The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A108074

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Showing entries 1-10 | older changes

A108074

Triangle in A071944 with rows reversed.
(history; published version)

#13 by Bruno Berselli at Fri Jan 24 04:11:37 EST 2020

STATUS

proposed

approved

#12 by Michel Marcus at Fri Jan 24 00:22:01 EST 2020

STATUS

editing

proposed

#11 by Michel Marcus at Fri Jan 24 00:21:56 EST 2020

CROSSREFS

Cf. A071944, A071969.

STATUS

proposed

editing

#10 by Jon E. Schoenfield at Thu Jan 23 23:38:05 EST 2020

STATUS

editing

proposed

#9 by Jon E. Schoenfield at Thu Jan 23 23:38:02 EST 2020

COMMENTS

A convolution triangle of numbers based on A071969 . - Philippe Deléham, Sep 15 2005

FORMULA

T(0, 0) = 1; T(n, k) = 0 if k<0 or if k>n; T(n, k) = Sum_{j, j>=0} T(n-1, k-1+j) + Sum_{j, j>=0} T(n-1, k+2+j) . - Philippe Deléham, Sep 15 2005

EXAMPLE

1; 1,1; 2,2,1; 6,5,3,1; 19,16,9,4,1; ...

Triangle begins:

1;

1, 1;

2, 2, 1;

6, 5, 3, 1;

19, 16, 9, 4, 1; ...

STATUS

approved

editing

#8 by N. J. A. Sloane at Sun Sep 08 13:30:43 EDT 2013

COMMENTS

A convolution triangle of numbers based on A071969 . - _Philippe DELEHAM_, Deléham_, Sep 15 2005

FORMULA

T(0, 0) = 1; T(n, k) = 0 if k<0 or if k>n; T(n, k) = Sum_{j, j>=0} T(n-1, k-1+j) + Sum_{j, j>=0} T(n-1, k+2+j) . - _Philippe DELEHAM_, Deléham_, Sep 15 2005

EXTENSIONS

More terms from _Philippe DELEHAM_, Deléham_, Sep 15 2005

Discussion

Sun Sep 08

13:30

OEIS Server: https://oeis.org/edit/global/1938

#7 by Russ Cox at Sat Mar 31 10:27:51 EDT 2012

COMMENTS

A convolution triangle of numbers based on A071969 . - _Philippe DELEHAM (kolotoko(AT)wanadoo.fr), _, Sep 15 2005

FORMULA

T(0, 0) = 1; T(n, k) = 0 if k<0 or if k>n; T(n, k) = Sum_{j, j>=0} T(n-1, k-1+j) + Sum_{j, j>=0} T(n-1, k+2+j) . - _Philippe DELEHAM (kolotoko(AT)wanadoo.fr), _, Sep 15 2005

EXTENSIONS

More terms from _Philippe DELEHAM (kolotoko(AT)wanadoo.fr), _, Sep 15 2005

Discussion

Sat Mar 31

10:27

OEIS Server: https://oeis.org/edit/global/535

#6 by Russ Cox at Fri Mar 30 16:50:16 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com), _, Jun 05 2005

Discussion

Fri Mar 30

16:50

OEIS Server: https://oeis.org/edit/global/110

#5 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,tabl,easy,new

AUTHOR

N. J. A. Sloane (njas, (AT)research.att.com), Jun 05 2005

#4 by N. J. A. Sloane at Fri May 19 03:00:00 EDT 2006

COMMENTS

A convolution triangle of numbers based on A071969 . - Philippe DELEHAM (kolotoko(AT)lagoonwanadoo.ncfr), Sep 15 2005

FORMULA

T(0, 0) = 1; T(n, k) = 0 if k<0 or if k>n; T(n, k) = Sum_{j, j>=0} T(n-1, k-1+j) + Sum_{j, j>=0} T(n-1, k+2+j) . - Philippe DELEHAM (kolotoko(AT)lagoonwanadoo.ncfr), Sep 15 2005

KEYWORD

nonn,tabl,easy,new

EXTENSIONS

More terms from Philippe DELEHAM (kolotoko(AT)lagoonwanadoo.ncfr), Sep 15 2005