The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 27 11:00 EDT 2024. Contains 372858 sequences. (Running on oeis4.)