A271496 Tenth moments of the Rudin-Shapiro polynomials.

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

Table of n, a(n) for n=0..16.

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

Cf. A246036, A271494, A271495.

Sequence in context: A152466 A004535 A027815 * A218418 A184498 A169713

Adjacent sequences: A271493 A271494 A271495 * A271497 A271498 A271499

Keyword

nonn

Author

N. J. A. Sloane, Apr 15 2016

Status

approved