OFFSET
0,1
COMMENTS
Row sums are A020729.
LINKS
A. Lakhtakia, R. Messier, V. K. Varadan, V. V. Varadan, Use of combinatorial algebra for diffusion on fractals, Physical Review A, volume 34, Number 3 (1986) p. 2502, Fig. 3.
FORMULA
EXAMPLE
Triangle begins
2;
5, 5;
13, 24, 13;
35, 90, 90, 35;
97, 312, 432, 312, 97;
275, 1050, 1800, 1800, 1050, 275;
793, 3492, 7020, 8640, 7020, 3492, 793;
2315, 11550, 26460, 37800, 37800, 26460, 11550, 2315;
6817, 38064, 97776, 157248, 181440, 157248, 97776, 38064, 6817;
MAPLE
A154692 := proc(n, m)
(2^(n-m)*3^m+2^m*3^(n-m))*binomial(n, m) ;
end proc:
seq(seq(A154692(n, m), m=0..n), n=0..10) ; # R. J. Mathar, Oct 24 2011
MATHEMATICA
Clear[t, p, q, n, m]; p = 2; q = 3;
t[n_, m_] = (p^(n - m)*q^m + p^m*q^(n - m))*Binomial[n, m];
Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];
Flatten[%]
CROSSREFS
KEYWORD
AUTHOR
Roger L. Bagula and Gary W. Adamson, Jan 14 2009
STATUS
approved