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Revision History for A225069

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Showing entries 1-10 | older changes

A225069

Least nonagonal (9-gonal) number that is the product of n nonagonal numbers greater than 1.
(history; published version)

#11 by Joerg Arndt at Sat Sep 21 07:29:59 EDT 2013

STATUS

proposed

approved

#10 by Lars Blomberg at Sat Sep 21 03:52:39 EDT 2013

STATUS

editing

proposed

#9 by Lars Blomberg at Sat Sep 21 03:07:15 EDT 2013

DATA

9, 265926, 9909504, 49999950, 96088021794, 65981385725760028123200, 34171875, 9833523682950, 189619679700, 1489258878162739200, 32051313254079000000000, 231538926078057635957250, 5980078350588060426240000

LINKS

Lars Blomberg, <a href="/A225069/a225069.txt">Table of n, a(n) with solutions for n=1..11</a>

EXAMPLE

a(4) = 49999950 28123200 = non(37802835) = non(3)^2) * non(6) * non(75) * non(1014).

a(5) = 96088021794 34171875 = non(1656923125) = non(2)^2 * non(4) * non(6) * non(2585)^3.

a(6) = 659813857257600 9833523682950 = non(137301951676180) = non(3) * non(4)^2 )^3 * non(96) * non(2055) * non(10358).

EXTENSIONS

Corrected a(4)-a(6) and added a(7)-a(11) by Lars Blomberg, Sep 21 2013

STATUS

approved

editing

#8 by T. D. Noe at Mon Sep 16 13:59:03 EDT 2013

STATUS

editing

approved

#7 by T. D. Noe at Mon Sep 16 13:58:59 EDT 2013

CROSSREFS

Cf. A001106 (9-gonal (or nonagonal) numbers).

STATUS

approved

editing

#6 by Charles R Greathouse IV at Sun Sep 15 00:48:38 EDT 2013

STATUS

proposed

approved

#5 by Jon E. Schoenfield at Sun Sep 15 00:41:12 EDT 2013

STATUS

editing

proposed

#4 by Jon E. Schoenfield at Sun Sep 15 00:41:09 EDT 2013

CROSSREFS

Cf. A001106 (9-gonal (or nonagonal ) numbers).

STATUS

approved

editing

#3 by T. D. Noe at Wed May 01 00:51:06 EDT 2013

STATUS

editing

approved

#2 by T. D. Noe at Wed May 01 00:48:34 EDT 2013

NAME

allocated for T. D. Noe

Least nonagonal (9-gonal) number that is the product of n nonagonal numbers greater than 1.

DATA

9, 265926, 9909504, 49999950, 96088021794, 659813857257600

OFFSET

1,1

EXAMPLE

Let non(n) = n*(7n-5)/2. Then

a(1) = 9 = non(2).

a(2) = 265926 = non(276) = non(4) * non(41).

a(3) = 9909504 = non(1683) = non(3) * non(4) * non(51).

a(4) = 49999950 = non(3780) = non(2) * non(6) * non(7) * non(10).

a(5) = 96088021794 = non(165692) = non(2)^2 * non(4) * non(6) * non(258).

a(6) = 659813857257600 = non(13730195) = non(3) * non(4)^2 * non(9) * non(20) * non(103).

CROSSREFS

Cf. A001106 (nonagonal numbers).

Cf. A212616, A212617, A225066-A225070 (3-, 5- to 10-gonal cases).

KEYWORD

allocated

nonn,more

AUTHOR

T. D. Noe, May 01 2013

STATUS

approved

editing