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A055454 a(n) = A055450(n, n-4). 6

%I #11 Jan 30 2024 04:10:33

%S 1,5,14,28,42,174,735,3155,13726,60398,268361,1202425,5427110,

%T 24652698,112622124,517102008,2385026330,11045344150,51341255630,

%U 239447037890,1120163788030,5254987411850,24716226207075

%N a(n) = A055450(n, n-4).

%H G. C. Greubel, <a href="/A055454/b055454.txt">Table of n, a(n) for n = 4..500</a>

%F a(n) = A055450(n, n-4).

%F a(n) = 42*Hypergeometric2F1([8-n, 11/2], [7], -4) for n >= 8. - _G. C. Greubel_, Jan 30 2024

%t Join[{1,5,14,28}, Table[42*Hypergeometric2F1[8-n,11/2,7,-4], {n,8,40}]] (* _G. C. Greubel_, Jan 30 2024 *)

%o (Magma) [1,5,14,28] cat [Floor(42*HypergeometricSeries2F1(8-n,11/2,7,-4)): n in [8..40]]; // _G. C. Greubel_, Jan 30 2024

%o (SageMath)

%o def A055454(n): return (1,5,14,28)[n-4] if n<8 else 42*hypergeometric([8-n,11/2],[7],-4).simplify()

%o [A055454(n) for n in range(4,41)] # _G. C. Greubel_, Jan 30 2024

%Y Cf. A055450, A055451, A055452, A055453, A055455.

%K nonn

%O 4,2

%A _Clark Kimberling_, May 18 2000

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Last modified July 17 14:36 EDT 2024. Contains 374377 sequences. (Running on oeis4.)