrt(21)/7)(5/2-sqrt(21)/2)^n+(sqrt(21)/7+2/3)(sqrt(21)/2+5/2)^n-1/3; a(n)=sum{k=0..n, S(k, 5)}=sum{k=0..n, U(k, 5/2)} Chebyshev polynomials of 2nd kind, A049310

G.f.: 1/((1-x)*(1-5*x+x^2)) = 1/(1-6*x+6*x^2-x^3).

a(n)= 6*a(n-1)-6*a(n-2)+a(n-3), n>=2, a(-1):=0, a(0)=1, a(1)=6.

a(n)= sum(S(k, 5), k=0..n) with S(k, x)=U(k, x/2) Chebyshev's polynomials of the second kind.

a(n)= (S(n+1, 5)-S(n, 5) -1)/3, n>=0.

Cf. A061278, A053142.

Partial sums of A004254. Cf. A101368.

Adjacent sequences: A089814 A089815 A089816 this_sequence A089818 A089819 A089820

Sequence in context: A026899 A135160 A046945 this_sequence A006320 A079738 A127741

easy,nonn

Paul Barry (pbarry(AT)wit.ie), Nov 14 2003

Chebyshev comments from W. Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Aug 31 2004