0,2

Bisection of A048654. - Lambert Klasen (lambert.klasen(AT)gmx.de), Nov 24 2004

A Pellian-related sequence.

a(n)={9*([3+2*sqrt(2)]^n -[3-2*sqrt(2)]^n)-([3+2*sqrt(2)]^(n-1) - [3-2*sqrt(2)]^(n-1))}/(4*sqrt(2)).

A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 122-125, 194-196.

M. J. DeLeon, Pell's Equation and Pell Number Triples, Fib. Quart., 14(1976), pp. 456-460.

Index entries for sequences related to linear recurrences with constant coefficients

Tanya Khovanova, Recursive Sequences

A038761 = sqrt{2*(A038762)^2-14}/2.

For n>1, a(n)-4a(n-1)=A001541(n)-A001542(n-2); e.g. 309-4*53=97=99-2 - Charlie Marion (charliem(AT)bestweb.net), Nov 12 2003

For n>0, a(n)=A046090(n)+A001653(n)+A001652(n-1)=A055997(n+1)+A001652(n-1); e.g., 309=120+169+20 - Charlie Marion (charliemath(AT)optonline.net), Oct 11 2006

G.f.: (1+3*x)/(1-6*x+x^2). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 03 2008]

a(n)=third binomial transform of 1,6,8,48,64,384 [From Al Hakanson (hawkuu(AT)gmail.com), Aug 15 2009]

a[0]:=1: a[1]:=9: for n from 2 to 26 do a[n]:=6*a[n-1]-a[n-2] od: seq(a[n], n=0..19); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jul 26 2006

Cf. A038762.

Sequence in context: A055854 A122588 A005025 this_sequence A003698 A001688 A144040

Adjacent sequences: A038758 A038759 A038760 this_sequence A038762 A038763 A038764

easy,nonn

Barry E. Williams, May 02 2000

More terms from James A. Sellers (sellersj(AT)math.psu.edu), May 04 2000