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 A299845 a(n) = hypergeom([-n, n - 1], [1], -4). 3
 1, 1, 25, 425, 7025, 116625, 1951625, 32903225, 558265825, 9522632225, 163160773625, 2806202183625, 48420275891025, 837813745045425, 14531896733426025, 252593595973313625, 4398859688478578625, 76733590756134492225, 1340547988367851940825, 23451231922182584693225 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Robert Israel, Table of n, a(n) for n = 0..798 FORMULA 4*n*(n-2)^2*a(n)+4*(n-1)^2*(n-3)*a(n-2)-4*(2*n-3)*(9*n^2-27*n+17)*a(n-1)=0. - Robert Israel, Mar 21 2018 a(n) ~ 2^(-3/2) * 5^(3/4) * phi^(6*n - 3) / sqrt(Pi*n), where phi = A001622 = (1 + sqrt(5))/2 is the golden ratio. - Vaclav Kotesovec, Jul 05 2018 MAPLE f:= gfun:-rectoproc({4*n*(n-2)^2*a(n)+4*(n-1)^2*(n-3)*a(n-2)-4*(2*n-3)*(9*n^2-27*n+17)*a(n-1)=0, a(0)=1, a(1)=1, a(2)=25}, a(n), remember): map(f, [\$0..100]); # Robert Israel, Mar 21 2018 MATHEMATICA a[n_] := Hypergeometric2F1[-n, n - 1, 1, -4]; Table[a[n], {n, 0, 19}] CROSSREFS Cf. A299506, A243946, A084769, A243947. Cf. A300945, A300946. Sequence in context: A020593 A025951 A021944 * A020499 A226712 A020577 Adjacent sequences: A299842 A299843 A299844 * A299846 A299847 A299848 KEYWORD nonn AUTHOR Peter Luschny, Mar 16 2018 STATUS approved

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Last modified March 21 23:08 EDT 2023. Contains 361412 sequences. (Running on oeis4.)