The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A137597 Triangle read by rows: A008277 * A007318. 4
 1, 2, 1, 5, 5, 1, 15, 22, 9, 1, 52, 99, 61, 14, 1, 203, 471, 385, 135, 20, 1, 877, 2386, 2416, 1140, 260, 27, 1, 4140, 12867, 15470, 9156, 2835, 455, 35, 1, 21147, 73681, 102215, 72590, 28441, 6230, 742, 44, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Row sums = A035009 starting (1, 3, 11, 47, 227, ...). LINKS Michael De Vlieger, Table of n, a(n) for n = 1..11325 (rows n = 1..150, flattened) Zhanar Berikkyzy, Pamela E. Harris, Anna Pun, Catherine Yan, and Chenchen Zhao, Combinatorial Identities for Vacillating Tableaux, arXiv:2308.14183 [math.CO], 2023. See p. 16. FORMULA A008277 * A007318 as infinite lower triangular matrices. EXAMPLE First few rows of the triangle: 1; 2, 1; 5, 5, 1; 15, 22, 9, 1; 52, 99, 61, 14, 1; 203, 471, 385, 135, 20, 1; ... MAPLE T:= (n, k)-> add(Stirling2(n, j)*binomial(j-1, k-1), j=k..n): seq(seq(T(n, k), k=1..n), n=1..10); # Alois P. Heinz, Sep 03 2019 MATHEMATICA Table[Sum[StirlingS2[n, j]*Binomial[j - 1, k - 1], {j, k, n}], {n, 9}, {k, n}] // Flatten (* Michael De Vlieger, Aug 31 2023 *) CROSSREFS Cf. A035009, A008277. Cf. A126350. Sequence in context: A107842 A126216 A124733 * A059340 A248727 A270250 Adjacent sequences: A137594 A137595 A137596 * A137598 A137599 A137600 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Jan 29 2008 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 September 7 23:15 EDT 2024. Contains 375749 sequences. (Running on oeis4.)