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Revision History for A246252 (Underlined text is an addition; strikethrough text is a deletion.)

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A246252 Number of permutations of [n] with exactly seven occurrences of the consecutive step pattern up, down, down.
(history; published version)
#10 by Vaclav Kotesovec at Tue Aug 26 17:04:45 EDT 2014
STATUS

editing

approved

#9 by Vaclav Kotesovec at Tue Aug 26 16:52:11 EDT 2014
FORMULA

a(n) ~ c * (3*sqrt(3)/(2*Pi))^n * n! * n^7, where c = 0.0000001405593242634352116... . - _... = c0 * (c0-1)^7 / (3^7 * 7!), and c0 = (1 + exp(Pi/sqrt(3))) * sqrt(3) / (2*Pi). - _Vaclav Kotesovec_, Aug 26 2014

STATUS

approved

editing

#8 by Vaclav Kotesovec at Tue Aug 26 10:38:42 EDT 2014
STATUS

editing

approved

#7 by Vaclav Kotesovec at Tue Aug 26 10:38:37 EDT 2014
FORMULA

a(n) ~ c * (3*sqrt(3)/(2*Pi))^n * n! * n^7, where c = 0.000000140559324260000001405593242634352116... . - Vaclav Kotesovec, Aug 26 2014

STATUS

approved

editing

#6 by Vaclav Kotesovec at Tue Aug 26 05:47:52 EDT 2014
STATUS

editing

approved

#5 by Vaclav Kotesovec at Tue Aug 26 05:47:45 EDT 2014
FORMULA

a(n) ~ c * (3*sqrt(3)/(2*Pi))^n * n! * n^7, where c = 0.00000014055932426... . - Vaclav Kotesovec, Aug 26 2014

STATUS

approved

editing

#4 by Alois P. Heinz at Wed Aug 20 22:24:41 EDT 2014
STATUS

editing

approved

#3 by Alois P. Heinz at Wed Aug 20 22:24:36 EDT 2014
LINKS

Alois P. Heinz, <a href="/A246252/b246252.txt">Table of n, a(n) for n = 22..160</a>

#2 by Alois P. Heinz at Wed Aug 20 17:13:40 EDT 2014
NAME

allocated for Alois P. Heinz

Number of permutations of [n] with exactly seven occurrences of the consecutive step pattern up, down, down.

DATA

2172534146099019, 336291324862551606, 31816048233798681066, 2348418329934108057072, 149140942861163014893024, 8573289075750149662810032, 460018114299281721089786796, 23509721961960146267578379640, 1160583084129910496820714859320

OFFSET

22,1

CROSSREFS

Column k=7 of A242819.

KEYWORD

allocated

nonn

AUTHOR

Alois P. Heinz, Aug 20 2014

STATUS

approved

editing

#1 by Alois P. Heinz at Wed Aug 20 16:43:12 EDT 2014
NAME

allocated for Alois P. Heinz

KEYWORD

allocated

STATUS

approved

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Last modified August 30 02:56 EDT 2024. Contains 375521 sequences. (Running on oeis4.)