A186231 - OEIS

A186231

Expansion of ( 2F1([-1/4, 1/4]; [-1/2], 16*x) - 1 ) / (2*x).

1, 15, 210, 3003, 43758, 646646, 9657700, 145422675, 2203961430, 33578000610, 513791607420, 7890371113950, 121548660036300, 1877405874732108, 29065024282889672, 450883717216034179, 7007092303604022630, 109069992321755544170, 1700179760011004467468, 26536589497469056215210, 414670662257153823494820

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OFFSET

0,2

COMMENTS

Combinatorial interpretation welcome.

Probably a class of paths (Cf. A135404, A000888).

Number of North-East lattice paths from (0,0) to (n,n+1). - Michael D. Weiner, Apr 14 2017

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

FORMULA

a(n) = A001791(2n+1). - R. J. Mathar, Jul 10 2012

D-finite with recurrence -(n+1)*(2*n-1)*a(n) +2*(4*n-1)*(4*n+1)*a(n-1)=0. - R. J. Mathar, Apr 26 2017