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A255768 Triangle read by rows: T(n,k) = total number of parts in all partitions of n into k distinct parts. 3
1, 3, 4, 2, 7, 5, 6, 14, 12, 20, 3, 8, 39, 7, 15, 52, 19, 13, 74, 41, 18, 102, 68, 4, 12, 134, 120, 9, 28, 158, 189, 24, 14, 208, 283, 51, 24, 259, 390, 107, 24, 284, 582, 173, 5, 31, 361, 749, 311, 11, 18, 409, 1024, 485, 29, 39, 488, 1289, 767, 61 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 1 is sigma = A000203.

Column 2 is A216669.

Row sums give A006128.

Row n has length A003056(n) hence the first element of column k is in row A000217(n).

The first positive element in column k is k.

LINKS

Alois P. Heinz, Rows n = 1..500, flattened

FORMULA

T(n,1) = A000203(n).

EXAMPLE

Triangle begins:

   1;

   3;

   4,   2;

   7,   5;

   6,  14;

  12,  20,    3;

   8,  39,    7;

  15,  52,   19;

  13,  74,   41;

  18, 102,   68,    4;

  12, 134,  120,    9;

  28, 158,  189,   24;

  14, 208,  283,   51;

  24, 259,  390,  107;

  24, 284,  582,  173,   5;

  31, 361,  749,  311,  11;

  18, 409, 1024,  485,  29;

  39, 488, 1289,  767,  61;

  20, 538, 1699, 1114, 127;

  42, 634, 2092, 1624, 238;

  32, 678, 2642, 2291, 403, 6;

  ...

CROSSREFS

Cf. A000041, A000203, A000217, A006128, A003056, A116608, A216669, A255767.

Sequence in context: A046692 A205769 A166108 * A216221 A296431 A045901

Adjacent sequences:  A255765 A255766 A255767 * A255769 A255770 A255771

KEYWORD

nonn,tabf,look

AUTHOR

Omar E. Pol, May 21 2015

EXTENSIONS

a(27) and beyond from Alois P. Heinz, Jul 26 2015

STATUS

approved

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Last modified February 23 05:29 EST 2020. Contains 332159 sequences. (Running on oeis4.)