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A152204 Triangle read by rows: T(n,k) = 2*n-4*k+5 (n >= 0, 1 <= k <= 1+floor(n/2)). 6
1, 3, 5, 1, 7, 3, 9, 5, 1, 11, 7, 3, 13, 9, 5, 1, 15, 11, 7, 3, 17, 13, 9, 5, 1, 19, 15, 11, 7, 3, 21, 17, 13, 9, 5, 1, 23, 19, 15, 11, 7, 3, 25, 21, 17, 13, 9, 5, 1, 27, 23, 19, 15, 11, 7, 3, 29, 25, 21, 17, 13, 9, 5, 1, 31, 27, 23, 19, 15, 11, 7, 3, 33 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

All terms are odd, decreasing across rows. Row sums = A000217, the triangular numbers.

From Johannes W. Meijer, Sep 08 2013: (Start)

Triangle read by rows formed from the antidiagonals of triangle A099375.

The alternating row sums equal A098181(n). (End)

LINKS

Nathaniel Johnston, Rows n = 0..200 of irregular triangle, flattened

FORMULA

By columns, odd terms in every column, n-th column starts at row (2*n).

From Johannes W. Meijer, Sep 08 2013: (Start)

T(n, k) = A099375(n-k+1, k-1), n >= 0 and 1 <= k <= 1+floor(n/2)).

T(n, k) = A158405(n+1, n-2*k+2). (End)

EXAMPLE

First few rows of the triangle =

1

3

5  1

7  3

9  5  1

11 7  3

13 9  5  1

15 11 7  3

17 13 9  5 1

19 15 11 7 3

21 17 13 9 5 1

...

MAPLE

T := proc(n, k) return 2*n-4*k+5: end: seq(seq(T(n, k), k=1..1+floor(n/2)), n=0..20); # Nathaniel Johnston, May 01 2011

CROSSREFS

Cf. A000217.

Sequence in context: A320051 A158858 A202356 * A114216 A208509 A086233

Adjacent sequences:  A152201 A152202 A152203 * A152205 A152206 A152207

KEYWORD

nonn,tabf,easy

AUTHOR

Gary W. Adamson, Nov 29 2008

EXTENSIONS

Edited by N. J. A. Sloane, Sep 25 2010, following a suggestion from Emeric Deutsch

Offset corrected by Johannes W. Meijer, Sep 07 2013

STATUS

approved

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Last modified October 18 07:58 EDT 2018. Contains 316307 sequences. (Running on oeis4.)