The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A167559 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A167559

The row sums of triangle A167557.
(history; published version)

#8 by Alois P. Heinz at Thu Jun 16 03:14:42 EDT 2016

STATUS

reviewed

approved

#7 by Joerg Arndt at Thu Jun 16 03:12:40 EDT 2016

STATUS

proposed

reviewed

#6 by Michel Marcus at Thu Jun 16 00:26:09 EDT 2016

STATUS

editing

proposed

#5 by Michel Marcus at Thu Jun 16 00:25:56 EDT 2016

FORMULA

a(n) = Sum_{m=1,..,n} (4^(m-1)*(m-1)!*(n+m-2)!/(2*m-2)!).

STATUS

proposed

editing

Discussion

Thu Jun 16

00:26

Michel Marcus: see stylesheet

#4 by G. C. Greubel at Wed Jun 15 13:54:15 EDT 2016

STATUS

editing

proposed

#3 by G. C. Greubel at Wed Jun 15 13:54:10 EDT 2016

NAME

The row sums of triangle A167557.

LINKS

G. C. Greubel, <a href="/A167559/b167559.txt">Table of n, a(n) for n = 1..150</a>

FORMULA

a(n) = sumSum_{m=1,..,n} (4^(m-1)*(m-1)!*(n+m-2)!/(2*m-2)!, m=1..n).

MATHEMATICA

Table[Sum[4^(m - 1) *(m - 1)! * (n + m - 2)!/(2*m - 2)!, {m, 1, n}], {n, 1, 10}] (* G. C. Greubel, Jun 15 2016 *)

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 18:59:45 EDT 2012

AUTHOR

_Johannes W. Meijer (meijgia(AT)hotmail.com), _, Nov 10 2009

Discussion

Fri Mar 30

18:59

OEIS Server: https://oeis.org/edit/global/295

#1 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

NAME

The row sums of triangle A167557

DATA

1, 5, 46, 598, 10056, 207960, 5111856, 145721520, 4728528000, 172134253440, 6948393580800, 308058678385920, 14882061698380800, 778136819786726400, 43783908789625804800, 2638014817853286144000, 169455373956672285081600

OFFSET

1,2

COMMENTS

Triangle A167557 is the lower left triangle of the ED1 array A167546.

FORMULA

a(n) = sum(4^(m-1)*(m-1)!*(n+m-2)!/(2*m-2)!, m=1..n)

CROSSREFS

A167546 is the ED1 array.

Equals row sums of triangle A167557.

KEYWORD

easy,nonn

AUTHOR

Johannes W. Meijer (meijgia(AT)hotmail.com), Nov 10 2009

STATUS

approved