|
| |
|
|
A059782
|
|
Triangle T(n,k) giving exponent of power of 3 dividing entry (n,k) of trinomial triangle A027907.
|
|
0
|
|
|
|
0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 3, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,30
|
|
|
REFERENCES
|
B. A. Bondarenko, Generalized Pascal Triangles and Pyramids (in Russian), FAN, Tashkent, 1990, ISBN 5-648-00738-8. English translation published by Fibonacci Association, Santa Clara Univ., Santa Clara, CA, 1993; see p. 118.
|
|
|
LINKS
|
|
|
|
EXAMPLE
|
0; 0,0,0; 0,0,1,0,0; 0,1,1,0,1,1,0; ...
|
|
|
MAPLE
|
with(numtheory): T := proc(i, j) option remember: if i >= 0 and j=0 then RETURN(1) fi: if i >= 0 and j=2*i then RETURN(1) fi: if i >= 1 and j=1 then RETURN(i) fi: if i >= 1 and j=2*i-1 then RETURN(i) fi: T(i-1, j-2)+T(i-1, j-1)+T(i-1, j): end: for i from 0 to 20 do for j from 0 to 2*i do if T(i, j) mod 3 <> 0 then printf(`%d, `, 0) fi: if T(i, j) mod 3 = 0 and T(i, j) mod 2 = 0 then printf(`%d, `, ifactors(T(i, j))[2, 2, 2] ) fi: if T(i, j) mod 3 = 0 and T(i, j) mod 2 = 1 then printf(`%d, `, ifactors(T(i, j))[2, 1, 2] ) fi: #printf(`%d, `, T(i, j)) od:od: # James A. Sellers, Feb 22 2001
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
nonn,easy,tabf
|
|
|
AUTHOR
|
|
|
|
EXTENSIONS
|
|
|
|
STATUS
|
approved
|
| |
|
|
