The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A363871

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A363871

a(n) = A108625(2*n, 3*n).
(history; published version)

#17 by Michael De Vlieger at Mon Feb 26 09:14:11 EST 2024

STATUS

reviewed

approved

#16 by Michel Marcus at Mon Feb 26 08:44:31 EST 2024

STATUS

proposed

reviewed

#15 by Peter Bala at Mon Feb 26 08:35:40 EST 2024

STATUS

editing

proposed

#14 by Peter Bala at Mon Feb 26 07:49:20 EST 2024

FORMULA

a(n) = Sum_{k = 0..2*n} binomial(2*n, k) * binomial(3*n, k) * binomial(2*n+k, k). - Peter Bala, Feb 26 2024

STATUS

approved

editing

#13 by Vaclav Kotesovec at Sat Feb 17 05:04:34 EST 2024

STATUS

editing

approved

#12 by Vaclav Kotesovec at Sat Feb 17 05:04:31 EST 2024

FORMULA

a(n) ~ sqrt(1700 + 530*sqrt(10)) * (98729 + 31220*sqrt(10))^n / (120 * Pi * n * 3^(6*n)). - Vaclav Kotesovec, Feb 17 2024

STATUS

approved

editing

#11 by OEIS Server at Fri Oct 06 11:05:03 EDT 2023

LINKS

G. C. Greubel, <a href="/A363871/b363871_1.txt">Table of n, a(n) for n = 0..400</a>

#10 by N. J. A. Sloane at Fri Oct 06 11:05:03 EDT 2023

STATUS

proposed

approved

Discussion

Fri Oct 06

11:05

OEIS Server: Installed first b-file as b363871.txt.

#9 by G. C. Greubel at Thu Oct 05 21:47:04 EDT 2023

STATUS

editing

proposed

#8 by G. C. Greubel at Thu Oct 05 21:46:58 EDT 2023

LINKS

G. C. Greubel, <a href="/A363871/b363871_1.txt">Table of n, a(n) for n = 0..400</a>

FORMULA

a(n) = hypergeomhypergeometric3F2( [-2*n, -3*n, 2*n+1], [1, 1], 1).

MATHEMATICA

Table[HypergeometricPFQ[{-2*n, -3*n, 2*n+1}, {1, 1}, 1], {n, 0, 30}] (* G. C. Greubel, Oct 05 2023 *)

PROG

(Magma)

A363871:= func< n | (&+[Binomial(2*n, j)^2*Binomial(5*n-j, 2*n): j in [0..2*n]]) >;

[A363871(n): n in [0..30]]; // G. C. Greubel, Oct 05 2023

(SageMath)

def A363871(n): return sum(binomial(2*n, j)^2*binomial(5*n-j, 2*n) for j in range(2*n+1))

[A363871(n) for n in range(31)] # G. C. Greubel, Oct 05 2023

STATUS

approved

editing