The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A269954 Triangle read by rows, T(n,k) = Sum_{j=0..n} C(-j,-n)*S1(j,k), S1 the Stirling cycle numbers A132393, for n>=0 and 0<=k<=n. 1
 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 5, 3, 1, 0, 9, 20, 17, 6, 1, 0, 44, 109, 100, 45, 10, 1, 0, 265, 689, 694, 355, 100, 15, 1, 0, 1854, 5053, 5453, 3094, 1015, 196, 21, 1, 0, 14833, 42048, 48082, 29596, 10899, 2492, 350, 28, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,12 LINKS Peter Luschny, Extensions of the binomial EXAMPLE Triangle starts: 1, 0,   1, 0,   0,   1, 0,   1,   1,  1, 0,   2,   5,  3,    1, 0,   9,  20,  17,   6,   1, 0,  44, 109, 100,  45,  10,  1, 0, 265, 689, 694, 355, 100, 15, 1. MAPLE A269954 := (n, k) -> add(binomial(-j, -n)*abs(Stirling1(j, k)), j=0..n): seq(seq(A269954(n, k), k=0..n), n=0..9); MATHEMATICA Flatten[Table[Sum[Binomial[-j, -n] Abs[StirlingS1[j, k]], {j, 0, n}], {n, 0, 9}, {k, 0, n}]] CROSSREFS A000255 (row sums), A000166(col. 1), A000217 (diag. n,n-1), A133252 (diag. n,n-2). Sequence in context: A132898 A265318 A279536 * A326953 A234255 A062706 Adjacent sequences:  A269951 A269952 A269953 * A269955 A269956 A269957 KEYWORD nonn,tabl AUTHOR Peter Luschny, Apr 12 2016 STATUS approved

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

Last modified July 23 10:42 EDT 2021. Contains 346259 sequences. (Running on oeis4.)