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A271496
Tenth moments of the Rudin-Shapiro polynomials.
3
1, 252, 4144, 187328, 5143296, 182336512, 5664518144, 185202884608, 5854499373056, 187705543360512, 5987197055401984, 191926028833128448, 6145480467693961216, 196854507263106220032, 6299857999165520871424, 201565743393381566906368, 6448321065980862740299776
OFFSET
0,2
REFERENCES
Shalosh B. Ekhad, Explicit Generating Functions, Asymptotics, and More for the First 10 Even Moments of the Rudin-Shapiro Polynomials, Preprint, 2016.
Doron Zeilberger, Personal Communication to N. J. A. Sloane, Apr 15 2016.
LINKS
Christophe Doche, Even moments of generalized Rudin-Shapiro polynomials, Mathematics of computation 74.252 (2005): 1923-1935.
Christophe Doche and Laurent Habsieger, Moments of the Rudin-Shapiro polynomials, Journal of Fourier Analysis and Applications 10.5 (2004): 497-505.
FORMULA
G.f.: -(369435906932736*t^11 -32160715112448*t^10 -2001454759936*t^9 -145223581696*t^8 -4454350848*t^7 +1392508928*t^6 -5865472*t^5 -4599808*t^4 +123648*t^3 +4768*t^2 -220*t -1) / (1+16*t) / (32*t-1) / (1443109011456*t^10 -135291469824*t^9 -6576668672*t^8 -528482304*t^7 -19922944*t^6 +5455872*t^5 -41984*t^4 -17664*t^3 +592*t^2 +16*t -1)
CROSSREFS
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 15 2016
STATUS
approved