The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A035023 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A035023

One ninth of 9-factorial numbers.
(history; published version)

#39 by Peter Luschny at Thu Oct 20 03:34:24 EDT 2022

STATUS

reviewed

approved

#38 by Michel Marcus at Thu Oct 20 00:27:34 EDT 2022

STATUS

proposed

reviewed

#37 by Jon E. Schoenfield at Wed Oct 19 23:21:38 EDT 2022

STATUS

editing

proposed

#36 by Jon E. Schoenfield at Wed Oct 19 23:21:36 EDT 2022

COMMENTS

E.g.f. is Gg.f. for A001019(n-1) (powers of nine).

STATUS

proposed

editing

#35 by G. C. Greubel at Wed Oct 19 21:47:15 EDT 2022

STATUS

editing

proposed

#34 by G. C. Greubel at Wed Oct 19 21:47:05 EDT 2022

LINKS

G. C. Greubel, <a href="/A035023/b035023.txt">Table of n, a(n) for n = 1..325</a>

FORMULA

9*a(n) = (9*n)(!^9) = Product_{j=1..n} 9*j = 9^n*n!;.

From G. C. Greubel, Oct 19 2022: (Start)

a(n) = A001019(n-1) * A000142(n). - G. C. Greubel, Oct 19 2022

MATHEMATICA

Table[9^(n-1)*n!, {n, 40}] (* G. C. Greubel, Oct 19 2022 *)

PROG

(Magma) [9^(n-1)*Factorial(n): n in [1..40]]; // G. C. Greubel, Oct 19 2022

(SageMath) [9^(n-1)*factorial(n) for n in range(1, 40)] # G. C. Greubel, Oct 19 2022

CROSSREFS

Cf. A000142, A007559, A001019, A034171, A045756, A035012, A035013, A035017, A035018, A035020, A035021, A035022.

Cf. A035017, A035018, A035020, A035021, A035022, A045756.

STATUS

approved

editing

#33 by Hugo Pfoertner at Sat Jan 08 08:55:27 EST 2022

STATUS

reviewed

approved

#32 by Joerg Arndt at Sat Jan 08 06:34:26 EST 2022

STATUS

proposed

reviewed

#31 by Joerg Arndt at Sat Jan 08 06:34:23 EST 2022

STATUS

editing

proposed

#30 by Joerg Arndt at Sat Jan 08 06:34:20 EST 2022

MATHEMATICA

s=1; lst={s}; Do[s+=n*s; AppendTo[lst, s], {n, 17, 3*5!, 9}]; lst (* Vladimir Joseph Stephan Orlovsky, Nov 08 2008 *)

STATUS

reviewed

editing