This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A055252 Triangle of partial row sums (prs) of triangle A055249. 11
 1, 4, 1, 13, 5, 1, 38, 18, 6, 1, 104, 56, 24, 7, 1, 272, 160, 80, 31, 8, 1, 688, 432, 240, 111, 39, 9, 1, 1696, 1120, 672, 351, 150, 48, 10, 1, 4096, 2816, 1792, 1023, 501, 198, 58, 11, 1, 9728, 6912, 4608, 2815, 1524, 699, 256, 69, 12, 1, 22784, 16640, 11520 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS In the language of the Shapiro et al. reference (given in A053121) such a lower triangular (ordinary) convolution array, considered as matrix, belongs to the Riordan-group. The G.f. for the row polynomials p(n,x) (increasing powers of x) is (((1-z)^2)/(1-2*z)^3)/(1-x*z/(1-z)). This is the third member of the family of Riordan-type matrices obtained from A007318(n,m) (Pascal's triangle read as lower triangular matrix) by repeated application of the prs-procedure. The column sequences appear as A049611(n+1), A001793, A001788, A055580, A055581, A055582, A055583 for m=0..6. LINKS FORMULA a(n, m)=sum(A055249(n, k), k=m..n), n >= m >= 0, a(n, m) := 0 if n= m >= 0, a(n, m) := 0 if n= 0. EXAMPLE {1}; {4,1}; {13,5,1}; {38,18,6,1};... Fourth row polynomial (n=3): p(3,x)= 38+18*x+6*x^2+x^3 CROSSREFS Cf. A007318, A055248, A055249. Row sums: A049612(n+1)= A055584(n, 0). Sequence in context: A002564 A019428 A184753 * A193956 A193843 A116414 Adjacent sequences:  A055249 A055250 A055251 * A055253 A055254 A055255 KEYWORD easy,nonn,tabl AUTHOR Wolfdieter Lang, May 26 2000 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .