The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A140733 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A140733

Triangle read by rows, X^n * [1,0,0,0,...]; where X = a tridiagonal matrix with (1,1,1,...) in the main and subdiagonals and (1,2,3,...) in the subsubdiagonal.
(history; published version)

#4 by R. J. Mathar at Sun Mar 03 13:49:19 EST 2013

STATUS

editing

approved

#3 by R. J. Mathar at Sun Mar 03 13:49:12 EST 2013

AUTHOR

_Gary W. Adamson _ & _Roger L. Bagula (qntmpkt(AT)yahoo.com), _, May 25 2008

STATUS

approved

editing

#2 by N. J. A. Sloane at Fri Jan 09 03:00:00 EST 2009

NAME

Triangle read by rows, X^n * [1,0,0,0,...]; where X = a tridiagonal matrix with (1,1,1,...) in the main and subdiagonals and (1,2,3,...) in the subsubdiagonal.

KEYWORD

nonn,tabl,new

#1 by N. J. A. Sloane at Sun Jun 29 03:00:00 EDT 2008

NAME

Triangle by rows, X^n * [1,0,0,0,...]; where X = a tridiagonal matrix with (1,1,1,...) in the main and subdiagonals and (1,2,3,...) in the subsubdiagonal.

DATA

1, 1, 1, 1, 1, 2, 3, 3, 3, 1, 3, 6, 10, 15, 15, 15, 1, 4, 10, 22, 43, 70, 105, 105, 105, 1, 5, 15, 40, 95, 201, 390, 630, 945, 945, 945, 1, 6, 21, 65, 180, 456, 1066, 2226, 4305, 6930, 10395, 10395, 10395, 1, 7, 28, 98, 308, 896, 2422, 6028, 13993, 29043, 56070, 90090

OFFSET

1,6

COMMENTS

Rightmost terms of each row form A001147: (1, 1, 3, 15, 105, 945,...).

EXAMPLE

First few rows of the triangle are:

1;

1, 1, 1;

1, 2, 3, 3, 3;

1, 3, 6, 10, 15, 15, 15;

1, 4, 10, 22, 43, 70, 105, 105, 105;

1, 5, 15, 40, 95, 201, 390, 630, 945, 945, 945;

1, 6, 21, 65, 180, 456, 1066, 2226, 4305, 6930, 10395, 10395, 10395;

...

CROSSREFS

Cf. A140734, A140735, A001147.

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson & Roger L. Bagula (qntmpkt(AT)yahoo.com), May 25 2008

STATUS

approved