The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A158948 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A158948

Triangle read by rows, left border = natural numbers repeated (1, 1, 2, 2, 3, 3, ...); all other columns = (1, 0, 1, 0, 1, 0, ...).
(history; published version)

#8 by Jon E. Schoenfield at Tue Feb 08 23:12:11 EST 2022

STATUS

proposed

approved

#7 by Jon E. Schoenfield at Tue Feb 08 23:11:56 EST 2022

STATUS

editing

proposed

#6 by Jon E. Schoenfield at Tue Feb 08 23:11:53 EST 2022

NAME

Triangle read by rows, left border = natural numbers repeated (1, 1, 2, 2, 3, 3, ...); all other columns = (1, 0, 1, 0, 1, 0, ...).

COMMENTS

Row sums = n. Eigensequence of the triangle = nonzero terms of A000071: (1, 2, 4, 7, 12, 20, ...) = ((F3 - 1), (F4 - 1), (F5 - 1), ...).

FORMULA

Triangle by rows, left border = natural numbers repeated (1, 1, 2, 2, 3, 3, ...); all other columns = (1, 0, 1, 0, 1, 0, ...).

EXAMPLE

First few rows of the triangle =:

1;

1, 1;

2, 0, 1;

2, 1, 0, 1;

3, 0, 1, 0, 1;

3, 1, 0, 1, 0, 1;

4, 0, 1, 0, 1, 0, 1;

4, 1, 0, 1, 0, 1, 0, 1;

5, 0, 1, 0, 1, 0, 1, 0, 1;

5, 1, 0, 1, 0, 1, 0, 1, 0, 1;

6, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1;

6, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1;

7, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1;

...

CROSSREFS

Cf. A000071.

STATUS

approved

editing

#5 by Charles R Greathouse IV at Thu Jan 24 03:10:24 EST 2013

STATUS

proposed

approved

#4 by Michel Marcus at Thu Jan 24 01:40:35 EST 2013

STATUS

editing

proposed

#3 by Michel Marcus at Thu Jan 24 01:40:29 EST 2013

FORMULA

riangle Triangle by rows, left border = natural numbers repeated (1, 1, 2, 2, 3, 3,...); all other columns = (1, 0, 1, 0, 1, 0,...).

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 17:25:34 EDT 2012

AUTHOR

_Gary W. Adamson (qntmpkt(AT)yahoo.com), _, Mar 31 2009

Discussion

Fri Mar 30

17:25

OEIS Server: https://oeis.org/edit/global/135

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

NAME

Triangle read by rows, left border = natural numbers repeated (1, 1, 2, 2, 3, 3,...); all other columns = (1, 0, 1, 0, 1, 0,...).

DATA

1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 3, 0, 1, 0, 1, 3, 1, 0, 1, 0, 1, 4, 0, 1, 0, 1, 0, 1, 4, 1, 0, 1, 0, 1, 0, 1, 5, 0, 1, 0, 1, 0, 1, 0, 1, 5, 1, 0, 1, 0, 1, 0, 1, 0, 1

OFFSET

1,4

COMMENTS

Row sums = n. Eigensequence of the triangle = nonzero terms of A000071: (1, 2, 4, 7, 12, 20,...) = ((F3 - 1), (F4 - 1), (F5 - 1),...)

FORMULA

riangle by rows, left border = natural numbers repeated (1, 1, 2, 2, 3, 3,...); all other columns = (1, 0, 1, 0, 1, 0,...).

EXAMPLE

First few rows of the triangle =

1;

1, 1;

2, 0, 1;

2, 1, 0, 1;

3, 0, 1, 0, 1;

3, 1, 0, 1, 0, 1;

4, 0, 1, 0, 1, 0, 1;

4, 1, 0, 1, 0, 1, 0, 1;

5, 0, 1, 0, 1, 0, 1, 0, 1;

5, 1, 0, 1, 0, 1, 0, 1, 0, 1;

6, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1;

6, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1;

7, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1;

...

CROSSREFS

A000071

KEYWORD

nonn,tabf

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 31 2009

STATUS

approved