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A182289 Triangle read by rows. Let p be one of the parts of size A135010(n,k) in one of the partitions of n and S(n,k) = sum of all preceding parts to p in the mentioned partition of n. So T(n,k) = 2*S(n,k) + A135010(n,k). 0
1, 3, 2, 5, 5, 3, 7, 7, 7, 6, 2, 4, 9, 9, 9, 9, 9, 8, 3, 5, 11, 11, 11, 11, 11, 11, 11, 10, 6, 2, 10, 4, 9, 3, 6, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 8, 3, 12, 5, 11, 4, 7, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 10, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Consider a physical model of the partitions of n in which each part p of size A135010(n,j) is represented by a right circular cylinder with radius j and height 2. T(n,k) is also the distance (or coordinate X) from the axis Y to the center of the base of cylinder of the part p in the structure of A135010.

LINKS

Table of n, a(n) for n=1..72.

EXAMPLE

Written as an irregular triangle the sequence begins:

1;

3,2;

5,5,3;

7,7,7,6,2,4;

9,9,9,9,9,8,3,5;

11,11,11,11,11,11,11,10,6,2,10,4,9,3,6;

13,13,13,13,13,13,13,13,13,13,13,12,8,3,12,5,11,4,7;

15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,14,10,6,2,14,10,4,14,9,3,14,6,13,5,10,4,8;

CROSSREFS

Row n starts with A000041(n-1) terms equal to A005408(n-1). Row n has length A138137(n). Right border gives A000027.

Cf. A135010.

Sequence in context: A167552 A094787 A132778 * A127738 A001598 A141297

Adjacent sequences:  A182286 A182287 A182288 * A182290 A182291 A182292

KEYWORD

nonn,tabf

AUTHOR

Omar E. Pol, Aug 14 2012

STATUS

approved

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Last modified January 27 09:09 EST 2020. Contains 331293 sequences. (Running on oeis4.)