The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A094930 Triangle T(n,m) read by rows, defined by squaring a matrix with row entries 2+3*(m-1). 3
 4, 14, 25, 30, 65, 64, 52, 120, 152, 121, 80, 190, 264, 275, 196, 114, 275, 400, 462, 434, 289, 154, 375, 560, 682, 714, 629, 400, 200, 490, 744, 935, 1036, 1020, 860, 529, 252, 620, 952, 1221, 1400, 1462, 1380, 1127, 676, 310, 765, 1184, 1540, 1806, 1955, 1960 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Matrix square of the matrix B(n,m) = 2+3*(m-1), B containing the first terms of A016789 in its row n, n>0, 1<=m<=n. LINKS Robert Israel, Table of n, a(n) for n = 1..10011 (rows 1 to 141, flattened) FORMULA T(n,m) = sum_{k=m..n} B(n,k)*B(k,m) = (3*m-1)*(3*m+3*n-2)*(n+1-m)/2. Row sums: sum_{m=1..n} T(n,m) = A024212(n). G.f. as triangle: x*y*(4+2*x+13*x*y-16*x^2*y+x^2*y^2-4*x^3*y^2)/((1-x)*(1-x*y))^3. - Robert Israel, May 06 2019 EXAMPLE The matrix B starts as 2 ; 2,5 ; 2,5,8 ; 2,5,8,11 ; 2,5,8,11,14 ; and interpreting this as a lower triangular matrix, its square T = B^2 starts 4; 14,25; 30,65,64; 52,120,152,121; MAPLE A094930 := proc(n, m) (3*m-1)*(3*m+3*n-2)*(n+1-m)/2 ; end: seq(seq(A094930(n, m), m=1..n), n=1..20) ; # R. J. Mathar, Oct 09 2009 CROSSREFS Cf. A024212, A096037, A011379, A002411, A096038, A095794. Sequence in context: A017317 A195973 A116963 * A289665 A080286 A075381 Adjacent sequences: A094927 A094928 A094929 * A094931 A094932 A094933 KEYWORD nonn,easy,tabl AUTHOR Gary W. Adamson, Jun 17 2004 EXTENSIONS Edited and extended by R. J. Mathar, Oct 09 2009 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 26 01:31 EDT 2024. Contains 372807 sequences. (Running on oeis4.)