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A207383 Triangle read by rows: T(n,k) = sum of parts of size k in the last section of the set of partitions of n. 8
1, 1, 2, 2, 0, 3, 3, 4, 0, 4, 5, 2, 3, 0, 5, 7, 8, 6, 4, 0, 6, 11, 6, 6, 4, 5, 0, 7, 15, 16, 9, 12, 5, 6, 0, 8, 22, 14, 18, 8, 10, 6, 7, 0, 9, 30, 30, 18, 20, 15, 12, 7, 8, 0, 10, 42, 30, 30, 20, 20, 12, 14, 8, 9, 0, 11, 56, 54, 42, 40, 25, 30, 14, 16, 9, 10, 0, 12 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

For further properties of this triangle see A182703.

LINKS

Alois P. Heinz, Rows n = 1..141, flattened

FORMULA

T(n,k) = k*A182703(n,k).

EXAMPLE

Triangle begins:

   1;

   1,  2;

   2,  0,  3;

   3,  4,  0,  4;

   5,  2,  3,  0,  5;

   7,  8,  6,  4,  0,  6;

  11,  6,  6,  4,  5,  0,  7;

  15, 16,  9, 12,  5,  6,  0,  8;

  22, 14, 18,  8, 10,  6,  7,  0,  9;

  30, 30, 18, 20, 15, 12,  7,  8,  0, 10;

  42, 30, 30, 20, 20, 12, 14,  8,  9,  0, 11;

  56, 54, 42, 40, 25, 30, 14, 16,  9, 10,  0, 12;

CROSSREFS

Column 1 is A000041. Right border is A000027. Row sums give A138879.

Cf. A066186, A135010, A138121, A138785, A138880, A182703, A194812.

Sequence in context: A259016 A216504 A216673 * A191362 A137422 A139139

Adjacent sequences:  A207380 A207381 A207382 * A207384 A207385 A207386

KEYWORD

nonn,tabl

AUTHOR

Omar E. Pol, Feb 24 2012

STATUS

approved

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Last modified October 22 17:29 EDT 2019. Contains 328319 sequences. (Running on oeis4.)