OFFSET
0,3
COMMENTS
Sum of entries in row n = (2^n/48)*(n+4)*(n^2 + 11n + 12) = A049612(n+1).
LINKS
Harvey P. Dale, Table of n, a(n) for n = 0..1000
EXAMPLE
Triangle starts:
1;
1, 4;
1, 8, 10;
1, 12, 30, 20;
1, 16, 60, 80, 35;
1, 20, 100, 200, 175, 56;
1, 24, 150, 400, 525, 336, 84;
MAPLE
T:=(n, k)->(k+1)*(k+2)*(k+3)*binomial(n, k)/6: for n from 0 to 10 do seq(T(n, k), k=0..n) od; # yields sequence in triangular form
MATHEMATICA
Flatten[Table[(k+1)(k+2)(k+3) Binomial[n, k]/6, {n, 0, 10}, {k, 0, n}]] (* Harvey P. Dale, May 14 2012 *)
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Nov 10 2006
EXTENSIONS
Edited by N. J. A. Sloane, Dec 02 2006
STATUS
approved