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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A177517 Triangle T(n,k) read by rows defined by recurrence T(n,1)=A000007(n-1) and T(n,k) = sum_{i=1..k-1} T(n-i,k-1) if k>1. 6
 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 3, 1, 0, 0, 0, 1, 5, 4, 1, 0, 0, 0, 0, 6, 9, 5, 1, 0, 0, 0, 0, 5, 15, 14, 6, 1, 0, 0, 0, 0, 3, 20, 29, 20, 7, 1, 0, 0, 0, 0, 1, 22, 49, 49, 27, 8, 1, 0, 0, 0, 0, 0, 20, 71, 98, 76, 35, 9, 1, 0, 0, 0, 0, 0, 15, 90, 169, 174, 111, 44, 10, 1, 0, 0, 0, 0, 0, 9, 101, 259, 343, 285, 155, 54, 11, 1, 0, 0, 0, 0, 0, 4, 101, 359, 602, 628, 440, 209, 65, 12, 1, 0, 0, 0, 0, 0, 1, 90, 455, 961, 1230, 1068, 649, 274, 77, 13, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,14 COMMENTS A008302 is the main entry for this triangle. Essentially A060701 which is equal to this table beginning from the second column. The recurrence formula is similar to the recurrence for A177978. LINKS Alois P. Heinz, Table of n, a(n) for n = 1..20301 FORMULA T(n,k) = A008302(k-2,n-k), n>=k>1. - R. J. Mathar, Dec 15 2010 EXAMPLE 1, 0,1, 0,0,1, 0,0,1,1, 0,0,0,2,1, 0,0,0,2,3,1, 0,0,0,1,5,4,1, 0,0,0,0,6,9,5,1, 0,0,0,0,5,15,14,6,1, 0,0,0,0,3,20,29,20,7,1, 0,0,0,0,1,22,49,49,27,8,1 MATHEMATICA Clear[t]; t[1, 1] = 1; t[n_, 1] = 0; t[n_, k_] := t[n, k] = If[n >= k, Sum[t[n - i, k - 1], {i, 1, k - 1}], 0]; Flatten[Table[t[n, k], {n, 12}, {k, n}]] (* Robert G. Wilson v, Jun 24 2011 *) (* Added the necessary If condition, Mats Granvik, Jan 23 2012 *) PROG (Excel cell formula, American) =if(column()=1, if(row()=1, 1, 0), if(row()>=column(), sum(indirect(address(row()-column()+1, column()-1, 4)&":"&address(row()-column()+column()-1, column()-1, 4), 4)), 0)) (Excel cell formula, European) =if(column()=1; if(row()=1; 1; 0); if(row()>=column(); sum(indirect(address(row()-column()+1; column()-1; 4)&":"&address(row()-column()+column()-1; column()-1; 4); 4)); 0)) CROSSREFS Cf. A008302, A060701, A177978, A175105. Column sums are A000142. Row sums are A008930. Sequence in context: A093323 A106278 A339829 * A227819 A064287 A196389 Adjacent sequences:  A177514 A177515 A177516 * A177518 A177519 A177520 KEYWORD nonn,tabl AUTHOR Mats Granvik, Roger L. Bagula, Dec 11 2010 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 23 08:14 EDT 2022. Contains 353961 sequences. (Running on oeis4.)