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A144706 Central coefficients of Pascal-like triangle A132047. 7
1, 6, 18, 60, 210, 756, 2772, 10296, 38610, 145860, 554268, 2116296, 8112468, 31201800, 120349800, 465352560, 1803241170, 7000818660, 27225405900, 106035791400, 413539586460, 1614773623320 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Hankel transform is A144708.

LINKS

Table of n, a(n) for n=0..21.

FORMULA

G.f.: 3/sqrt(1-4x)-2; a(n)=3*C(2n,n)-2*0^n;

a(n)=Sum_{k, 0<=k<=n} A039599(n,k)*A010686(k)=Sum_{k, 0<=k<=} A106566(n,k)*A082505(k+1). [From Philippe Deléham, Oct 30 2008]

n*a(n) +2*(-2*n+1)*a(n-1)=0. - R. J. Mathar, Nov 30 2012

CROSSREFS

Sequence in context: A119106 A223468 A223211 * A074427 A034751 A200151

Adjacent sequences:  A144703 A144704 A144705 * A144707 A144708 A144709

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Sep 19 2008

STATUS

approved

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Last modified February 23 07:06 EST 2018. Contains 299473 sequences. (Running on oeis4.)