The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A239101

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A239101

Riordan array read by rows, corresponding to array in A180562.
(history; published version)

#20 by Joerg Arndt at Mon Sep 15 04:04:06 EDT 2014

STATUS

reviewed

approved

#19 by Michel Marcus at Mon Sep 15 01:18:02 EDT 2014

STATUS

proposed

reviewed

#18 by Wesley Ivan Hurt at Sun Sep 14 23:38:05 EDT 2014

STATUS

editing

proposed

#17 by Wesley Ivan Hurt at Sun Sep 14 23:37:50 EDT 2014

EXAMPLE

Production matrix is:

STATUS

proposed

editing

#16 by Philippe Deléham at Sun Sep 14 22:54:42 EDT 2014

STATUS

editing

proposed

#15 by Philippe Deléham at Sun Sep 14 22:54:29 EDT 2014

EXAMPLE

Production matrix is

2, 1

0, 0, 1

2, 1, 0, 1

2, 1, 1, 0, 1

2, 1, 1, 1, 0, 1

2, 1, 1, 1, 1, 0, 1

2, 1, 1, 1, 1, 1, 0, 1

2, 1, 1, 1, 1, 1, 1, 0, 1

... Philippe Deléham, Sep 15 2014

STATUS

approved

editing

#14 by Bruno Berselli at Wed Mar 26 11:05:11 EDT 2014

STATUS

reviewed

approved

#13 by Joerg Arndt at Wed Mar 26 11:02:07 EDT 2014

STATUS

proposed

reviewed

#12 by Philippe Deléham at Tue Mar 25 20:25:19 EDT 2014

STATUS

editing

proposed

#11 by Philippe Deléham at Tue Mar 25 20:25:10 EDT 2014

DATA

1, 2, 1, 4, 2, 1, 10, 5, 2, 1, 26, 13, 6, 2, 1, 70, 35, 16, 7, 2, 1, 192, 96, 45, 19, 8, 2, 1, 534, 267, 126, 56, 22, 9, 2, 1, 1500, 750, 357, 160, 68, 25, 10, 2, 1, 4246, 2123, 1016, 463, 198, 81, 28, 11, 2, 1, 12092, 6046, 2907, 1337, 586, 240, 95, 31

COMMENTS

Row sums are in A225034. - Philippe Deléham, Mar 25 2014

Riordan array (f(x), (f(x)-1)/(2*f(x))) where f(x) = sqrt((1+x)/(1-3*x)). - Philippe Deléham, Mar 25 2014

FORMULA

T(0,0) = 1, T(n,0) = 2*T(n,1) for n>0, T(n,k) = T(n-1,k-1) - T(n-1,k) + T(n-1,k+1) + T(n,k+1) for k>0, T(n,k) = 0 if k<0 or if k>n. - Philippe Deléham, Mar 25 2014

EXAMPLE

192 = 2*96, 96 = 70 - 35 + 16 + 45, 45 = 35 - 16 + 7 + 19, etc. - Philippe Deléham, Mar 25 2014

CROSSREFS

Cf. T(n,0) = A025565(n+1), T(n+1,1) = A005773(n+1), T(n+2,2) = A005717(n+1), A225034 (Row sums). - Philippe Deléham, Mar 25 2014

EXTENSIONS

More terms from Philippe Deléham, Mar 25 2014

STATUS

approved

editing