The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A323716 a(n) = Product_{k=0..n} (3^k + 1). 4
 2, 8, 80, 2240, 183680, 44817920, 32717081600, 71584974540800, 469740602936729600, 9246374028206585446400, 545998386365598870609920000, 96722522147893108730806108160000, 51402410615320609490117059732766720000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS G. C. Greubel, Table of n, a(n) for n = 0..64 FORMULA a(n) ~ c * 3^(n*(n+1)/2), where c = A132323 = QPochhammer[-1, 1/3] = 3.12986803713402307587769821345767... MATHEMATICA Table[Product[3^k+1, {k, 0, n}], {n, 0, 12}] Table[QPochhammer[-1, 3, n+1], {n, 0, 12}] PROG (PARI) a(n) = prod(k=0, n, 3^k+1); \\ Michel Marcus, Jan 25 2019 (Magma) [(&*[3^j+1: j in [0..n]]): n in [0..20]]; // G. C. Greubel, Aug 30 2023 (SageMath) [product(3^j+1 for j in range(n+1)) for n in range(21)] # G. C. Greubel, Aug 30 2023 CROSSREFS Cf. A028361, A034472, A132323, A323715. Sequence in context: A134529 A289897 A134054 * A360806 A229865 A134086 Adjacent sequences: A323713 A323714 A323715 * A323717 A323718 A323719 KEYWORD nonn AUTHOR Vaclav Kotesovec, Jan 25 2019 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 25 13:47 EDT 2024. Contains 372788 sequences. (Running on oeis4.)