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A025176 a(n) = Jacobi P-Polynomial P_n(alpha=1, beta=1, x=sqrt(2)) multiplied by 2^(n/2+floor(n/2)) and divided by n+1. 1
1, 2, 9, 22, 114, 308, 1717, 4902, 28526, 84284, 504410, 1525500, 9311140, 28638504, 177367949, 552532742, 3460680278, 10888711788, 68810154286, 218247846932, 1389230689596, 4435391806552, 28403131135554 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..22.

Wikipedia, Jacobi polynomials

MAPLE

A025176 := proc(n)

    JacobiP(n, 1, 1, sqrt(2)) ;

    %*2^(n/2+floor(n/2))/(n+1) ;

    simplify(%) ;

end proc: # R. J. Mathar, Feb 05 2013

MATHEMATICA

Table[ 2^(n/2+Floor[ n/2 ])/(n+1)JacobiP[ n, 1, 1, Sqrt[ 2 ] ], {n, 0, 24} ]

CROSSREFS

Sequence in context: A026589 A319792 A091002 * A032315 A032224 A254710

Adjacent sequences:  A025173 A025174 A025175 * A025177 A025178 A025179

KEYWORD

nonn

AUTHOR

Wouter Meeussen

STATUS

approved

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Last modified November 21 11:54 EST 2018. Contains 317447 sequences. (Running on oeis4.)