The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A008543

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A008543

Sextuple factorial numbers: Product_{k=0..n-1} (6*k + 5).
(history; published version)

#76 by Michael De Vlieger at Wed Feb 01 12:27:15 EST 2023

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reviewed

approved

#75 by Michel Marcus at Wed Feb 01 11:20:05 EST 2023

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proposed

reviewed

#74 by Jon E. Schoenfield at Tue Jan 31 23:50:46 EST 2023

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editing

proposed

#73 by Jon E. Schoenfield at Tue Jan 31 23:50:34 EST 2023

FORMULA

a(n) ~ 2^(1/2)*Pi^(1/2)*Gamma(5/6)^-1*n^(1/3)*6^n*e^-n*n^n*{(1 + (1/72)*n^-1 + ...}). - Joe Keane (jgk(AT)jgk.org), Nov 24 2001

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proposed

editing

#72 by Nikolaos Pantelidis at Tue Jan 31 08:42:51 EST 2023

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editing

proposed

#71 by Nikolaos Pantelidis at Tue Jan 31 08:42:39 EST 2023

MATHEMATICA

CoefficientList[Series[(1 - 6x)^(-5/6), {x, 0, 20}], x] Range[0, 20]! (* Nikolaos Pantelidis, Jan 31 2023 *)

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approved

editing

#70 by Peter Luschny at Sun Dec 18 07:08:41 EST 2022

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reviewed

approved

#69 by Joerg Arndt at Sun Dec 18 02:27:54 EST 2022

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proposed

reviewed

#68 by Amiram Eldar at Sun Dec 18 01:19:44 EST 2022

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editing

proposed

#67 by Amiram Eldar at Sun Dec 18 01:08:15 EST 2022

DATA

1, 5, 55, 935, 21505, 623645, 21827575, 894930575, 42061737025, 2229272062325, 131527051677175, 8549258359016375, 606997343490162625, 46738795448742522125, 3879320022245629336375, 345259481979861010937375, 32799650788086796039050625, 3312764729596766399944113125