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.

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

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 * A340476 A176422 A156586

Adjacent sequences: A254439 A254440 A254441 * A254443 A254444 A254445

Keyword

nonn,look,tabf

Author

Md. Towhidul Islam, May 12 2015

Status

approved