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A254442 Triangle read by rows: T(n,k) is the total number of parts of denomination k used in all n-part feasible partitions described in A254296. 7
1, 4, 1, 1, 19, 7, 10, 3, 3, 2, 2, 1, 1, 201, 62, 124, 27, 37, 35, 42, 31, 35, 16, 16, 14, 14, 12, 12, 9, 9, 7, 7, 5, 5, 3, 3, 2, 2, 1, 1, 5020, 1271, 3551, 431, 719, 840, 1128, 851, 1051, 255, 303, 327, 369, 370, 408, 358, 387, 340, 366, 309, 330, 262, 280, 248, 264, 226, 238, 183, 183, 173, 173, 162, 162, 150, 150 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row n contains 3^(n-1) terms.

Sum of row n equals n*A254430(n).

LINKS

Md. Towhidul Islam, Table of n, a(n) for n = 1..364

Md Towhidul Islam & Md Shahidul Islam, Number of Partitions of an n-kilogram Stone into Minimum Number of Weights to Weigh All Integral Weights from 1 to n kg(s) on a Two-pan Balance, arXiv:1502.07730 [math.CO], 2015.

EXAMPLE

Triangle begins:

1;

4, 1, 1;

19, 7, 10, 3, 3, 2, 2, 1, 1;

201, 62, 124, 27, 37, 35, 42, 31, 35, 16, 16, 14, 14, 12, 12, 9, 9, 7, 7, 5, 5, 3, 3, 2, 2, 1, 1;

5020, 1271, 3551, 431, 719, 840, 1128, 851, 1051, 255, 303, 327, 369, 370, 408, 358, 387, 340, 366, 309, 330, 262, 280, 248, 264, 226, 238, 183, 183, 173, 173, 162, 162, 150, 150, 139, 139, 127, 127, 115, 115, 104, 104, 93, 93, 81, 81, 72, 72, 63, 63, 54, 54, 47, 47, 40, 40, 33, 33, 28, 28, 23, 23, 18, 18, 15, 15, 12, 12, 9, 9, 7, 7, 5, 5 ,3, 3, 2, 2, 1, 1;

CROSSREFS

Cf. A254296, A254431, A254432, A254433, A254435, A254436, A254437, A254438, A254439, A254440.

Sequence in context: A139167 A211709 A323849 * A176422 A156586 A181544

Adjacent sequences:  A254439 A254440 A254441 * A254443 A254444 A254445

KEYWORD

nonn,look,tabf

AUTHOR

Md. Towhidul Islam, May 12 2015

STATUS

approved

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Last modified May 25 02:01 EDT 2020. Contains 334581 sequences. (Running on oeis4.)