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Revision History for A216207 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

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Matrix inverse of A181543 (cubes of entries of Pascal's triangle).
(history; published version)
#7 by R. J. Mathar at Wed Mar 13 04:57:29 EDT 2013
STATUS

proposed

approved

#6 by R. J. Mathar at Tue Mar 12 16:39:14 EDT 2013
STATUS

editing

proposed

#5 by R. J. Mathar at Tue Mar 12 16:38:57 EDT 2013
NAME

allocated for R. J. Mathar

Matrix inverse of A181543 (cubes of entries of Pascal's triangle).

DATA

1, -1, 1, 7, -8, 1, -163, 189, -27, 1, 8983, -10432, 1512, -64, 1, -966751, 1122875, -163000, 7000, -125, 1, 179781181, -208818216, 30317625, -1304000, 23625, -216, 1, -53090086057, 61664945083, -8953081011, 385146125, -6988625, 64827, -343, 1, 23402291822743, -27182124061184, 3946556485312, -169776943616, 3081169000, -28625408, 153664, -512, 1

OFFSET

0,4

COMMENTS

Is the leftmost column derived from A212856?

FORMULA

Sum_{j=k..n} A181543(n,j)*T(j,k) = delta(n,k).

EXAMPLE

1;

-1,1;

7,-8,1;

-163,189,-27,1;

8983,-10432,1512,-64,1;

-966751,1122875,-163000,7000,-125,1;

179781181,-208818216,30317625,-1304000,23625,-216,1;

CROSSREFS

Cf. A055133.

KEYWORD

allocated

sign,tabl

AUTHOR

R. J. Mathar, Mar 12 2013

STATUS

approved

editing

#4 by R. J. Mathar at Tue Mar 12 16:38:57 EDT 2013
NAME

allocated for R. J. Mathar

KEYWORD

recycled

allocated

#3 by R. J. Mathar at Thu Feb 28 13:21:39 EST 2013
STATUS

editing

approved

#2 by R. J. Mathar at Thu Feb 28 13:21:36 EST 2013
NAME

allocated for Vladimir Baltic

KEYWORD

allocated

recycled

STATUS

approved

editing

#1 by Vladimir Baltic at Mon Sep 03 12:24:55 EDT 2012
NAME

allocated for Vladimir Baltic

KEYWORD

allocated

STATUS

approved