The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A098304 Member r=19 of the family of Chebyshev sequences S_r(n) defined in A092184. 1
 0, 1, 19, 324, 5491, 93025, 1575936, 26697889, 452288179, 7662201156, 129805131475, 2199025033921, 37253620445184, 631112522534209, 10691659262636371, 181127094942284100, 3068468954756193331 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Michael De Vlieger, Table of n, a(n) for n = 0..814 S. Barbero, U. Cerruti, and N. Murru, On polynomial solutions of the Diophantine equation (x + y - 1)^2 = wxy, Rendiconti Sem. Mat. Univ. Pol. Torino (2020) Vol. 78, No. 1, 5-12. Index entries for linear recurrences with constant coefficients, signature (18,-18,1). FORMULA a(n) = 2*(T(n, 17/2)-1)/15 with twice the Chebyshev's polynomials of the first kind evaluated at x=17/2: 2*T(n, 17/2)=A078367(n)= ((17+sqrt(285))^n + (17-sqrt(285))^n)/2^n. a(n) = 17*a(n-1) - a(n-2) + 2, n>=2, a(0)=0, a(1)=1. a(n) = 18*a(n-1) - 18*a(n-2) + a(n-3), n>=3, a(0)=0, a(1)=1, a(2)=19. G.f.: x*(1+x)/((1-x)*(1-17*x+x^2)) = x*(1+x)/(1-18*x+18*x^2-x^3) (from the Stephan link, see A092184). MATHEMATICA LinearRecurrence[{# - 1, -# + 1, 1}, {0, 1, #}, 17] &[19] (* Michael De Vlieger, Feb 23 2021 *) CROSSREFS Sequence in context: A027541 A143699 A015676 * A014900 A121324 A093973 Adjacent sequences: A098301 A098302 A098303 * A098305 A098306 A098307 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Oct 18 2004 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 5 15:27 EST 2022. Contains 358588 sequences. (Running on oeis4.)