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A027913 T(n,[ n/2 ]), T given by A027907. 3
1, 1, 2, 3, 10, 15, 50, 77, 266, 414, 1452, 2277, 8074, 12727, 45474, 71955, 258570, 410346, 1481108, 2355962, 8533660, 13599915, 49402850, 78855339, 287134346, 458917850, 1674425300, 2679183405, 9792273690, 15683407785 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Robert Israel, Table of n, a(n) for n = 0..2550

FORMULA

a(n) = GegenbauerC(floor(n/2), -n, -1/2). - Emanuele Munarini, Oct 18 2016

G.f.: g(t) = (1+(t+t^2)*A(t^2)+t^4*A(t^2)^2)/(1-t^2*A(t^2)-3*t^4*A(t^2)^2), where A(t) is the g.f. of A143927 and satisfies A(t) = [1 + x*A(t) + t^2*A(t)^2]^2. - Emanuele Munarini, Oct 20 2016

MAPLE

seq(simplify(GegenbauerC(floor(n/2), -n, -1/2)), n=0..100); # Robert Israel, Oct 20 2016

MATHEMATICA

Table[GegenbauerC[Floor[n/2], -n, -1/2] + KroneckerDelta[n, 0], {n, 0,

100}] (* Emanuele Munarini, Oct 20 2016 *)

PROG

(Maxima) makelist(ultraspherical(floor(n/2), -n, -1/2), n, 0, 12); /* Emanuele Munarini, Oct 18 2016 */

CROSSREFS

Cf. A027907, A027908.

Sequence in context: A187767 A226881 A026336 * A081204 A293308 A106672

Adjacent sequences:  A027910 A027911 A027912 * A027914 A027915 A027916

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified November 14 03:52 EST 2018. Contains 317159 sequences. (Running on oeis4.)