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!)
 A187002 Triangle T(n,m): column m is the expansion of (x+2*x^2+3*x^3+3*x^4+2*x^5+x^6)^m 0
 1, 2, 1, 3, 4, 1, 3, 10, 6, 1, 2, 18, 21, 8, 1, 1, 25, 53, 36, 10, 1, 0, 28, 105, 116, 55, 12, 1, 0, 25, 171, 294, 215, 78, 14, 1, 0, 18, 234, 616, 660, 358, 105, 16, 1, 0, 10, 273, 1098, 1677, 1287, 553, 136, 18, 1, 0, 4, 273, 1696, 3640, 3828, 2275, 808, 171, 20, 1, 0, 1, 234, 2297, 6890, 9739, 7735, 3740, 1131, 210, 22, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Kruchinin Vladimir Victorovich, Composition of ordinary generating functions. FORMULA T(n,m) := sum(k=m..n, binomial(m,k-m) * sum(j=0..k, binomial(k,j) * binomial(j,n-3*k+2*j))). EXAMPLE 1, 2,1, 3,4,1, 3,10,6,1, 2,18,21,8,1, 1,25,53,36,10,1, 0,28,105,116,55,12,1, 0,25,171,294,215,78,14,1 PROG (Maxima) T(n, m) := sum(binomial(m, k-m) * sum(binomial(k, j) * binomial(j, n-3*k+2*j), j, 0, k), k, m, n); CROSSREFS Sequence in context: A135086 A210561 A210549 * A177226 A059026 A233529 Adjacent sequences:  A186999 A187000 A187001 * A187003 A187004 A187005 KEYWORD nonn,tabl AUTHOR Vladimir Kruchinin, Mar 01 2011 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 30 00:57 EDT 2021. Contains 346346 sequences. (Running on oeis4.)