A059781 Triangle T(n,k) giving exponent of power of 2 dividing entry (n,k) of trinomial triangle A027907.

0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 4, 0, 4, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 3, 2, 4, 1, 3, 4, 3, 0, 3, 4, 3, 1, 4, 2, 3, 0, 0, 0, 0, 2, 1, 1, 1, 8, 0, 0, 0, 8, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0

Offset

0,18

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. 117.

Links

Table of n, a(n) for n=0..104.

Example

0; 0,0,0; 0,1,0,1,0; ...

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 2 = 1 then printf(`%d, `, 0) else printf(`%d, `, ifactors(T(i, j))[2, 1, 2] ) fi: od:od: # James A. Sellers, Feb 22 2001

Crossrefs

Sequence in context: A355625 A286238 A286237 * A233905 A285284 A288183

Adjacent sequences: A059778 A059779 A059780 * A059782 A059783 A059784

Keyword

nonn,easy,tabf

Author

N. J. A. Sloane, Feb 22 2001

Extensions

More terms from James A. Sellers, Feb 22 2001

Status

approved